ML17335A154
| ML17335A154 | |
| Person / Time | |
|---|---|
| Site: | Cook  |
| Issue date: | 06/29/1995 |
| From: | Creiglow J INDIANA MICHIGAN POWER CO. (FORMERLY INDIANA & MICHIG |
| To: | |
| Shared Package | |
| ML17335A147 | List: |
| References | |
| NESP032395JJS, NESP032395JJS-R01, NESP32395JJS, NESP32395JJS-R1, NUDOCS 9808100109 | |
| Download: ML17335A154 (59) | |
Text
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NUGAE@~ R ENGINEERING OEPARTj@gNT Calculation Cover Sheet Cook Nuclear Plant SECTION SHEET 1
OF CALCULATION No.
C.SP
~7.
5 MS, INDIANA MICHIGAN POWER COMPANY SAFETY RELATED SYSTEH CucS-TITLE RFC/HH/PM/PR/CR/TH No.
FILE LOCATION C.
C'ALCULATION DESCRIPTION:
oÃa x o.
X4 a,
S YES ~
NO UNIT No.
CALCULATED BY: 3~
K. Crci ha Lcm'.<
VERIFIED BY:
APPROVED BY:
oretc r
sc DATE DATE dr~ Fs DATE D OF VERIFICATION:
ALTERNATE CALCULATION v
DESIGN REVIEW REVISION NO.
REASON FOR CHANGE VS ~c. Vroko-Who
+a c +
m ~
e
~C.mr~
CJOY Calculated 8
Oate
(./z Ver)fled 8
Oate Approved 8
Date
>z~/(~i 9808%00'f09 9808iT PDR AnaCX 0S00OSXS PDR
7
~,,r NE&15 (oz/9s)
DONALD C.
COOK NUCLEAR PLANT Section DESIGN VERIFICATION CHECKLIST - CALCULATIONS Calculation Number AC P 4>~~RS MS Signature of Verifier Date 1.0 Were the inputs correctly selected, incorporated and documented into the calculation?
Yes ~ N/A Basis
~ M>vw~ ~~c t-awe Pmcrvna~ ~~a~ +~e ~~ 'so~t-~tc.tc wco +
Qv~ P CvcLAcx'-
Qa ~vcc.
W~c~.
A ~c ~\\ tc Ww~ok 2.0 Are assumptions necessary to perform the calculation adequately described and reasonable?
Yes ~
N/A Basis:
i~~~ ~c
.o~s.
Gts~~~
a~~
~wc ~~~K<~
s e'-
4 P~m~'MACC
%Caccia%'
aL wc'+wAMcou
3.0 Basis
Are the app'iicable requirements met?
Wa ~e As
- codes, standards and regulatory identified and requirements for design Yes N/A~
S~l4&AC W~m C
Ct
~KCsOC M~CC tXw5.
MLc v~mac 4.0 Was an appropriate design method used?
Yes v
N/A Basis:
~~ ~~~~
m~ v PCZWWS M~
Ww~As 0'.0 Is the output reasonable compared to input?
Yes ~
N/A Ba s 1 s:
U~~
~vatic.eu ca~ wc-
~'v~~ ~~~
~~cc- ~ 40 Cc t~a Cu14C~atd g
St
%@AC 6.0 Are the results numerically correct?
Basis: ~~~
Q~C.cc~p'tD&
c o~v~~~~
Yes ~
N/A Qc.VW~ut C4 WW~t ~tK Page 1 of 1
1 V
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11:32 Re.g.
