02/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod I.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 7(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.

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Chapter19: Temperature, Thermal Expansion And Gas Laws
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02/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 =
st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times
at 7(0, t) = 100°C and 7(10, t) = 50°C. Note that the rod is aluminum with C = 0.2174 cal/g °C)
and p = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up
to 0.1 s.
Transcribed Image Text:I.C 02/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 = st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times at 7(0, t) = 100°C and 7(10, t) = 50°C. Note that the rod is aluminum with C = 0.2174 cal/g °C) and p = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up to 0.1 s.
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