ML20072Q609
| ML20072Q609 | |
| Person / Time | |
|---|---|
| Site: | 05200004 |
| Issue date: | 04/30/1992 |
| From: | Schrock V, Vial E CALIFORNIA, UNIV. OF, BERKELEY, CA |
| To: | |
| Shared Package | |
| ML20072Q607 | List: |
| References | |
| UCB-NE-4193, NUDOCS 9409120132 | |
| Download: ML20072Q609 (30) | |
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UCB NE-4193 l i A CORRELATION BASED ON THE COMBINED UCB AND MIT l DATA SETS FOR CONDENS ATION INSIDE TUBES i WITH NONCONDENSIBLE GAS 1 i i Eric Vial
- and ;
j Virgil E. Schrock Prepared by the ! University of California, Berkeley for the General Electric Company San Jose, CA r April 1993
*EDF, Department of kcactor Physics, assigned to UC Berkeley l i
k a 9409120132 940906 PDR ADOCK 05200004 A PDR
l 4 l INTRODUCTION ! General Electric has sponsored experimental studies of condent . tion of steam i from steam-gas mixtures flowing downward in vertical tubes' at the University of California, Berkeley and at Massachusetts Institute of Technology. The general ) l objective for the studies was to provide a correlation for condensation heat transfer for l use in the design of Isolation Condensers and Passive Containment Cooling Condensers l in the Simplified Boiling Water Reactor, SBWR. Three theses have resulted from these l l studies. The first at UCB, Vierow [1], used a one inch diameter copper condenser tube 2.4 m in length and mounted as the downflow side of a natural circulation loop. A measured gas (air) content of the loop was held constant during tests. Steam injected into I the lower plenum of the loop, mixed with the air and flowed by natural circulation through the riser and the downflow condenser where the steam condensed and the air was returned to the lower plenum. The condenser was cooled by an annular waterjacket with l
- upflow. The results of this experiment were presented at the International Conference on Multiphase Flow in 1991 [2,3]. One of the papers was concerned with flow instabilities l and the other presented a correlation of the steady state heat transfer results for the situation where the tube wall temperature decreased monotonically in the flow direction,
- as expected. Some steady state results displayed a " temperature inversion", or an unexplained initial rise in temperature preceding a steady decline. These were excluded
! from the correlation data base. The correlation developed in the form of a " degradation" factor as used in some previous containment calculations and adopted by GE for the evaluation of the SBWR using the TRAC-G code. This factor is the ratio of the local experimental heat transfer coefficient to a reference heat transfer coefficient predicted by the Nusselt film flow model for the same local condensate flowrate. For condensation i . l from large stagnant volumes the facior is less than unity when gas is present. Because the , 1 interfacial shear tends to thin the film (downflow), the degradation factor can be larger I i than unity near the inlet for condensing inside tubes. l The second thes_is, done at UCB, Ogg [4], used forced circulation in a two inch ! diameter stainless steel tube similar to the SBWR condensers. He apparatus and i procedures were otherwise similar to Vierow's experiment. Both air and helium were used as the noncondensible. No flow instabilities were encountered under these forced flow conditions. Temperature inversions (with a somewhat different signature that seen by Vierow) were consistently present near the inlet of the tube. Data in the inversion region were excluded from correlation base. Subsequent examination of wall
}
~ i thermocouples suggested that these inversions were caused by faulty thermocouple mounting. Helium and air data were found to correlate using the same correlation form but with different coefficients. At the same mass fraction helium was found to give a lower heat transfer coefficient than did air. At the same mole fraction the reverse was true. The heat transfer coefficient for air-steam mixtures was f'ound to be a bit lower than obtained by Vierow, as much as a factor of two between them at the highest gas j mixture Repolds numbers.
l The third thesis, done at MIT, Siddique [5], used forced downflow in a two inch diameter stainless steel tube. The apparatus was very similar to Ogg's differing mainly in i details of thermocouple mounting and the use of air bubbles injected into the cooling water to promote mixing for measurement of water bulk temperature. Experimental conditions differed in that gas mass fraction was varied from approximately 0.10 to 0.40 while the UCB data included the range 0 to 0.10. No temperature inversion was reported l in the MIT data. Siddique developed a correlation based on the premise that the thermal l resistance of the liquid film was negligible compared with the resistance associated with ' diffusion in the steam-gas mixture. Parameters for the correlation were deduced from nondimensionalization of the gas-vapor energy equation. He cornpared his correlation with Vierow's and noted that his results were up to a factor of ten above Vierow's where the heat transfer coefficient was large but lower by as much as a factor of two where the heat transfer coefficient was low. Ogg's data were not available to Siddique but it is ! evident that the large discrepancy between the MIT data and Vierow's becomes even 1 larger when the MIT data are compared with Ogg's data for high gas mixture Reynolds ! numbers. Because the MIT and UCB results appeared to differ by a wider margin than could be attributed to the combined experimental errors, the present study was undertaken j to critically review the three data sets to better understand the differences and, if possible, ( to develop correlations (in the fomdt of degradation factor as a function of mixture mass fraction and mixture Reynolds number) that adequately represent the combined data sets for each gaseous specie. I COMMENTS ON THE DATA COMPARISONS The closer examination of the large discrepancy cited by Siddique revealed that it occurred only for a small number of data points all of which were at the test section inlet where the calculated heat transfer coefficients involved extrapolation of data by fitting axial profiles. Tube wall thermocouples were located at 10,41,71,102,132,163,193, l
I l '. 224, and 254 cm from the entrance of the condenser. The ones located at 41 and 132 cm failed. Thus only tlirce data points were available in the region between 0 and 163 cm making the fitting process less certain, especially the extrapolation to the entrance. In I i addition, the cooling water temperature was not obtained at the 10 cm position and the temperature was measured in the jacket outlet pipe at a location to near the jacket to l ensure that the water was well mixed. This resulted in less confidence in the calculated j heat flux in the first 10 cm of the condenser. After discussing these concerns with j l Professor Golay of MIT, it was agreed to delete the calculated results at the 0 and 10 cm positions from the MIT data set for the pugoses of developing a composite correlation. ! It was further noted that in both the Ogg and Siddique sets there were data reported in the downstream regions where the accuracy of calculated heat flux was so poor that the results did not warrant retention. It was decided to delete all data for which the heat flux was 1 % or less of the entrance value. The final data base then included Vierow's runs without temperature inversions, Ogg's results downstream of the inversion (i.e., excluding the first 45 cm of the ~ condenser) and Siddique's results excluding the points at 0 and 10 cm, and with all data with the very low heat fluxes deleted. In order to combine the total data for a correlation of degradation factor, it was first necessary to calculate the degradation factors for the MIT data. This was done using the condensate flowrate reported in Siddique's tables to calculate the reference film thickness and the reference " theoretical" heat transfer j coefficient. It was then divided into the experimental heat transfer from Siddique's tables i to obtain the degradation factor. The results are tabulated in Table la for steam-air and l Table 1b for steam-helium. i l CORRELATION PROCEDURE The correlation form is l j f= fi xf2 (1) where f trepresents the interfacial shear enhancement and f2 represents the noncondensible gas degradation of the heat transfer coefficient based on the saturation l temperature at the mixture bulk vapor partial pressure. The Vierow-Schrock correlation had been developed by plotting data as f vs. gas mass fraction M, for constant values of gas-vapor mixture Reynolds number. These curves were extrapolated to zero gas mass fraction to obtain a set of data for the correlation l ) i
l. l l . 1 f = f = 1 + C Re m - (2) Ogg made four runs with pure steam to obtain a correlation in the same form. His data did not display a high degree of reproducibility but his average results gave a correlation that was lower than Vierow's at high values of Rem. Siddique's data included no pure j steam results. As a first attempt the Ogg f icorrelation was chosen. Then for each data set (VIEROW, OGG, SIDDIQUE), (1 fexp/floco) was plotted l as a function of the local gas mass fraction M ato see the degree of correlation according to the previously developed form l I f=1-CM' 2 2 a (3) The results for steam-air mixtures are shown on the figures 1,2 and 3. The most l interesting characteristic is that, for the SIDDIQUE's data set, there is a clear difference ~ between the results for low Re m and high Rem, the last ones being lower than the
- previous ones. It was then decided to find another 3f factor which will give lower values for low Re, and higher values for high Remthan the ones given by the OGG's fi factor.
