Finite Difference Numerical Solution for Heat Transfer
Last Post 01 Apr 2015 03:58 PM by Tucker. 0 Replies.
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01 Apr 2015 03:58 PM
    Hey there,

    So I'm solving for a hypothetical situation of thermal runaway in Li-ion batteries. The goal is to find the ideal insulating material to ensure that the functional battery does not get above 100 C. Assume that the failing battery is separated from a non-failing battery by a 2 mm thick insulation, and that the battery is 10 mm thick and 200 mm tall. Due to the construction of the battery, the thermal conductivity is anisotropic: 1 W m-1 K-1 and 26 W m-1 K-1 in the x and y directions, respectively. The volumetric heat capacity of the battery is 2.2 kJ L-1 k-1. The failing cell is represented by imposing a 500°C constant surface temperature on the left side of the insulation, and the battery is attached on the top and bottom to cold plates for cooling. The cold plate is represented by a constant surface temperature of 25°C on the top and bottom surfaces of the battery. You are also to assume that the right side of the battery is thermally insulated, and that there is no thermal contact resistance between the insulation and the battery.

    The idealized picture is attached as Figure.png

    I know that this can be approximated with Ansys and a few other softwares, but I need to solve this using numerical methods.

    So far, I have begun doing a nodal analysis to solve it as a 2D finite difference problem. I've found a few basic code formats for this in EES, and would like to be able to build off of them. I am thinking that it may be wise to run a separate simulation for the insulation and the battery, so that I can plug in conductivity values for the insulation without having to run the entire system.

    If you've seen anything like this before and have some input, it would be great. I'll post updates as I move along in the solution.