Project 1 - Simulating a BTMS

Ans-1. Please refer Excel sheet "Heat generation" for volmetric energy source for cell in the made-up BTMS. For this 3 Cases have been considered in excel sheet :

With Temp_right= 25, Temp_left=80, Thermal Conductivity (k)=1, Length=1, Element size=0.1

Case-1) Volumetric Heat Generation of=50

Case-2)  Volumetric Heat Generation of=100

Case-3)  Volumetric Heat Generation of=150

Ans-2. For the steady state simulation, we can consider any material properties because for the steady state problem the equation become as:-

For 2D problem, dT/dx+dT/dy=0 which on using talyor series can be written as Tp= (Tr+Tl+Tt+Tb)/4 which does not contain any reference of material properties but depends up on the temperature value of neighouring cells.

Please refer excel sheet- "2D steady state problem"

Ans-3. For the BTMS simulation, Each cell has considered as seperate solid cell.

Ans-4. 

Sr No.	Element Size	No. of Iteration	Plot
1	12 mm	more than 600
2	8 mm	more than 600
3	6 mm	550 to 600
4	4 mm	Problem does not converge. Due to fine mesh, there may be formation of singularity on the node points which cause to increase average temperature to unrealistic value.

Ans-5. The element size of 6 mm has given better accuracy of 302.35 K volume average of temperature as it converges more earlier than other case.