Looking again at the pure steam runs from OGG's thesis, the new f3 factor was found by l fitting the values given by the run #27,6 (cf figure 4) which seems to give a response more correct at low Rem (tends to unity) and higher at high Re mto better represent the MIT data. The fl factor was found to be: finew=1+1.2*10 8*Rem2 for Rem s5000 (4a) fInew=0.7673+1.0654*10-4*Re m for Rem 25000 (4b) t Then, for each steam-air data set,(1-fexp/f inew) was plotted as a function of M,. The results are shown on the figures 5,6 and 7. There is a significant gathering of the points for each data set, even though a significant scatter remains for a few points. All the results (using finew) were plotted together (cf. figure 8) and a new2f factor for steam-air was found as : o for Ma s 0.4 (Sa) f2new=1-1.0846*Ma .2344 l o for 0.4 s Ma s 0.9 (5b) f2new=1-0.9562*Ma .0969 0 for Ma 20.9 (Sc) f2new=1-Ma .5229 Steam-Air Correlation l
The results given by the f2new factor are shown on the figures 5,6,7 and 8 on which the line represent s 1-f2new=C*Ma". In order to have a clear picture of the precision of the new correlation, the . ; experimental degradation factor was plotted against the. degradation factor fnew=finew*f2new calculated with the new correlation for each data set. The results are shown on the figures 9,10 and 11. ; The standard deviations are: ,
' f. - f ' '
s = standard deviation = y _] s = 0.3826 for VIEROW's data set , s = 0.4647 for OGG's data set s = 0.4854 for SIDDIQUE's data set s = 0.4613 for all the data sets together. The last step was to compare the actual correlation used in the TRAC-G code with the new correlation. A graph representing the TRAC-G degradation factor fTRACG Sga'Rst the fnew was then carried out for each data set (cf. figures 12,13,14). It was seen that the biggest differences between the both are due to the limitation of the f1TRACGfor high Remand also to the values for low M (cf. figures 13,14).- For that reason, with the OGG's experimental Remand M,, the fTRACG without limitation on the fg actor f was plotted against the fnew(cf. figure 15). 'Ihe results given by the TRAC-G factor are much highdr than those given by the new correlation factor. So, the f factor used in the TRAC-G correlation, without limitation, gives too high values i and with limitation too low values. About the important discrepancies for the low M , the f2TRACG was plotted [ against the f2new . As expected, the difference between the two is much higher for low M, (cf. figure 16). l
3 A similar process was followed to obtain the correlation of the f2 factor for the case of steam-helium mixtures. The fl correlation is the same as for steam-air mixtures. The f2 correlation was found as follows i o f2new=1 Ma .t338 for OsMasl (7a) l STANDARD DEVIATION ON f , s=0.591 for OGG's data set s=2.164 for SIDDIQUE's data set s=1.1427 for the Total Data Base The f correlation for helium is compared with Ogg's data in Figure 17, with Siddique's data in Figure 18 and with the combined data in figure 19. , CONCLUSIONS Correlations have been obtained to give a reasonable representation of the combined UCB and MIT data for condensation from steam-gas mixtures (air and helium cases). For steam-air, the standard deviation of correlation predictions from the l experimental results is only a little larger than the previous deviations for the Vierow and l Ogg correlations. The results of this study show that the MIT and UCB data differ by a smaller amount than thought by Siddique. Still the differences are significant and improvements in both experiments are evidently needed to give a more consistent and accurate data base. For steam-helium, the new correlation has a standard deviation from ; Ogg's data of 0.59 compared with 0.33 for his own correlation and the standard deviation l of the new correlation from Siddidue's data (2.16) is quite largt. There is no apparent reason for the poorer result for steam-helium. Further study is necessary. The difference between the new correlations and the present correlation used in the TRAC-G code are not expected to produce major changes in predicted condenser performance. Some calculations will have to be performed to verify this expectation. l
1 1
. . . l j
REFERENCES
- 1. K. M. Vierow, " Behavior of Steam-Air Systems Condensing in Concurrent Vertical ,
Downflow", MS Thesis, University of California, Berkeley, May 1990. i
- 2. K. M. Vierow and V. E. Schrock, " Condensation in a Natural Circulation Loop with Noncondensable Gas - Part I - Heat Transfer", Proc. Int. Conf. Multiphase Flow, i Tsukuba '91, pp.183-186,1991.
