We want to find heat distribution in a tapered cylinder


We want to find heat distribution in a tapered cylinder of varying cross sectional area using explicit finite volume method. Also i need to find out time required to reach steady state.The cylinder is exposed to temperatures 200 degrees and 100 degrees at left and right hand side respectively. Also temperature of bar is 25 degrees (i am confused if this is internal heat generation or not; if yes then how to implement it in the equation). Also I dont know how to deal with varying cross sectional area. I need to develop a matlab code to find heat distribution. I want code and solution on paper

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