Heat Transfer - Challenge 1

Excel Calculator to estimate the temperature distribution inside a cylindrical battery pack.

The estimation of the temperature inside a battery cell requires precise information about the cooling condition, even when the battery surface temperature is measured.

Cylindrical Coordinates

This is the temperature distribution:-

By applying Fourier's law, we get the equation,

T1(x) = k1x + k2

For finding the values of k1 and k2, assume soe boundary conditions,

we get,

k1 = Tr - Tc/L , k2 = constant

hence T1(x) = k1x + k2

is similar to y = mx + c.

Energy Balance Equation

Analytical Calculation

Excel Sheet:-

Now, Assume Tright = 300 K, Tleft = 150 K

by using the Excel CFD Calculator,

Conclusion:-

1- Learned the Temperature Distribution and Energy Balance Equation and its Analytical Approach.

2- Also learned a way to estimate the temperature distribution in a cylindrical batteries, by assuming some conditions under 1-D thermal modelling approach for a cylindrical battery cell.

3- Learned a CFD Solver by using Excel Worksheet.