- 3. K. M. Vierow and V. E. Schrock, " Condensation in a Natural Circulation Loop with Noncondensable Gas Part II- Flow Instability", Proc. Int. Conf. Multiphase Flow, '
Tsukuba '91, pp.187-1891991. ( i I
- 4. D. Ogg, " Vertical Downflow Condensation Heat Transfer in Gas-Steam Mixtures",'
MS Thesis, University of California, Berkeley, Dec.1991. l l l 5. M. Siddique, "The Effects of Noncondensable Gases on Steam Condensation under Forced Convection Conditions", PhD Thesis, Massachusetts Institute of Technology, Jan.1992. i l l I
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RESULTS FOR AZR j l i Results for the run el x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom ' i 0.41 0.11291E-03 5.71199 0.88500 0.15494E+00 -0.160 3087 O.71 0.15101E-03 4.11628 0.47300 0.11491E+00 0.386. 1156 1.02 0.17437E-03 3.45978 0.00000 0.00000E+00 1.000 Results for the run #2 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg _ Ma Rom i 0.41 0.11574E-03 5.55268 0.80900 0.14570E+00 0.265 - 3141 0.71 0.14616E-03 4.25744 0.46700 0.10969E+00 0.444 1731 t 1.02 0.16516E-03 3.70020 0.39400 0.10648E+00' O.806 809 1.32 0.17476E-03 3.44622 0.00000. 0.00000E+00 1.000 Results for the run #3 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom , 0.41 0.10931E-03 5.89417 0.76000 0.12894E+00 0.295 3660 0.71 0.14257E-03 4.37545 0.45900 0.10490E+00 0.477 2081 .* 1.02 0.16263E-03 3.73880 0.31000 0.82914E-01 0.659 1385 1.32 0.17832E-03 3.35485 0.00000 0.00000E+00 1.000 Results for the run #4 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C). fdeg Ma Rom 0.41 0.10568E-03 .6,07756 0.65200 0.10728E+00 0.343 4539-0.71 0.13360E-03 4.66940 0.40300 0.86307E-01 0.441 3379 1.02 0.15458E-03 3.94567 0.27400 0.69443E-01 0.558 2527 1.32 0.16905E-03 3.55550 0.19600 0.55126E-01 0.689 1930 1.63 0.17885E-03 3.33274 0.14900 0.44708E-01 0.817 1537 . 1.93 0.18409E-03 3.22510 0.13400 0.41549E-01 0.927 1311 2.24 0.18515E-03 3.19711 0.00000 0.00000E+00 1.000 Results for the run #5 x (m) delta (m) hnu ~ (kw/m2 C) hexp (kw/m2C)' fdeg Ma Rom 0.41 0.10372E-03 6.17795 0.58600 0.94853E-01 0.390 4967 0.71 0.13084E-03 4.76567 0.40500 ~0.84983E-01 -0.481 -3865 1.02 0.15188E-03 4.02075 0.30600 0.76105E-01 0.593 2976 1.32 0.16614E-03 3.62567 0.23900 0.65919E-01 0.712 2347 1.63 0.17571E-03 3.40009 0.17900 0.52646E-01 0.811 1974 l 1.93 0.18179E-03 3.27048 0.11900 .0.36386E-01 0.902- '1722 ; l 2.24 0.18718E-03 3.16214 0.00000 0.00000E+00 1.000 I j Results for the run 46 ) x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom I 0.41 0.99676E-04 6.42300 0.55900 0.87020E-01 0.420 5452 j 0.71 0.12631E-03 4.94284 0.39500 0.79914E-01 0.502 4396 i 1.02 0.14693E-03 '4.16604 0.30100 0.72251E-01 0.598 3534 1.32 0.16184E-03 3.73094 0.23700 0.63523E-01 0.704 2860 1.63 0.17315E-03 3.45924 0.18600 0.53816E-01 0.810 2374 1.93 0.18020E-03 3.304,19 0.13400 0.40567E-01 0.898 2078 2.24 0.18385E-03 3.223L4 07d0000 0.00000E+00 0.925 Results for the run #7 l x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom ' 0.41 0.12214E-03 5.24117 0.60500 0.11543E+00 0.165 2720 O.71 0.16179E-03 3.76159 0.31500 0.83741E-01 0.322 1304 1.02 0.18385E-03 3.23938 0.22600 0.69767E-01 0.775 445 1.32 0.19037E-03 3.10203 0.00000 0.00000E+00 1.000 Results for the run 98 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom 0.41 0.11947E-03 5.35629 0.59900 0.11183E+00 0.250 3095 0.71 0.15910E-03 3.82479 0.32400 0.84711E-01 0.423 1703 1.02 0.18134E-03 3.28504 0.22600 0.68797E-01 0.749 834 1.32 0.18946E-03 3.11825 0.00000 0.00000E+00 1.000 l table la l V J l
l Results'for the run #9 x(m) delta (m) hnu (kw/m2 C) hexp (kw /m2C) fdeg Ma Rom 0.41 0.11019E-03 5.84838 0.56800 0.97121E-01 0.302 3779 l 0.71 0.14182E-03 4.38585 0.35900 0.81854E-01 0.431 2502 1 1.02 0.16670E-03 }.62614 0.25400 0.70047E-01 0.626 1580 1.32 0.18545E-03 3.19188 0.25200 0.78802E-01 0.912 975 1.63 0.19240E-03 3.05227 0.00000 0.00000E+00 1.000 , i Results for the run #10 i delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem x (m) 0.41 0.10970E-03 5.87298 0.55200 0.93990E-01 0.390 3983 0.71 0.14026E-03 4.43828 0.34500 0.77733E-01 0.527 2772 i' 1.02 0.16370E-03 3.70064 0.23900 0.64584E-01 0.703 1925 1.32 0.18093E-03 3.28825 0.20700 0.62951E-01 0.905 1392 l 1,63 0.18846E-03 3.12790 0.00000 0.00000E+00 1.000 Results for the run #11 delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem x (m) 0.41 0.10665E-03 6.03437 0.50700 0.84019E-01 0.448 4936 0.71 0.13557E-03 4.60216 0.33300 0.72357E-01 0.555 3803 1.02 0.15757E-03 3.86595 0.23700 0.61304E-01 0.674 2972 1.32 0.17342E-03 3.45689 0.18200 0.52648E-01 0.798 2387 1,63 0.18385E-03 3.23190 0.16400 0.50744E-01 0.916 2010 1.93 0.18923E-03 3.12642 0.00000 0.00000E+00 1.000 Results for the run #12 delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem x (m) 0.41 0.10308E-03 6.18487 0.40600 0.65644E-01 0.525 5565 0.71 0.12948E-03 4.79819 0.28800 0.60023E-01 0.612 4603 1.02 0.14956E-03 4.07095 0.21800 0.53550E-01 0.701 5866 1.32 0.16401E-03 3.66253 0.17300 0.47235E-01 0.789 3315 1.63 0.17453E-03 3.41393 0.14900 0.43645E-01 0.872 2917 1.93 0.18149E-03 3.26720 0.14000 0.42850E-01 0.948 2623 2.24 0.18607E-03 3.17487 0.00000 0.00000E+00 1.000 Results for the run 413 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom 0.41 0.12568E-03 5.14649 0.60800 0.11814E+00 0.369 1283 0.71 0.17122E-03 3.50450 0.00000 0.00000E+00 1.000 Results for the run #14 x (m) delta (m) hnu (kw/nG C) hexp (kw /m2C) fdeg Ma Rem 0.41 0.12387E-03 5.16283 0.57500 0.11137E+00 0.405 2062 0.71 