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c 4 PROTP~LO201by PROTO-POWER COrgpRATION Utility-D:VROTOFLOUIM.PDB-Version Plant - System Combined Summary Report Convergence:
Pressure=1.0E-S Sum Q"-1.0E-2 Friction=1.0'CV=1.0'CV=1.0'emperature=5.0'age 1
Pipe:
1.00 ID =
2.067 Flow =
75.00 Vel = ?.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1'ODE1
- Press=
14.84 Elev= 589.43
.- Flow= 0.00 Temp=
180.00 N2: NODE2 Press=
12.98 Elev= 588 53~low= 0.00 Temp=
180.00 x Z
~ >'tWW 4; ~ ~ W~O Pipe: 2.00 ID =
2.067 Flow=
75.00
+Vel = 7.172 Turbulent f= 0.0200 Reynold's Number = 3.2281240 N1: NODE2 Press=
12.98 Elev= 588.53 Flow=-0:00 Temp=
180.00 N2'ODE3 Press=
11.52 Elev= 588.53m Flow= 0.00 Temp=
180.00 w.'59W (= >
~ 4-W %+
'L Pipe: 3.00 ID =
2.067 Flow=
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE3 Press=
11.52 Elev= 588.53 Flow= 0.00 Temp=
180.00 N2: NODE4 Y
W ~ %+~
Pipe: 4.00 ID =
2.067 Flow=
75.00 NPSHA =5:97--NPSHR = 5.90 N1: NODE4 Press=
10.14 Elev= 588.53 Flow= 0.00 Temp=
180.00 N2: NODE5 Press=
110.67 Elev= 588.53 Flow= 0.00 Temp=
180.00 Pipe:
5.00 ID =
2.067 Flow =
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE5 Press=
110.67 Elev= 588.53 Flow= 0.00 N2: NODE6 Press=
110.28 Elev= 588.53 Flow= 0.00 Temp=
180.00 Temp=
180.00 Pipe:
10.00 ID =
2.067 Flow=
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE6 Press=
110.28 Elev= 588.53 Flow= 0.00 N2: NODE6.5 Press=
33.70 Elev= 592.50 Flow= 0.00 Temp=
180.00 Temp=
180.00 P~~
4@~4~
" Fixed Pressure
%% Pressure Below Vapor Pressure
¹¹ NPSHA lass than NPSHR II Reverse Flow Thru Check Valve
++ Section Was Balanced M Flow Past End of Pump Curve
l L I
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I
CALC. NO.
- NESP032395JJS REV.
1 SHEET: ~ OF lR DATE: 6/2/95 COMPANY: I&M PLANT: DCCNP
SUBJECT:
BAT PUMP NPSHR vs BAST LEVEL DESCRIPTION Model the boric acid tank to the boric acid transfer pump using proto-flo, placing a valve at the end of the model to throttle the pump to 75 GPM.
Then changing the atmospheric pressure at the base of the tank until the NSPH available is as close as possible to the NPSH required.
This will give the lowest pressure at the base of the tank before the pumps can no longer be supplied with the boric acid solution to maintain 75 GPM out of the transfer pumps.
The pressure then can be converted to show the lowest level required to the pumps and have a
75 GPM out put.
PURPOSE The result of the calculation will be used in the development of H HEW Severe Accident Management Guidelines.
In the event that an accident progresses to core
- melt, where emergency operating procedures are no longer valid, these guidelines would be used.
ASSUMPTION
& LIMITATIONS 1)
BORIC ACID SOLUTION TEMPERATURE = 180 F
2)
BORIC ACID SOLUTION HAS SAME VAPOR PRESSURE AS WATER(=,)
3)
BORIC ACID SPECIFIC GRAVITY EQUAL TO WATER 4)
TANK AT ATMOSPHERIC PRESSURE 5)
BORIC ACID TRANSFER PUMP OPERATING AT 75 GPM RESULTS 1)
NSPH required to supply 75 GPM = 5.90 ft.
- 2) Pressure at the bottom of tank is 14.84 psia, when converted to a tank level it equals.3328'r
=3 15/16" from the bottom of the tank.
CONCLUSIONS The minimum'AST tank level that is acceptable to operate the BAT pumps while still having adequate NPSH and supplying 75 GPM is 3 15/16" of boric acid solution f m the bottom of the tank.
4 I
0 4
CALC. NO.
