SO

L

Vac

uu

m V

esse

l

FS

Sh

ield

Ga p

Thickness(cm)

FW

Gap

+ T

h. I

nsu

lato

r

Win

din

g P

ack

Pla

sma

4.8 2 ≥ 231 312.228

≥ 149 cm| |C

oil C

ase

& I

nsu

lato

r

Bla

nk

et(L

iPb

/FS

/He)

47

Bac

k W

all

9 1G

ap

Ext

ern

al S

tru

ctu

re

18

ARIES-CS LOCA Thermal AnalysisCarl Martin and Jake Blanchard

University of Wisconsin

LiPb/FS/He Radial Build(Water Cooled Internal VV)

Permutations

• Questions:– Which coolants are lost?– Which are present, but static?– Which are flowing naturally?– Which still have forced flow?

– Does plasma stay on?

FE Model and Boundary Conditions for Thermal Analysis

Blanket Shield Vacuum Vessel

First WallTinit = 500 C

LiPBTinit = 625 C

Back WallTinit = 450 C

ShieldTinit = 450 C

Vacuum VesselTinit = 100 C

Gap

Gap

Rad

ius

= 2

.0 m

• Adiabatic boundary at back of vacuum vessel

• Model is axisymmetric about plasma centerline and symmetric on sides

• Assumed there is no helium or water in channels

Ferretic Steel Boronated Ferretic Steel LiPb

Transient Temperature Response Without Heat Removal

Seven Day Response Thirty Day Response

Note that LiPb afterheat is underestimated!

Transient Temperatures Without Heat Removal

After 1 Hour

After 1 Day

Note that LiPb afterheat is underestimated!

Transient Temperatures Without Heat Removal

After 1 Week

After 1 Month

Analysis with Natural Convection to Water in Vacuum Vessel

Blanket Shield Vacuum Vessel

First WallTinit = 500 C

LiPBTinit = 625 C

Back WallTinit = 450 C

ShieldTinit = 450 C

Vacuum VesselTinit = 100 C

Gap

Gap

Rad

ius

= 2

.0 m

• Natural convection to water in vacuum vessel included in model

• Heat transfer coefficient of 500 W/m2-C to 100 C water assumed

• Emissivity of 0.1 assumed in vacuum gaps

Ferretic Steel Boronated Ferretic Steel LiPb

wat

e r

wa t

e r

wa t

e r

Transient Temperature Response with Natural Convection in Vacuum Vessel

Seven Day Response

Note that LiPb afterheat is underestimated!

Side By Side Comparison

Without VV Cooling With VV Cooling

Note that LiPb afterheat is underestimated!

Sensitivity of Maximum Temperature to Gap Surface Emissivity

1000

1050

1100

1150

1200

1250

1300

1350

0 0.1 0.2 0.3 0.4 0.5 0.6

Gap emissivity

Ma

xim

um

Te

mp

era

ture

(C

)

Repeat without LiPB in Channels

Blanket Shield Vacuum Vessel

First WallTinit = 500 C

Back WallTinit = 450 C

ShieldTinit = 450 C

Vacuum VesselTinit = 100 C

Gap

Gap

Rad

ius

= 2

.0 m

Ferritic Steel Boronated Ferritic Steel

SiC liner

Transient Temperature Response Without Heat Removal

SiC liner

Analysis with Natural Convection to Water in Vacuum Vessel

Blanket Shield Vacuum Vessel

First WallTinit = 500 C

Back WallTinit = 450 C

ShieldTinit = 450 C

Vacuum VesselTinit = 100 C

Gap

Gap

Rad

ius

= 2

.0 m

• Natural convection to water in vacuum vessel included in model

• Heat transfer coefficient of 500 W/m2-C to 100 C water assumed

• Emissivity of 0.1 assumed in vacuum gaps and channel passages

Ferritic Steel Boronated Ferritic Steel

wat

e r

wa t

e r

wa t

e r

Transient Temperature Response with Natural Convection in Vacuum Vessel

Sensitivity of Maximum Temperature to Surface Emissivity

600

650

700

750

800

850

900

950

1000

0 0.1 0.2 0.3 0.4 0.5 0.6

Gap emissivity

Ma

xim

um

Te

mp

era

ture

(C

)