0.16406E-03 3.71148 0.00000 0.00000E+00 1.000 Results for the run #15 x (m) delta (m) hnu (kw/m2 C) hexp (kw /m2C) fdeg Ma Rem 0.41 0.11983E-03 5.34817 0.48100 0.89937E-01 0.463 2506 0.71 0.15442E-03 3.96894 0.31300 0.78862E-01 0.751 1374 1.02 0.17591E-03 3.38215 0 ,0,0000 0.00000E+00 1.000 l Results for the run #16 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem j 0.41 0.11768E-03 5.45121 0.46800 0.85853E-01 0.511 2929 0.71 0.14946E-03 4.12435 0.30300 0.73466E-01 0.739 1847 1.02 0.17329E-03 3.44628 0.27400 0.79506E-01 0.966 1355 1.32 0.18519E-03 3.16265 0.00000 0.00000E+00 1.000 Results for the run #17 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.11099E-03 5.76773 0.39600 0.68658E-01 0.503 3581 0.71 0.14053E-03 4.40024 0.24800 0.56361E-01 0.659 2563 1.02 0.16309E-03 3.68735 0.16500 0.44748E-01 0.823 1929 1.32 0.17825E-03 3.31522 0.00000 0.00000E+00 0.961 table la (continued)
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. . j l
! Results,for the run $18 , l' x (m) delta (m) hnu (kw/m2 C) hexp (kw /m2C) fdeg Ma Rom i 0.41 0.11091E-03 6.02457 2.13900 0.35505E+00 0.159 9660 O.71 0.13673E-03 4.79983 1.13800 0.23709E+00 0.199 7568 1.02 0.15799E-03 4.07625 0.70800 0.17369E+00 0.249 5921 1.32 0.17717E-03 3.56185 0.48500 0.13617E+00 0.311 4618 1.63 0.19531E-03 3.17020 0.36400 0.11482E+00 0.389 3565 > l 1.93 0.21235E-03 2.86524 0.30800 0.10750E+00 'O.494 2672 2.24 0.22644E-03 2.65245 0.31100 0.11725E+00 0.659 1856 2,b4 0.24015E-03 2.47502 0.00000 0.00000E+00 0.997 - i-Results for the run 419 x (m) delta (m) hnu (kw/m2 C) hexp (kw /m2C) fdeg Ma Rem 0.41 0.10869E-03 6.12366 1.77500 0.28986E+00 0.217 10364 0.11 0.13402E-03 4.87842 1.01700 0.20847E+00 0.261 8453 1.02 0.15548E-03 4.12711 0.67000 0.16234E+00 0.313 6870 1.32 0.17513E-03 3.59223 0.48500 0.13501E+00 0.377 5551 : 1.63 0.19297E-03 3.20286 0.38200 0.11927E+00 0.455 4438 1.93 0.21000E-03 2.89538 0.33400 0.11536E+00 0.555 3473 2.24 0.22363E-03 2.68737 0.33900 0.12615E+00 0.694 2608 , 2.54 0.23579E-03 2.52759 0.00000 0.00000E+00 0.911 Results for the run 620 , x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom 0.41 -0.10303E-03 6.45237 1.76500 0.27354E+00 0.252 11261 , 0.71 0.12924E-03 5.05539 1.10900 0.21937E+00 0.296 9401 ' 1.02 0.15167E-03 4.23025 0.78300 0.18510E+00 0.350 7754 1.32 0.17203E-03 3.65964 0.58500 0.15985E+00' O.417 6311 1.63 0.19090E-03 3.24031 0.45100 0.13918E+00 0.500 5068 , 1.93 0.20876E-03 2.91403 0.35200 0.12079E+00 0.602 4019 2.24 0.22376E-03 2.68208 0.27800 0.10365E+00 0.723 3164 2.54 0.23586E-03 2.51912 0.22200 0.88126E-01 0.849 2555 Results for the run #21 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom 0.41 0.10075E-03 6.58640 1.48700 0.22577E+00 0.298 12143 0.11 0.12721E-03 5.12756 0.98000 0.19112E+00 0.343 10357 1.02 0.14960E-03 4.28386 0.72400 0.16901E+00 0.396 8749 1.32 0.16998E-03 3.70163 0.57000 0.15399E+00 0.460 7313 1.63 0.18851E-03 3.28319 0.46900 0.14285E+00 0.538 6044 1.93 0.20595E-03 2.95973 0.40000 0.13515E+00 0.630 4941 2.24 0.22002E-03 2.73730 0.35900 0.13115E+00 0.740 4002 2.54 0.23154E-03 2.57908 0.34600 0.13416E+00 0.848 3339 , i Results for the run $22 , x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem ! 0.41 0.10180E-03 6.50141 1.35100 0.20780E+00 0.369 12761 l 0.71 0.12765E-03 5.09484 0.90100 0.17685E+00 0.416 11088 i 1.02 0.14941E-03 4.27545 0.66600 0.15577E+00 0.469 9604 1.32 0.16901E-03 3.71234 0 ,52000 0.14007E+00 0.528 8301 1.63 0.18632E-03 3.31471 0.h000 0.12671E+00 0.593 7174 1.93 0.20239E-03 3.00812 0.34700 0.11535E+00- 0.663 6221 2.24 0.21443E-03 2.80995 0.29000 0.10320E+00 0.734 5438 2.54 0.22421E-03 2.66950 0.24300 0.91028E-01 0.803 4825 Results for the run 423 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10072E-03 6.56548 1.29200 0.19679E+00 0.408 13576 0.71 0.12624E-03 5.14970 0.87900 0.17069E+00 0.453 11962 1.02 0.14780E-03 4.32209 0.66000 0.15270E+00 0.504 10515 1.32 0.16727E-03 3.75218 0.52400 0.13965E+00 0.559 9230 1.63 0.18444E-03 3.35116 0.43200 0.12891E+00 0.620 8103 1.93 0.20060E-03 3.03798 0.36500 0.12015E+00 0.684 7129 2.24 0.21281E-03 2.83437 0.31500 0.11114E+00 0.751 6308 2.54 0.22297E-03 2.68750 0.27800 0.10344E+00 0.816 5641 ; table la (continued) I i I
Results for the run 424 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdsg Ma Rom 0.41 0.11088E-03 6.07139 1.67500 0.27588E+00 0.157 9082 0.71 0.13983E-03 4.72198 1.01500 0.21495E+00 0.209 6664 1.02 0.16497E-03 3.91549 0.69100 0.17648E+00 0.290 4643 1,32 0.18818E-03 7.35252 0.49900 0.14884E+00 0.423 3003 1,63 0.21061E-03 2.92707 0.39000 0.13324E+00 0.659 1737 1.93 0.22954E-03 2.62915 0.00000 0.00000E+00 1.000 Results for the run #25 ' x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom , 0.41 0.10698E-03 6.28548 1.49000 0.23705E+00 0.201 10162 I 0.71 0.13511E-03 4.88124 0.91800 0.18807E+00 0.251 7991 l 1.02 0.15954E-03 4.04699 0.63500 0.15691E+00 0.318 6125 l 1.32 0.18202E-03 3.46868 0.46900 0.13521E+00 0.411 4549 1.63 0.20291E-03 3.04834 0.36300 0.11908E+00 0.542 3256 1.93 0.22201E-03 2.73450 0.30300 0.11081E+00 0.726 2244 2.24 0.23699E-03 2.52696 0.30800 0.12189E+00 0.972 1502 2.54 0.24354E-03 2.44000 0.00000 0.00000E+00 1.000 Results for the run #26 x (m) delta (m) hnu (kw/m2 C) hexp (kw /m2C) fdeg Ma Rom 0.41 0.10805E-03 6.19838 1.27700 0.20602E+00 -0.284 10846 0.71 0.13580E-03 4.62724 0.83000 0.17194E+00 0.340 8829 1.02 0.15976E-03 4.01997 0.59500 0.14801E+00 0.410 1106 1.32 0.18195E-03 3.45243 0.44700 0.12947E+00 0.496 5665 1.63 0.20193E-03 3.04994 0.34500 