Heat Transfer - Challenge 1

EXCEL CALCULATOR TO ESTIMATES THE TEMPERATURE DISTRIBUTION INSIDE A CYCLINDRICAL BATTERY PACK

The estimation of the temperature inside a battery pack requires accurate and precise information about the cooling condition and various parameters when the battery surface temperature is measured.

CYCLINDRICAL COORDINATES:

By using Fourier's law, the heat is directly proportional with respect to time so the heat rate changes.

T1 (X) = K1X + K2

Y = mx + c

K1 = Tr - Tc / l

ENERGY BALANCE EQUATION

Assue steady and no generation, 1D laplace's eqution

d^2T/dx^2 = 0, T(x), function of x coordinate alone

Note: Ordinary differential operator is used since T=T(x) only

The general solution of this equation can be determined by integting twice:

First integration leads to dT/dx= constant t=C1.

Integrate again T(x)= C1x + C2

Second order differential equation: need two boundry conditions to determine the constant C1 and C2.

ANALYTICAL CALCULATION

By using govering equation we can calculate,

Tr + Tl + Tt + Tb / 4

where,

Tr- right

Tl- left

Tt- top

Tb- bottom

Assume Tr=500K , Tl=500K , Tt=500K , Tb= 500K

by using EXCEL CFD CALCULATOR;

CONCLUSION

1. We have learn a method to estimate the temperature distribution in cyclindrical batteries under unkonwn cooling conditions is proposed. For a radially distributed 1D thermal modelling approach for a cyclindrical battery pack is consindered.
2. Different part of battery pack.
3. We also learn the CFD Solver by using using Excel Worksheet.
4. We also learn the advantages and disadvantages of the Analytical Approach.
5. We Learned Temperature Distribution and Energy Balance Equation and its Analytical Approach