Page 162 - Introduction to Transfer Phenomena in PEM Fuel Cells

The equations for interfacial temperatures are summarized in Table 4.4.
Interfaces Temperature Heat Transfer Phenomena 151
=
x0 T
C
T +
=
xL T GDL,C = ( C ( ( R GDL R BP ) T⋅ BP,C )) ( ( R GDL R BP ) ) 1+
1
T +
=
xL T BP,C = ( C ( air ⋅ R ⋅ T air )) ( ( h air ⋅ R 2 ) ) 1+
h
2
2
T +
⋅
=
h
xL T BP,A = ( C ( air ⋅ R T air )) ( ( h air ⋅ R 1 ) ) 1+
1
3
=
xL T GDL,A = ( air ⋅ R BP ⋅ ( BP,A − T air )) T+ BP,A
h
T
4
⋅
=
xL T = ( ( R GDL R BP ) ( GDL,A − T BP,A )) T+ GDL,A
T
A
5
=
T +
xL T = ( C ( ( R m R A ) T⋅ A )) ( ( R m R A ) ) 1+
m
6
=
xL T
7
C
Table 4.4. Summary of interfacial temperatures
Equations that give the temperature profile for each cell element are
shown in Table 4.5.
Distances Temperature distribution
0 → L Tx   ( GDL,C − T c ) e GDL ) x⋅   + T
() ( T=
c
1
L → L Tx   ( BP,C − T GDL,C ) e BP ) x⋅   + T GDL,C
() ( T=
1
2
L → L Tx   ( m − T c ) e m ) x ⋅  + T
() ( T=
c
6
7
L → L Tx =   ( A T M ) e A ) x ⋅  + T
() ( T −
5
m
6
L → L Tx   ( GDL,A − T A ) e GDL ) x⋅   + T
() ( T=
A
4
5
L → L Tx   ( BP,A − T GDL,A ) e BP ) x⋅   + T GDL,A
() ( T=
3
4
Table 4.5. Summary of the equations giving the temperature profiles