0.11312E+00 0.597 4498 1.93 0.21887E-03 2.76765 0.26700 0.96472E-01 0.710 3599 2.24 0.23162E-03 2.58614 0.20300 0.78495E-01 0.823 2968 2.54 0.23891E-03 2.49488 0.15500 0.62127E-01 0.933 2550 Results for the run #27 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom 0.41 0.10394E-03 6.43537 1.21100 0.18818E+00 0.326 11810 0.71 0.13189E-03 4.97335 0.81500 0.16387E+00 0.381 9863 1.02 0.15551E-03 4.13404 0.60000 0.14514E+00 0.447 8173 1.32 0.17734E-03 3.54928 0.46300 0.13045E+00 0.525 6730 1,63 0.19694E-03 3.13660 0.36800 0.11732E+00 0.614 5526 l 1.93 0.21455E-03 2.83212 0.29800 0.10522E+00 0.714 4557 l 2.24 0.22784E-03 2.63596 0.24500 0.92945E-01 0.816 3824 2.54 0.23679E-03 2.52007 0.20800 0.82537E-01 0.910 3339 Results for the run #28 x(m). delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom 0.41 0.10587E-03 6.29725 1.10900 0.17611E+00 0.370 12005 1 0.71 0.13340E-03 4.89731 0.75800 0.15478E+00 0.427 10141 1.02 0.15742E-03 4.06328 0.56400 0.13880E+00 0.493 8524 1.32 0.17926E-03 3.49390 0.44000 0.12593E+00 0.569 7145 ! 1.63 0.19870E-03 3.09439 0.35300 0.11408E+00 0.554 5997 ! 1.93 0.21499E-03 2.81693 Og28800 0.10224E+JO 0.744 5076 2.24 0.22704E-03 2.64213 0.13800 0.90079E-01 0.832 4382 l 2.55712 0.19700 0.77040E-01 0.010 3926 l 2.54 0.23371E-03 l Results for the run #29 delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom x(m) 0.41 0.10229E-03 6.50879 0.99100 0.15226E+00 0.414 13322 0.71 0.12875E-03 5.07412 0.70500 0.13894E+00 0.464 11630 0.520 10123 1.02 0.15181E-03 4.21963 0.54300 0.12868E+00 1 1.32 0.17288E-03 3.63228 0.43900 0.12006E+00 0.583 8793 1.63 0.19163E-03 3.22104 0.36600 0.11363E+00 0.652 1636 1.93 0.20867E-03 2.91388 0.31400 0.10776E+00 0.725 6648 2.24 0.22139E-03 2.71876 0.27700 0.10188E+00 0.802 5831 i 2.54 0.23003E-03 2.60394 0.25400 0.97545E-01 0.873 5229 l table la (continued) , i
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I
l Results for the run #30 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.11852E-03 5.71979 1.57300 0.27501E+00 0.166 7091 0.11 0.15043E-03 4.40391 0.92400 0.20981E+00 0.264 4293 1.02 0.17974E-03 3.58142 0.63300 0.17675E+00 0.493 2096 1.32 0.20652E-03 3.01957 0.00000 0.00000E+00 1.000 Results for the run 831 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.11531E-03 5.86490 1.39900 0.23854E+00 0.221 7850 0.71 0.14686E-03 4.50033 0.86300 0.19176E+00 0.319 5247 1.02 0.17518E-03 3.67165 0.60100 0.16369E+00 0.492 3163 1.32 0.20305E-03 3.07378 0.55700 0.18121E+00 0.846 1600 I 1.63 0.22366E-03 2.71249 0.00000 0.00000E+00 1.000 j Results for the run #32 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem C.41 0.11172E-03 6.05425 1.28900 0.21291E+00 0.284 8881 0.71 0.14133E-03 4.68625 0.82300 0.17562E+00 0.372 6532 1.02 0.16792E-03 3.84669 0.58400 0.15182E+00 0.501 4600 1.32 0.19297E-03 3.25933 0.45400 0.13929E+00 0.692 3073 1.63 0.21697E-03 2.82601 0.35900 0.12703E+00 0.976 1880 1.93 0.23253E-03 2.57955 0.00000 0.00000E+00 1.000 Results for the run #33 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom 0.41 0.11048E-03 6.11163 1.20500 0.19716E+00 0.337 9959 0.71 0.13966E-03 4.73593 0.79600 0.16808E+00 0.420 7712 1.02 0.16575E-03 3.89561 0.58000 0.14889E+00 0.531 5832 1.32 0.18993E-03 3.31576 0.45300 0.13662E+00 0.677 4306 1.63 0.21251E-03 2.89606 0.41200 0.14226E+00 0.865 3149 1.93 0.22928E-03 2.63239 0.00000 0.00000E+00 1.000 Results for the run #34 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10887E-03 6.17868 1.04500 0.16913E+00 0.408 10855 0.71 0.13767E-03 4.78339 0.72000 0.15052E+00 0.487 8804 1.02 0.16269E-03 3.95672 0.53700 0.13572E+00 0.582 7074 1.32 0.18621E-03 3.37496 0.42300 0.12533E+00 0.695 5656 1.63 0.20738E-03 2.96700 0.35600 0.11999E+00 0.824 4551 1.93 0.22462E-03 2.69301 0.27100 0.10063E+00 0.959 3641 2.24 0.23430E-03 2.55432 0.00000 0.00000E+00 1.000 Results for the run #35 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem ) 0.41 0.10976E-03 6.15732 4.35300 0.70696E+00 0.148 12775 ! 0.71 0.13141E-03 5.12144 2.92100 0.57035E+00 0.182 10224 l l 1.02 0.1.i S 5 4 E-03 4.61471 2.33400 0.50577E+00 0.226 8071 1.32 0.15572E-03 4.30574 1.89200 0.43941E+00 0.282 6309 1.63 0.16466E-03 4.05481 1,35800 0.33491E+00 0.350 4939 1.93 0.17440E-03 3.79174 0.Y4800 0.19727E+00 0.422 3960 l 2.24 0.18831E-03 3.44019 0.26200 0.76159E-01 0.458 3585 2.54 0.21752E-03 2.85074 0.00000 0.00000E+00 0.507 l Results for the run 636 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.10621E-03 6.36063 3.93400 0.61849E+00 0.177 14688 0.71 0.12784E-03 5.26258 2.71200 0.51534E+00 0.209 12293 1.02 0.14210E-03 4.72552 2.22300 0.470v2E+00 0.247 10221 1.32 0.15258E-03 4.39453 1.85700 0.42257E+00 0.293 8466 1.63 0.16190E-03 4.12510 1.39800 0.33890E+00 0.345 7029 1.93 0.17211E-03 3.84495 0.85700 0.22289E+00 0.400 5910 2.24 0.18760E-03 3.45771 0.40900 0.11829E+00 0.452 5110 2.54 0.21683E-03 2.86791 0.14200 0.49513E-01 0.500 4516 table la (continued)
