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Hello,

I want to model a thermal battery based on phase change materials (PCM). It is a plate heat exchanger immersed in a PCM bath. The diagram is given in the attached file.

I want to determine the temperature at each moment and from everywhere in the battery. The hypotheses are the following:

- Natural convection neglected (pure conduction),

- No supercooling or superheating,

- incompressible and Newtonian heat transfer fluid,

- Kinetic and potential energy variations are neglected,

- Homogeneous, isotropic and pure body PCM,

- Isothermal phase change,

- Density variation of PCM during the change of state neglected,

- Thermophysical properties independent of temperature (and different for liquid and solid phases).

These assumptions allowed me to obtain the equations visible in the attached file. The MCP parts are modeled in 2D (in x and y) while the heat transfer fluids in 1D (in y).

Do the equations seem correct to you?

Thank you for your answers

I want to model a thermal battery based on phase change materials (PCM). It is a plate heat exchanger immersed in a PCM bath. The diagram is given in the attached file.

I want to determine the temperature at each moment and from everywhere in the battery. The hypotheses are the following:

- Natural convection neglected (pure conduction),

- No supercooling or superheating,

- incompressible and Newtonian heat transfer fluid,

- Kinetic and potential energy variations are neglected,

- Homogeneous, isotropic and pure body PCM,

- Isothermal phase change,

- Density variation of PCM during the change of state neglected,

- Thermophysical properties independent of temperature (and different for liquid and solid phases).

These assumptions allowed me to obtain the equations visible in the attached file. The MCP parts are modeled in 2D (in x and y) while the heat transfer fluids in 1D (in y).

Do the equations seem correct to you?

Thank you for your answers