- NESP032395JJS REV.
1 SHEET 3
OF DATE: 6/2/95 COMPANY: IBM PLANT:
DCCNP
SUBJECT:
BAT PUMP NPSHR vs BAST LEVEL REFERENCES 1)
CAMERON HYDRAULIC DATA: PROPERTIES OF WATER AT VARIOUS TEMP.
(CONVERSXON FACTOR FT/LB/IN"2) 2)
AEPSC ISOMETRIC DWG. O-CS-539L1.4 3)
AEPSC VALVE DWG W-200D42ZGO FOR 2" DIAPHRAGM VALVE 4)
AEPSC FLOW DIAGRAM ED 12-5131 5)
PUMP CURVE FOR PP-46 6)
PROTO-FLO SOFTWARE FOR WINDOWS VERSION 2.01 (DATE AND TIME OF RUNS SHOWN ON OUT PUT DATA SHEETS) 7)
IBM PERSONAL SYSTEM/2 MODEL 77 486DX2 COMPUTER WITH OS2 SYSTEM (PROTO-FLO OPERATES UNDER"OS2 WINDOWS APPLXCATION)
SKETCH NX%1 ELEV. 38$.423'ABLE
'i SO a.S Qa 3aas 3.3.
SS -re QS 2-Oi~ Vmve gCV Vgg 0 l4%4~
3,300 f&N 3'-W V1S-SMY. 3$
8.33'~
0 10 V2" HOOCS 0
1 PPAS 1
CLCV SS1 ~ '3
'COCS, S
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Page 1
Pi e
FromNode 1.00 NODE1 2.00 NODE2 3.00 NODE3 5.00 NODE5 10.00 NODE6 To Node NODE2 NODE3 NODE4 NODE6 NODE6.5 ID (Inches 2.067 2.067 2.067 2.067 2.067 Flow DZ Velocity Reynolds Pressure Drop Hydraulic Resistance f//g m"2
~si/g m"2 75.00 1.85 7.172 3.2281 E+05 5.314 2.235 9.4470 E-04 3.9739E-04 75.00 1A6 7.172 3.2281E+05 3.476 1.462 6.1800E-04 2.5996E-04 75.00 1.38 7.172 3.2281E+05 3.290 1.384 5.8494 E-04 2.4606E-04 75.00 0.38 7.172 3.2281 E+05 0.926 0.389 1.6470 E-04 6.9281 E-O 75.00 76.58 7.172 3.2281 E+05 178.083 74.911 3.1657 E-02 1.3317E-02
06-02-1 995 11:32 Ca)~ t4~: gFSPO>7'BR'~~~
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R<<. 5 5hech 5
oW hl PROTO-kO 2.01 by PROTO-POWER CORP@RATION Page 1
Utility-D:PROTOFLOUIM.PDB - Version Plant - System Pump Status Report Manufacturer NPSH Required:
5.90 Pump Name:
1-PP-46-1 Drawings:
Pump Status:
BAST Speed (RPM):
3,500 Flow (gpm):
75.00 Head (ft):
239.00 Hydraulic Horsepower:
4.40 Pump Impeller Elevation (ft):
Inlet Node Elevation (ft): 588.53 Pump Suction Temperature ('F) 180.00 NPSH Curve:
BAST NPSH NPSH Available:
5.97 Pump Name Manufacturer Model:
Head (ft):
Inlet Node Elevation (ft): 588.53 NPSH Required:
1-PP-46-2 Drawings:
Pump Status:
OFF Speed (RPM):
3,500 Flow (gpm):
Hydraulic Horsepower:
Pump Impeller Elevation (ft):
Pump Suction Temperature ('F)
NPSH Curve:
BAST NPSH NPSH Available:
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RATION Page1 Utility-D:PROTOFLOUIM.PDB - Version Plant-System Boundary Condition Report Node Name NODE1 Bounda T
e Pressure Suction 8ounda Parameters Pressure Elevation S ecifiedTem erature 14.84 psia 589.43 tt 180.00 'F NODE10 NODE6.5 Pressure Discharge Pressure Elevation S ecifiedTem erature Pressure Discharge Pressure Elevation Specified Temperature 33.70 psia 592.50 ft 180.00 'F 33.70 psia 592.50 tt 180.00 'F
4 r
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. Wt=SPO>7=$ 854~&
~~,;, hec.+
l c V 06-02-1995 11:32 PROT'O 2.01 by PROTO-POWER CO~~RATION Page 1
