Q4. The temperature distribution in a thin rod of 1 m length can be described by the following unsteady state one-dimensional heat equation; a²T = 0.02 əx² ƏT at with the following initial and boundary conditions: Initial condition: T(x, 0) = 100x for all x at t=0 Boundary conditions: T(0, t > 0) = 50; T(1, t > 0) = 100 Apply the Crank Nicolson Algorithm in EXCEL platform and find the temperature distribution after 1 min. (Data : Ax = 0.2 m and At = 0.5 min) %3D %3D

Q4. The temperature distribution in a thin rod of 1 m length can be described by the following unsteady state one-dimensional heat equation; a²T = 0.02 əx² ƏT at with the following initial and boundary conditions: Initial condition: T(x, 0) = 100x for all x at t=0 Boundary conditions: T(0, t > 0) = 50; T(1, t > 0) = 100 Apply the Crank Nicolson Algorithm in EXCEL platform and find the temperature distribution after 1 min. (Data : Ax = 0.2 m and At = 0.5 min) %3D %3D

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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Question

Q4. The temperature distribution in a thin rod of 1 m length can be described by the
following unsteady state one-dimensional heat equation;
ƏT
= 0.02
at
with the following initial and boundary conditions:
Initial condition:
T(x, 0) = 100x for all x at t=0
Boundary conditions: T(0, t > 0) = 50;
T(1, t > 0) = 100
Apply the Crank Nicolson Algorithm in EXCEL platform and find the temperature
distribution after 1 min. (Data : Ax = 0.2 m and At = 0.5 min)
%3D

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