2. Consider a rod of length 6 m, uninsulated along the length but in steady state. Suppose the air temperature is Ta = 20, the heat transfer coefficient h' = 0.02 and the boundary conditions are 7(0) = 10 and 7(6) = 70 so that the temperature is given by d²T dx² +0.02 (20-T(x)) = 0; T(0) = 10, T(6)= 70 Using a step-size of h = 2, and the shooting method to approximate T(x) for x = 2 and 4 m.
2. Consider a rod of length 6 m, uninsulated along the length but in steady state. Suppose the air temperature is Ta = 20, the heat transfer coefficient h' = 0.02 and the boundary conditions are 7(0) = 10 and 7(6) = 70 so that the temperature is given by d²T dx² +0.02 (20-T(x)) = 0; T(0) = 10, T(6)= 70 Using a step-size of h = 2, and the shooting method to approximate T(x) for x = 2 and 4 m.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Consider a rod of length 6 m, uninsulated along the length but in steady state. Suppose
the air temperature is Ta = 20, the heat transfer coefficient h' = 0.02 and the boundary
conditions are T(0) = 10 and T(6) = 70 so that the temperature is given by
d²T
dx²
+0.02(20-T(x)) = = 0; T(0) = 10,
Using a step-size of h = 2, and the shooting method to approximate T(x) for x = 2 and 4
m.
T(6) 70
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