Utility-D:<PROTOFLOUIM.PDB - Version Plant - System Combined Summary Report Convergence: Pressure=1.0E-S Sum Q=1.0E-2 Friction=1.0E4 FCV=1.0'CV=1.0E-3 Temperature=5.0'ipe:
1.00 ID =
2.067 Flow =
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE1 Press=
14.84 Elev= 589.43 Flow= 0.00 N2'ODE2 Press=
12.98 Elev= 588.53 Flow= 0.00 Temp=
180.00 Temp=
180.00 Pipe: 2.00 ID =
2.067 Flow=
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE2 Press=
12.98 Elev.= 588.53 Flow= 0.00 N2: NODE3 Press=
11.52 Elev= 588.53 Flow= 0.00 Temp=
180.00 Temp=
180.00 Pipe: 3.00 ID =
2.067 Flow=
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE3 Press=
11.52 Elev= 588.53 Flow= 0.00 N2: NODE4 Press=
10.14 Elev= 588.53 Flow=.0.00 Temp=
180'.00 Temp=
180.00 Pipe: 4.00 ID =
2.067 N1'ODE4 N2: NODE5 Flow =
75.00 NPSHA =5.97 NPSHR = 5.90 Press=
10.14 Elev= 588.53 Flow= 0.00 Temp=
180.00 Press=
110.67 Elev= 588.53 Flow= 0.00
.Temp=
180.00 Pipe:
5.00 ID =
2.067 Flow=
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE5 Press=
110.67 Elev= 588.53 Flow= 0.00 N2: NODE6 Press=
110.28 Elev= 588.53 Flow= 0.00 Temp=
180.00 Temp=
180.00 Pipe:
10.00 ID =
2.067 Flow =
75.00 Vel = 7.172 Turbulent f = 0.0200 Reynold's Number = 3.2281E+05 N1: NODE6 Press=
110.28 Elev= 588.53 Flow= 0.00 N2: NODE6.5
- Press=
33.70 Elev= 592.50 Flow= 0.00 Temp=
180.00 Temp=
180.00
- Fixed Pressure
%% Pressure Below Vapor Pressure
¹0 NPSHA less than NPSHR II Reverse Flow Thru Check Valve
++ Section Was Balanced
&&Flow Past End of Pump Curve
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I' PROTERO 2.01 by PROTO-POWER COk~%RATION Pipe 1.00 Utility-D:PROTOFLOUIM.PDB - Version Plant-System System Pipe Section Data Sheet From:
NODE1 Elev:
589.43 To: NODE2 Elev:
588.53
==
Description:==
Drawings:
Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40 - Inside Diameter:
2.067 Length:
16.58 Misc L/D:
Valves: 1-CS437N I I Misc K Fixed:
Pipe Flow Summary
Title:
Tees:
1 Run; Branch Only; Branch Elbows: Welded -,
2 90s, 45s; Threaded-
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
,rid=
,rid=
Abrupt Reductions from d =
Abrupt Expansions to d =
Pc tt I
6/2/95 11:36:05 AM C
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NODE2 Elev:
588.53 To: NODE3 Elev:
588.53
==
Description:==
Drawings:
Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40- Inside Diameter:
2.067 Length:
4.00 Misc L/D:
Valves: 1-CS410/
I Misc K Fixed:
Pipe Flow Summary
Title:
Run; Tees:
Elbows: Welded-
- 90s, 1 Branch Only; 45s; Threaded-Branch
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
,rid=
, r/d =
Abrupt Reductions from d =
Abrupt Expansions to d =
e>
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6/2/90 11:36:05 AM C
'Rc.w. X 4c~W 50 oV PROTMLO 2.01 by PROTO-POWER COi'-~%)RATION Pipe 3.00 Utility-D:PROTOFLOUIM.PDB - Version Plant - System System Pipe Section Data Sheet From:
