Q2/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At = 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times C=0.2174 cal/g °C) I.C at 7(0, t)= 100°C and T(10, t) = 50°C. Note that the rod is aluminum with and p = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up to 0.1 s.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter1: Basic Modes Of Heat Transfer
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Problem 1.5P: To determine the thermal conductivity of a structural material, a large 15-cm-thick slab of the...
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Q2/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod
C
with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At =
st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times
C=0.2174 cal/g °C)
at 7(0, t) = 100°C and T(10, t) = 50°C. Note that the rod is aluminum with
and = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up
P
to 0.1 s.
Transcribed Image Text:Q2/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod C with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At = st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times C=0.2174 cal/g °C) at 7(0, t) = 100°C and T(10, t) = 50°C. Note that the rod is aluminum with and = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up P to 0.1 s.
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