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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 73, 2018 - Issue 3
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Original Articles

Numerical simulation for the effect of vaporization intensity in membrane on the performance of PEM fuel cell

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Pages 177-194 | Received 18 Oct 2017, Accepted 20 Dec 2017, Published online: 16 Jan 2018
 

ABSTRACT

The heat and mass transfer characters of proton-exchange membrane (PEM) fuel cell have major impact on the performance of cell system, and suitable moisture content in the membrane is one of the most important enhancing factors of PEM fuel cell systems. In this article, the effect to different vaporization mechanism of water in the membrane is investigated numerically, the results show that the temperature of the fuel cell increases with lessens of the heat transfer coefficient, and the average temperature located in membrane is reduced most significantly by 18.03% compared to no vaporization condition in membrane for cases in which heat transfer coefficient is 50 W/m2 · K. Furthermore, the current density with evaporation in membrane is much lower than take no account of vaporization, especially on the cathode side; meanwhile, the excess percentage of oxygen and water vapor concentration is more significantly different from the condition without vaporization when the fuel cell temperature reaches the boiling point.

Nomenclature

L=

geometric length (m)

H=

geometric height (m)

W=

geometric width (m)

I=

current density (A/m2)

u=

fluid velocity (m/s)

j=

transfer current density (A/m3)

M=

molecular weight (kg/mol)

F=

Faraday constant (96,487 C/mol)

k=

thermal conductivity (W/m · K)

w=

mass fraction (%)

K=

thermal resistance (K/W)

x=

mole fraction (%)

D=

mass diffusivity (m2/s)

T=

temperature (K)

R=

universal gas constant (8.314 mol/K)

C=

molar concentration (mol/m3)

P=

pressure (Pa)

CP=

specific heat capacity (J/kg · K)

Eeq=

equilibrium potential (V)

Greek symbols=
ρ=

density (kg/m3)

ε=

porosity

µ=

dynamic viscosity (kg/m · s)

κ=

permeability (m2)

=

Forchheimer drag option (kg/m4)

σ=

conductivity (S/m)

η=

overpotential (V)

α=

electrical transfer coefficient

τ=

tortuosity

Subscripts and superscripts=
c=

gas channel

m=

mass

GDL=

gas diffusion layer

e=

evaporation

me=

membrane

H2=

hydrogen

O2=

oxygen

H2O=

water

N2=

nitrogen

a=

anode

c=

cathode

s=

solid

pc=

phase change

o=

standard condition

H=

heat source

loc=

location

eff=

effective

ref=

reference

cl=

catalytic electrode

l=

liquid

z=

species index independently of i

i=

species index

Nomenclature

L=

geometric length (m)

H=

geometric height (m)

W=

geometric width (m)

I=

current density (A/m2)

u=

fluid velocity (m/s)

j=

transfer current density (A/m3)

M=

molecular weight (kg/mol)

F=

Faraday constant (96,487 C/mol)

k=

thermal conductivity (W/m · K)

w=

mass fraction (%)

K=

thermal resistance (K/W)

x=

mole fraction (%)

D=

mass diffusivity (m2/s)

T=

temperature (K)

R=

universal gas constant (8.314 mol/K)

C=

molar concentration (mol/m3)

P=

pressure (Pa)

CP=

specific heat capacity (J/kg · K)

Eeq=

equilibrium potential (V)

Greek symbols=
ρ=

density (kg/m3)

ε=

porosity

µ=

dynamic viscosity (kg/m · s)

κ=

permeability (m2)

=

Forchheimer drag option (kg/m4)

σ=

conductivity (S/m)

η=

overpotential (V)

α=

electrical transfer coefficient

τ=

tortuosity

Subscripts and superscripts=
c=

gas channel

m=

mass

GDL=

gas diffusion layer

e=

evaporation

me=

membrane

H2=

hydrogen

O2=

oxygen

H2O=

water

N2=

nitrogen

a=

anode

c=

cathode

s=

solid

pc=

phase change

o=

standard condition

H=

heat source

loc=

location

eff=

effective

ref=

reference

cl=

catalytic electrode

l=

liquid

z=

species index independently of i

i=

species index

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 51676037].

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