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Results.for the run #37 x (m) delta (m)- hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom 0.41 0.10588E-03 6.37931 3.87100 0.60681E+00 0.227 16422 0.71 0.12750E-03 5.27388 2.65000 0.50248E+00 0.260 14076 1.02 0.14174E-03 4.73537 2.19900 0.46438E+00 0.299 12035 1.32 0.15209E-03 (.40775 1.88900 0.42856E+00 0.343 10292 , 1.63 0.16115E-03 4.14656 1.48100 0.35716E+00 0.391 8846 l 1.93 0.17101E-03 3.87550 0.94800 0.24461E+00 0.439 7699 l 2.24 0.18539E-03 3.51131 0.47600 0.13556E+00 0.484 6851- l 2.54 0.21235E-03 2.94971 0.18400 0.62379E-01 0.525 6200 Results for the run #38 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10527E-03 6.41206 3.67400 0.57298E+00 0.285 17518 0.71 0.12680E-03 5.29850 2.52900 0.47730E+00 0.322 1524A 1.02 0.14092E-03 4.75871 2.11600 0.44466E+00 0.363 13275 1.32 0.15116E-03 4.43115 1.84000 0.41524E+00 0.407 11592 1.63 0.16013E-03 4.16923 1.46100 0.35042E+00 0.453 10200 1.93 0.16966E-03 3.90422 0.93900 0.24051E+00 0.498 9098 2.24 0.18380E-03 3.54038 0.46700 0.13191E+00 0.537 8289 2.54 0.21037E-03 2.97671 0.17700 0.59462E-01 0.571 7674 Results for the run #39 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom ! i 0.41 0.10511E-03 6.41952 3.60900 0.56219E+00 0.347 18566 l 0.71 0.12647E-03 5.31017 2.49400 0.46967E+00 0.387 16355 - 1.02 0.14056E-03 4.76805 2.09300 0.43896E+00 0.430 14432 1.32 0.15094E-03 4.43300 1.82900 0.41259E+00 0.475 12792 1,63 0.15992E-03 4.16992 1.46300 0.35085E+00 0.521 11432 1.93 0.16954E-03 3.90189 0.94900 0.24322E+00 0.563 10354 2.24 0.18375E-03 3.b3645 0.47600 0.13460E+00 0.600 9558 2.54 0.21083E-03 2.96676 0.18500 0.62358E-01 0.639 8827 Results for the run 440 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.10428E-03 6.46714 3.45200 0.53378E+00 0.397 19905 0.71 0.12550E-03 5.34797 2.39400 0.44765E+00 0.436 17773 1.02 0.13962E-03 4.79582 2.00600 0.41828E+00 0.478 15919 1.32 0.15002E-03 4.45525 1.74900 0.39257E+00 0.521 14338 1.63 0.15889E-03 4.19229 1.40000 0.33395E+00 0.562 13029 1.93 0.16839E-03 3.92477 0.91400 0.23288E+00 0.600 11991 2.24 0.18227E-03 3.56304 0.46400 0.13023E+00 0.632 11225 l 2.54 0.20813E-03 3.00722 0.18100 0.60189E-01 0.663 10545 . 1 I Results for the run #41
- x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rom O.41 0.11285E-03 6.05419 4.34400 0.71752E+00 0.131 14040 j 0.71 0.13614E-03 4.99973 2.68000 0.53603E+00 0.166 10937 l- 1.02 0.15281E-03 4.43356 1.92200 0.43351E+00 0.215 8297
, 1.32 0.16583E-03 4.06608 i g42800 0.35120E+00 0.283 6109 l 1.63 0.17718E-03 3.78236 1.d3200 0.27285E+00 0.380 4368 1.93 0.18907E-03 3.50565 0.68900 0.19654E+00 0.510 3072 2.24 0.20423E-03 3.18668 0.38500 0.12082E+00 0.661 2218 ! 2.54 0.22786E-03 2.76392 0.11600 0.41969E-01 0.777 1796 Results for the run #42 I x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem , 0.41 0.11033E-03 6.18764 3.90800 0.63158E+00 0.189 15459 l 0.71 0.13389E-03 5.07619 2.45600 0.48383E+00 0.229 12518 1.02 0.15050E-03 4.49528 1.81100 0.40287E+00 0.281 9990 1.32 0.16366E-03 4.11442 1.39200 0.33832E+00 0.347 7863 1.63 0.17490E-03 3.82795 1.04400 0.27273E+00 0.429 6132 , 1.93 0.18658E-03 3.55153 0.72000 0.20273E+00 0.526 4795 2.24 0.20160E-03 3.23000 0.42200 0.13065E+00 0.627 3849 2.54 0.22546E-03 2.79704 0.17900 0.63996E-01 0.725 3186 l s table la (continued) l 1
. . l l
Results for the run 4 43 l x (m) d'lta a (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem l 0.41 0.10984E-03 6.21044 3.58200 0.57677E+00 0.248 15936 l 0.71 0.13348E-03 5.08371 2.28300 0.44908E+00 0.295 13097 1.02 0.14998E-03 4.50339 1.71200 0.38016E+00 0.354 10666 l 1.32 0.16292E-03 4.12664 1.34000 0.32472E+00 0.424 8630 1.63 0.17393E-03 3.84299 1.02000 0.26542E+00 0.506 6986 l 1.93 0.18526E-03 3.57165 0.70100 0.19627E+00 0.593 5732 2.24 0.20040E-03 3.24290 0.39400 0.12150E+00 0.675 4864 l 2.54 0.22527E-03 2.78849 0.14600 0.52358E-01 0.742 4296 Results for the run #44 ! x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10939E-03 6.22853 3.04000 0.48808E+00 0.298 16543 0.71 0.13268E-03 5.10179 1.97600 0.38731E+00 0.347 13895 1.02 0.14914E-03 4.51540 1.50900 0.33419E+00 0.405 11627 1.32 0.16150E-03 4.15271 1.20300 0.28969E+00 0.470 9726 1.63 0.17229E-03 3.86947 0.92800 0.23983E+00 0.541 8189 1.93 0.18342E-03 3.59851 0.63900 0.17757E+00 0.613 7012 2.24 0.19847E-03 3.26563 0.35500 0.10871E+00 0.675 6193 2.54 0.22437E-03 2.78725 0.13100 0.47000E-01 0.725 5646 Results for the run #45 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10718E-03 6.35052 2.71000 0.42674E+00 0.363 17688 0.71 0.13014E-03 5.19379 1.78400 0.34349E+00 0.412 15248 , 1.02 0.14636E-03 4.59406 1.38500 0.30148E+00 0.467 13152 ! 1.32 0.15836E-03 4.22920 1.12600 0.26624E+00 0.525 11387 l 1.63 0.16876E-03 3.94647 0.88500 0.22425E+00 0.586 9948 1.93 0.17940E-03 3.67805 0.61900 0.16830E+00 0.643 8834 2.24 0.19380E-03 3.34600 0.35200 0.10520E+00 0.692 8042 2.54 0.21994E-03 2.84583 0.14300 0.50249E-01 0.743 7336 , l Results for the run (46 ) x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem ) 0.41 0.10828E-03 6.28164 2.64100 0.42043E+00 0.406 18604 1 0.34181E+00 I 0.71 0.13109E-03 5.15199 1.76100 0.456 16188 1.02 0.14704E-03 4.57040 1.38400 0.30282E+00 0.511 14116 1.32 0.15877E-03 4.21709 1.14000 0.27033E+00 0.568 12377 1.63 0.16889E-03 3.94367 0.90500 0.22948E+00 0.626 10965 1.93 0.17919E-03 3.68395 0.63200 0.17156E+00 0.679 9880 2.24 0.19356E-03 3.35118 0.35100 0.10474E+00 0.722 9117 2.54 0.22001E-03 2.84414 0.13500 0.47466E-01 0.767 8428 Results for the run #47 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.12060E-03 5.69165 3.49300 0.61371E+00 0.144 12680 0.71 0.14596E-03 4.67934 2.20900 0.47208E+00 0.200 8898 1.02 0.16398E-03 4.14676 1.59900 0.38560E+00 0.295 5804 1,32 0.17776E-03 3.80362 1.24700 0.32785E+00 0.471 3381 1 63 0.19012E-03 3.52876 0.WB900 0.28027E+00 0.837 1584 1.93 0.20052E-03 3.29922 0.00000 0.00000E+00 1.000 Results for the run #48 x (m) delta (m) hnu (kw/m2 C) hexp (kw /m2C) fdeg Ma Rom 0.41 0.11726E-03 5.84838 3.13400 0.53587E+00 0.210 13941 0.71 0.14260E-03 4.78366 1.98300 0.41454E+00 0.273 10495 1.02 0.16108E-03 4.20920 1.43400 0.34068E+00 0.362 7634 1.32 0.17565E-03 3.83418 1.10000 0.28689E+00 0.490 5339 1.63 0.18807E-03 3.55276 0.89700 0.25248E+00 0.673 3605 1.93 0.20015E-03 3.29987 0.70900 0.21486E+00 0.907 2388 2.24 0.21305E-03 3.04664 0.00000 0.00000E+00 1.000 table la (continued)
