02/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod = 2 cm, and At = I.C with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax 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.

02/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod = 2 cm, and At = I.C with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax 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.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.21P

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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.
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A// Use Implicit Method to solve the temperature distribution of a long thin rod with a length of 9 cm and following values: k = 0.49 cal/(s cm °C), Ax = 3 cm, and At = 0.2 s. At t=0 s, the temperature of the rod is 10°C and the boundary conditions are fixed dT (9,t) 1 °C/cm. Note that the rod for alltimes at 7(0,t) = 80°C and derivative condition dx is aluminum with C = 0.2174 cal/g °C) and p = 2.7 g/cm³. Find the temperature values on the inner grid points and the right boundary for t = 0.4 s.
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