Consider the following ODE governing steady, 1D heat conduction. (-k7)= = 0 0...
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Consider the following ODE governing steady, 1D heat conduction. (-k²7)= = 0 0<x< 1; T(x=0) = 0 & T(x = 1) = 50 [15] a)Considering k = 100 - 50x, discretize the ODE with a Ax that would result to a linear system of equations with 5 unknowns and 5 equations. Write down the equations as matrix - vector equation. [20] b)Write a Matlab code to solve the same problem in a) and plot T vs. x. Consider the following ODE governing steady, 1D heat conduction. (-k²7)= = 0 0<x< 1; T(x=0) = 0 & T(x = 1) = 50 [15] a)Considering k = 100 - 50x, discretize the ODE with a Ax that would result to a linear system of equations with 5 unknowns and 5 equations. Write down the equations as matrix - vector equation. [20] b)Write a Matlab code to solve the same problem in a) and plot T vs. x.
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Step1 To discretize the ODE we need to divide the interval 0 1 into smaller intervals with a step si... View the full answer
Related Book For
Fundamentals Of Momentum Heat And Mass Transfer
ISBN: 9781118947463
6th Edition
Authors: James Welty, Gregory L. Rorrer, David G. Foster
Posted Date:
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