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Results for the run #49 x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.11588E-03 5.90880 2.63900 0.44662E+00 0.258 15039 0.71 0.14069E-03 4.84015 1.11100 0.35350E+00 0.318 11900 1.02 0.15896E-03 4.25251 1.23900 0.29136E+00 0.395 9284 1.32 0.17376E-03' 3.86100 0.93000 0.24087E+00 0.492- 7173 1.63 0.18659E-03 3.56193 0.69000 0.19372E+00 0.606 5556 1.93 0.19881E-03 3.30384 0.47200 0.14286E+00 0.724 4430-2.24 0.21259E-03 3.03928 0.23800 0.78308E-01 0.818 3785. ! 2.54 0.23051E-03 2.73779 0.19000 0.69399E-01 0.912 3315 )
. a Results for the run 450 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem l 0.41 0.11703E-03 5.84337 2.42000 0.41414E+00 0.323 15736 i
! 0.71 0.14173E-03 '4.79464 1.60400 0.33454E+00 0.389 12697 l l 1.02 0.15955E-03 4.22894 1.18800 0.28092E+00 0.469 10186 , 1.32 0.17339E-03 3.86526 0.90700 0.23465E+00 0.562 8183 1.63 0.18535E-03 3.58475 0.67100 0.18718E+00 0.661 6680. 1.93 0.1969BE-03 3.33465 0.43000 0.12895E+00 0.751 -5670 i 2.24 0.21097E-03 3.05910 0.16700 0.54591E-01 0.811 5139 2.54 0.23226E-03 2.70252 0.12700 0.46993E-01 0.879 4648 Results for the run #51 delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem x (m)
- 0.41 0.11609E-03 5.88650 2.29100 0.38920E+00 0.373 16728 l 0.71 0.14080E-03 4.82042 1.54600 0.32072E+00 0.440 13784 l 1.02 0.15860E-03 -4.24950 1.16800 0.27486E+00 0.518 11339 1,32 0.17219E-03 3.88953 0.91300 0.23473E+00 0.605 9375 '
1,63 0.18393E-03 3.61165 0.69200 0.19160E+00 0.694 7885 - i 1.93 0.19545E-03 3.36134 0.46000 0.13685E+00 0.773 6862 l 2.24 0.20956E-03 3.08046 0.20200 0.65575E-01 0.827 6292 2.54 0.23201E-03' 2.70132 0.12200 0.45163E-01 0.882 5816 j Results for the run 452 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rom , 0.41 0.11568E-03 5.89397 1.84200 0.31252E+00 0.431 18064 0.71 0.13918E-03 4.85884 1.27300 0.26200E+00 0.491 15479 ) 1.02 0.15622E-03 4.29788 0.98000 0.22802E+00 0.555 13326 1.32 0.16899E-03 3.94888 0.77300 0.19575E+00 0.622 11588 . l 1.63 0.17947E-03 3.69311 0.58000 0.15705E+00 0.685 10257 j 1.93 0.19040E-03 3.44453 0.37300 0.10829E+00 0.738 9326 ; 2.24 0.20465E-03 3.14655 0.16300 0.51803E-01 0.773 8786 j 2.54 0.23056E-03 2.69915 0.09500 0.35196E-01 0.815 8201 l
*1 l
l l I 1 table la (continued)
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o
, - ~,- , ,
. . RESULTS FOR HELIUM Results for the run #1 x (m) delta (m) hnu (kw/m2 C) he xp (kw/m2C) fdeg Ma Rem l
0.41 0.10084E-03 6.66691 2.14800 0.32219E+00 0.036 2699 0.71 0.12005E-03 5.51599 0.87400 0.15845E+00 0.068 1390 I 1.02 0.13526E-03 4.79901 0.36800 0.76683E-01 0.136 656 l 1.32 0.14837E-03 4.27610 0.13000 0.30402E-01 0.251 327 l 1.63 0.15979E-03 3.88304 0.01800 0.46355E-02 0.334 235 ! 2.24 0.17012E-03 3.57999 0.00000 0.00000E+00 0.470 i ! Results for the run #2 l x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem O.41 0.10049E-03 6.66695 1.92000 0.28799E+00 0.079 2823 0.71 0.12040E-03 5.47699 0.94200 0.17199E+00 0.138 1539 1.02 0.13507E-03 4.79910 0.51700 0.10773E+00 0.253 775 1.32 0.14698E-03 4.32995 0.30200 0.69748E-01 0.453 390 1.63 0.15662E-03 3.99418 0.00000 0.00000E+00 0.680 l l Results for the run #3 x (m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.96756E-04 6.90396 1.59700 0.23132E+00 0.112 3098 0.71 0.11645E-03 5.65047 0.87100 0.15415E+00 0.171 1930 1.02 0.13079E-03 4.95418 0.52100 0.10516E+00 0.265 1171 1.32 0.14216E-03 4.48741 0.31600 0.70419E-01 0.398 728 l l 1.63 0.15096E-03 4.16527 0.00000 0.00000E+00 0.542 l Results for the run #4 x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0 41 0.93438E-04 7.13757 1.48900 0.20861E+00 0.155 3359 l 0.71 0.11320E-03 5.80914 0.91500 0.15751E+00 0.221 2252 1.02 0.12802E-03 5.06330 0.62300 0.12304E+00 0.320 1464 1.32 0.13997E-03 4.56426 0.45300 0.99249E-01 0.463 946 1.63 0.14927E-03 4.22157 0.00000 0.00000E+00 0.637 Results for the run #5 x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.11146E-03 6.00318 1.18100 0.19673E+00 0.076 1562 0.71 0.1359BE-03 4.77912 0.64300 0.13454E+00 0.341 294 1.02 0.15059E-03 4.19614 0.00000 0.00000E+00 1.000 Results for the run #6 x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.10809E-03 6.21173 1.55100 0.24969E+00 0.131 1738 0.71 0.12948E-03 5.06673 *s 0.81700 0.16125E+00 0.349 571 1.02 0.14481E-03 4.41027 0.00000 0.00000E+00 1.000 Results for the run #7 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10219E-03 6.54109 1.01900 0.15578E+00 0.151 2389 0.71 0.12378E-03 5.27733 0.49900 0.94555E-01 0.259 1304 1.02 0.13957E-03 4.57586 0.23000 0.50264E-01 0.411 760 1.32 0.15075E-03 4.15290 0.05600 0.13485E-01 0.528 566 1.93 0.16214E-03 3.77373 0.00000 0.00000E+00 0.553 table Ib l
, . . - _ - - ~ . .- - _ - - - _ _ - - - _ _ - _ l' 'Results for the run #8 t x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C). fdeg. Ma Rem O.41 0.97457E-04 6.84793 0.95500 0.13946E+00 0.182 2784 l 0.71 0.11954E-03 , 5.47154 0.58600 0.10710E+00 0.287 1666
- 1.02 0.13568E-03 4.73082 0.36400 0.76942E-01 0.453 977 l 1.32 0.14648E-03 4.30587 0.11700 0.27172E-01 0.602 698 I 1.93 0.15676E-03 3.93798 0.00000 0.00000E+00 0.615 Results for the run #9 ~