NODE3 Elev:
588.53 To'ODE4 Elev:
588.53
==
Description:==
Drawings:
Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40 - Inside Diameter:
2.067 Length:
3.63 Misc L/D:
Valves: 1-CS412-1 / I Misc K Fixed:
Pipe Flow Summary
Title:
Tees:
1 Run; Elbows: Welded-
- 90s, Branch Only; 45s; Threaded-Branch
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
,rid =
,r/d=
Abrupt Reductions from d =
Abrupt Expansions to d =
P I
1
6/2/95 11:36:05 AM J
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~C PROTMLO 2.01 by PROTO-POWER CORFtlRATION Pipe 4.00 Utility-D:PROTOFLOUIM.PDB - Version Plant - System System Pipe Section Data Sheet From:
NODE4
==
Description:==
Drawings:
Elev:
588.53 To'ODE5 Fluid: Fresh Water Elev:
588.53 Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40- inside Diameter:
2.067 Length:
0.00 Misc L/D:
Misc K Fixed:
Pump: 1-PP46-1 Pipe Flow Summary
Title:
Tees:
Elbows: Welded-Run;
- 90s, Branch Only; 45s; Threaded-Branch
- 90s, Bends:
Entrances:
Exits:
with angle =
with angle =
, r/d=
, r/d =
Abrupt Reductions from d =
Abrupt Expansions to d =
II l
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6/2/95 11:36:05 AM ac.~. 4~ >Z,oV PROTS~~LO 2.01 by PROTO-POWER COP'O'ORATION Utility-D:PROTOFLOUIM.PDB - Version Plant - System System Pipe Section Data Sheet h
Pipe 5.00 From:
NODE5
==
Description:==
Drawings:
Elev:
588.53 To: NODE6 Fluid: Fresh Water Elev:
588.53 Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40 - Inside Diameter:
2.067 Length:
10.00 Misc L/D:
Misc K Fixed:
Pipe Flow Summary
Title:
Tees:
Elbows: Welded-Run;
- 90s, Branch Only; 45s; Threaded-Branch
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
, r/d=
, r/d =
Abrupt Reductions from d =
Abrupt Expansions to d =
\\
6/2/95 11:36:05 AM
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NODE2 Elev:
588.53 To: NODE7 Elev:
588.53
==
Description:==
Drawings:
Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40- Inside Diameter:
2.067 Length:
3.63 Misc L/D:
Valves: 1-CS412-2/
/
l Misc K Fixed:
Pipe Flow Summary
Title:
Tees:
1 Run; Branch Only; 1 Branch Elbows: Welded-
- 90s, 45s; Threaded-
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
, r/d =
, r/d =
Abrupt Reductions from d =
Abrupt Expansions to d =
1
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~~'ic cVh R.c.<. 5 PROT LO 2.01 by PROTO-POWER CO RATION Pipe 7.00 Utility-D:PROTOFLOUIM.PDB - Version Plant - System System Pipe Section Data Sheet From:
NODE7 Elev:
588.53 To: NODE8 Elev:
588.53
==
Description:==
Drawings:
Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40 - inside Diameter:
2.067 Length:
0.00 Misc L/D:
Misc K Fixed:
Pump:
1-PP-46-2 Pipe Flow Summary
Title:
Run; Tees:
Elbows: Welded-
- 90s, Branch Only; 45s; Threaded-Branch
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
, r/d =
, r/d =
