A metal rod of length 0.1 m as shown in Figure 1 that is initially at 70°C,that is the temperatures of all he nodes inside the rod when time is zero. The steady-state temperature at the left and right ends of he rod is given by 50°C and 20°C, respectively. Use the implicit method to find the temperature distribution in the rod from t = 0 to t = 10 seconds. Use the Ax = 0.01 m, k = 54W/m-K, = 7800kg/m3 and C = 490 J/kg-K. Determine value of and to solve the temperature distribution for the time as i) and i). Then, solve using direct method and Gauss-Seidel method. Compare the error between the exact solution and iterative method. At = 1 s ) At = 2 s

A metal rod of length 0.1 m as shown in Figure 1 that is initially at 70°C,that is the temperatures of all he nodes inside the rod when time is zero. The steady-state temperature at the left and right ends of he rod is given by 50°C and 20°C, respectively. Use the implicit method to find the temperature distribution in the rod from t = 0 to t = 10 seconds. Use the Ax = 0.01 m, k = 54W/m-K, = 7800kg/m3 and C = 490 J/kg-K. Determine value of and to solve the temperature distribution for the time as i) and i). Then, solve using direct method and Gauss-Seidel method. Compare the error between the exact solution and iterative method. At = 1 s ) At = 2 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.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.35P

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