- l. x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem f 0.41 0.12165E-03 5.47198 0.84400 0.15424E+00 0.172 719 i 0.71 0.14609E-03 4.37131 0.00000- 0.00000E+00 1.000 ,
! Results for the run #10 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem l
- 0.41 0.11058E-03 6.07302 0.89600 0.14754E+00 0.135 1387 l 0.71 0.13497E-03 4.82310 0.56400 0.11694E+00 0.521 297 1.02 0.14971E-03 4.22263 0.00000 0.00000E+00 1.000 l
i Results for the run #11 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10412E-03 6.46441 0.81900 0.12669E+00 0.155 1873 0.71 0.12534E-03 5.23562 0.36000 0.68760E-03. 0.297 899 1.02 0.14094E-03 4.54220 0.20300 0.44692E-01 0.525 464 1,32 0.15308E 4.09839 0.00000 0.00000E+00 1.000 ' Results for the run #12 , x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.10030E-03 6.76228 4.98800 0.73762E+00 0.028 8140 ' 0.71 0.11977E-03 5.64481 3.07700 0.54510E+00 0.037 6101 1.02 0.13340E-03 5.05241 2.31900 0.45899E+00 0.051 4372 1.32 0.14380E-03 4.67158 1.88300 0.40308E+00 0.074 2949 1.63 0.15294E-03 4.36841 1.50400 0.34429E+00 0.115 1833 1.93 0.16253E-03 4.06881 1.06800 0.26248E+00 0.193 1027 i 2.24 0.17538E-03 3.70256 0.48100 0.12991E+00 0.343 530 l 2.54 0.19449E-03 3.23539 0.10200 0.31526E-01 0.520 322 Results for the run #13 x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.10275E-03 6.59038 4.14900 0.62955E+00 0.057 7734 0.71 0.12245E-03 5.50463 2.65700 0.4826BE+00 0.076 5744 1.02 0.13576E-03 4.94509 1.97600 0.39959E+00 0.103 4147 1.32 0.14583E-03 4.58344 1.53000 0.33381E+00 0.142 2906 1.63 0.15448E-03 4.29855 1.13900 0.26497E+00 0.199 1989 1.93 0.16360E-03 4.01699*: 0.73000 0.18173E+00 0.277 1360 2.24 0.17525E-03 3.68614 0.33800 0.91695E-01 0.367 979 l 2.54 0.19406E-03 3.22687 0.07900 0.24482E-01 0.435 801 i ! Results for the run #14 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.10146E-03 6.67100 3.78200 0.56693E+00 0.073 8090 0.71 0.12172E-03 5.53236 2.50200 0.45225E+00 0.094 6127 1.02 0.13551E-03 4.94971 1.93800 0.39154E+00 0.125 4506 l' 1.32 0.14605E-03 4.57124 1.56100 0.34148E+00 0.169 3224 1.63 0.15483E-03 4.28520 1.17300 0.27373E+00 0.230 2278 1.93 0.16380E-03 4.00966 0.67200 0.16760E+00 0.302 1660 2.24 0.17498E-03 3.68993 0.17500 0.47426E-01 0.359 1355 2.54 0.19175E-03 3.26874 0.0900C 0.27534E-01 0.361 1343 1 1 i table Ib (continued)
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i
'Results for the run #15 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.98738E-04 6.84669 3.10800 0.45394E+00 0.092 9277 O.71 0.118 8 6E 5.65710 2.12400 0.37546E+00 0.112 7478 1.02 0.13248E-03 5.05732 1.68800 0.33377E+00 0.138 5955 1.32 0.14293E-03 4.66922 1.38200 0.29598E+00 0.171 4705
, 1.63 0.15163E-03 4.37848 1.05500 0.2409fr.t00 0.210 3723 ! 1.93 0.16059E-03 4.09759 0.66400 0.16205E+00 0.253 3006 ! 2.24 0.17185E-03 3.76954 0.29800 0.79055E-01 0.292 2546 2.54 0.18981E-03 3.31199 0.05900 0.17814E-01 0.315 2333 Results for the run #16 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.11816E-03 5.76427 3.20200 0.55549E+00 0.041 5556 0.71 0.13881E-03 4.86573 1.58700 0.32616E+00 0.070 3161 1.02 0.15056E-03 4.45758 0.87700 0.19674E+00 0.120 1765 1.32 0.15698E-03 4.25437 0.41500 0.97547E-01 0.186 1091 1.63 0.16095E-03 4.12787 0.08900 0.21561E-01 0.227 869 2.54 0.19269E-03 3.25785 0.00000 0.00000E+00 0.238 825 Results for the run #17 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem l ! 0.41 0.11644E-03 5.84173 2.99300 0.51235E+00 0.094 3976 0.71 0.13810E-03 4.87332 1.50100 0.30800E+00 0.144 3'59 1.02 0.15267E-03 4.35564 0.78000 0.17908E+00 0.212 2438 l 1.32 0.16336E-03 4.01982 0.34200 0.85078E-01 0.281 17t4 1.63 0.17168E-03 3.77846 0.09400 0.24878E-01 0.323 15(3 Results for the run #18 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.11444E-03 5.93126 2.62600 0.44274E+00 0.120 6230 0.71 0.13592E-03 4.93975 1.34800 0.27289E+00 0.173 4177 1.02 0.15016E-03 4.41863 0.71300 0.16136E+00 0.236 2944 1.32 0.16006E-03 4.09961 0.32500 0.79276E-01 0.293 2300 1.63 0.16735E-03 3.88077 0.10800 0.27830E-01 0.326 2029 1.93 0.17375E-03 3.69763 0.04300 0.11629E-01 0.340 1935 Results for the run #19 x(m) delta (m) hnu (kw/m2 C) hexp (kw/m2C) fdeg Ma Rem 0.41 0.11283E-03 6.00401 2.28300 0.38025E+00 0.148 6316 0.71 0.13405E-03 4.99418 1.15200 0.23067E+00 0.202 4457 1.02 0.14793E-03 4.46894 0.58100 0.13001E+00 0.258 3370 1.32 0.15718E-03 4.16034 0.24000 0.57688E-01 0.301 2827 1.63 0.16387E-03 3.95150 3 0.06200 0.15690E-01 0.321 2625 Results for the run #20 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.12603E-03 5.43642 2.90100 0.53362E+00 0.038 4515 0.71 0.15108E-03 4.48081 1.23400 0.27540E+00 0.098 1693 1.02 0.17015E-03 3.90101 1.03600 0.26557E+00 0.476 284 1.32 0.18479E-03 3.50813 0.00000 0.00000E+00 1.000 Results f or the run #21 x (m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.12337E-03 5.54056 2.53500 0.45753E+00 0.080 5180 0.71 0.14785E-03 4.56868 1.24500 0.27251E+00 0.154 2551 1.02 0.16694E-03 3.96822 0.64700 0.16305E+00 0.319 1124 1.32 0.18406E-03 3.51549 0.00000 0.00000E+00 0.611 table Ib (continued)
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Q Results for the run #22 x(m) delta (m) hnu (kw/m2 C) hexp(kw/m2C) fdeg Ma Rem 0.41 0.12002E-03 5.69125 2.35800 0.41432E+00 0,102 5717 0.71 0.14357E 4.70760 1.25200 0.26595E+00 0.172 3233 1.02 0.16145E-03 4.11875 0.67700 0.16437E+00 0.292 1781 1.32 0.17625E-03 3.70109 0.32000 0.86461E-01 0.452 1071 1.63 0.18936E-03 3.37806 0.08500 0.25162E-01 0.569 819 2.24 0.21042E-03 2.94316 0.00000 0.00000E+00 0.728 616 i l l i I I ! l i l I l
's table Ib (continued) l}}