Use the Shooting Method to determine the temperature of a coil placed in the x-axis according to the relationship. d²T +h (T, – T)=0 dx? where h' = 0.01, Ta = 20, and both ends of the winding are set at x = 0 and x = 10, and the boundary conditions are T(0) = 40 and T(10) 200. Use the Euler Method that uses a step size equal to 2 to help in the calculation. The default values for the first two calculations are T'(0) = 10 and 20, respectively.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.4DP
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D4.
Use the Shooting Method to determine the temperature of a
coil placed in the x-axis according to the relationship.
d²T
+h (T. –T)=0
dx?
-
a
where h' = 0.01, Ta 20, and both ends of the winding are
set at x = 0 and x = 10, and the boundary conditions are T(0)
= 40 and T(10) = 200. Use the Euler Method that uses a step
size equal to 2 to help in the calculation. The default values for
the first two calculations are T'(0) = 10 and 20, respectively.
Transcribed Image Text:Use the Shooting Method to determine the temperature of a coil placed in the x-axis according to the relationship. d²T +h (T. –T)=0 dx? - a where h' = 0.01, Ta 20, and both ends of the winding are set at x = 0 and x = 10, and the boundary conditions are T(0) = 40 and T(10) = 200. Use the Euler Method that uses a step size equal to 2 to help in the calculation. The default values for the first two calculations are T'(0) = 10 and 20, respectively.
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