Abrupt Reductions from d =
Abrupt Expansions to d =
6/2/95 11:36:05 AM PROTKCLO 2.01 by PROTO-POWER CO%5RATION Utility-D:>PROTOFLOUIM.PDB - Version Plant - System System Pipe Section'Data Sheet Pipe 8.00 From:
NODE8
==
Description:==
Drawings:
Elev:
588.53 To: NODE9 Fluid: Fresh Water Elev:
588.53 Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40 - Inside Diameter:
2.067 Length:
20.00 Misc L/D:
Misc K Fixed:
Pipe Flow Summary
Title:
Tees:
Run; Branch Only; Branch Elbows: Welded-
- 90s, 45s; Threaded-
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
,r/d =
, r/d=
Abrupt Reductions from d =
Abrupt Expansions to d =
I
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NODE9
==
Description:==
Drawings:
Elev:
588.53 "To: NODE10 Elev:
592.50 Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40-Inside Diameter:
2.067 Length:
10.00 Misc L/D:
Valves: test-1/
/
Misc K Fixed:
Pipe Flow Summary
Title:
Tees:
Elbows: Welded-Run;
- 90s, Branch Only; 45s; Threaded-Branch
- 90s, 45s Bends; Entrances:
Exits:
with angle =
with angle =
, r/d =
, r/d=
Abrupt Reductions from d =
Abrupt Expansions to d =
P 6/2/95 11:36:05 AM I
Xc 14'". HeSY Q5Z,59> Dhh.
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NODE6 Elev:
588.53 To: NODE6.5 Elev:
592.50
==
Description:==
Drawings:
Fluid: Fresh Water Material Roughness:
0.000150 Carbon Steel 2.000 inch Schedule: STD 40 - Inside Diameter:
2.067 Length:
10.00 Misc L/D:
Valves: test-1/
I Misc K Fixed:
Pipe Flow Summary
Title:
Run; Tees:
Elbows: Welded-
- 90s, Branch Only; 45s; Threaded-Branch
- 90s, 45s Bends:
Entrances:
Exits:
with angle =
with angle =
, r/d =
, r/d =
Abrupt Reductions from d =
Abrupt Expansions to 'd =
.E.D.
RECORD COVER SHEET
'COOK NUGAE.EPR Pf.AFJ NEO RECORD-NEO COPY SECTION ENGINEER ET O TE PLAN LIFET!V(E DATETO PlAM5 Cl NON PERMANENT MlwlMUR5RET 5TlO!4 YRS C~CUIJ tILIO+[ g g~~g~K8 3++~+M pgL.r:.CV'.C SUBJECT TQ:
N.E.P.
6.4 (CALCULATIONS)
N.E,P, 17.0 l.'RECORD RETENTION)
N.E.P.
17,2 (HICROFILHING)
l 4
I ~
~
~
-1 o
NE-015 (02/95)
DONALD C.
COOK NUCLEAR PLANT Section DESIGN VERIFICATION CHECKLIST CALCULATIONS Calcula n
Number <~~v-~we awaits Rev.
c Signature of Verifier 1.0 Were the inputs correctly selected, incorporated and documented into the calculation?
Basis:
MF ~ ufI~~ ~>3 ~
C4-/c~ /+Pe A'PJ H Date Mal cs cOcw I%4 J4 J ~/ Qe~
hlC.qr c,~M 2.0 Are assumptions necessary to perform the calculation adequately described and reasonable?
Yes N/A Basis:
//
~cue.'
c /C c 2
~~gJ r Wnlg&
4.&NJ
//->>-Wi~
S?
3.0 Are the applicable
- codes, standards and regulatory requirements identified and requirements for design met?
Basis:
Af~
a~
Yes N/A 4.0 Was an appropriate design method used?
Basis: +l krJ
&PS'A' nJc
~+<~>~
Yes ~ N/A 5.0 Is the output reasonable compared to input?
Basis:
'3 -'/
A M
>~
-+
~ ~
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