Recent content by DianeLR

Thank you for the correction. I will look into the method of characteristics to apply it to my problem. The PDE are written in the figure below.

Should the convection term be positive even if element 2 (at T2) is to the right of the fluid (element 1 to the left)? I didn't know about the characteristics method... So it's easier for me to use the finite element method.

Hello, I want to model the thermal behaviour of a moving heat transfer fluid in 1D, with convective exchanges with the walls. I have obtained the following equation (1 on the figure). I have performed a second order spatial discretization with decentred schemes at the extremities (y = 0 and H)...

Thank you for your response. I will check for the integration in terms of enthalpy.

I think I am making a mistake with equation (4). The hot heat transfer fluid is against the flow of the cold. Shouldn't there be a minus sign before $$m c_p$$ (on the left of the equality)?

It's correct what you said. For the enthalpie, I used that equation to determine the equation inside the PCM (see picture) And thanks for the equations (3) and (4). It will be easier to solve with one less term

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...