Problem 4 • A steel rod of diameter d = 2 cm, length L = 25 cm, and thermal conductivity k =50 W/(m C) is exposed to ambient air T∞ = 20C with a heat-transfer coefficient ẞ= 64 W/(m2 C). Given that the left end of the rod is maintained at a temperature of T₁ = 120C and the other end is exposed to the ambient temperature, determine the temperature distribution in the rod using a two-parameter Ritz approximation with polynomial approximation functions. The equation governing the problem is given by: d20 dx2 +c=0 for 0 < x < 25 cm • Where = T - T∞, T is temperature and C= ВР Ak BπD 48 D²k kD • == 256 m² P being the perimeter and A the cross-sectional area of the rod. The boundary conditions are: de 0(0)=T(0) - T∞ = 100°C, k- + 30 dx ») | = 0 x=L

Problem 4 • A steel rod of diameter d = 2 cm, length L = 25 cm, and thermal conductivity k =50 W/(m C) is exposed to ambient air T∞ = 20C with a heat-transfer coefficient ẞ= 64 W/(m2 C). Given that the left end of the rod is maintained at a temperature of T₁ = 120C and the other end is exposed to the ambient temperature, determine the temperature distribution in the rod using a two-parameter Ritz approximation with polynomial approximation functions. The equation governing the problem is given by: d20 dx2 +c=0 for 0 < x < 25 cm • Where = T - T∞, T is temperature and C= ВР Ak BπD 48 D²k kD • == 256 m² P being the perimeter and A the cross-sectional area of the rod. The boundary conditions are: de 0(0)=T(0) - T∞ = 100°C, k- + 30 dx ») | = 0 x=L

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.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.4P: 1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus...

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