1-D, steady-state conduction with uniform internal energy generation occurs in a plane wall with a thickness of 50 mm and a constant thermal conductivity of 5 W/m/K. The temperature distribution has the form T = a + bx + cx2 °C. The surface at x=0 has a temperature of To = 120 °C and experiences convection with a fluid for which To = 20 °C and h = 500 W/m² K. The surface at x= 50 mm is well insulated (no heat transfer). Find: (a) The volumetric energy generation rate q. (b) Determine the coefficients a, b, and c. T= 120°C T= 20°C h = 500 W/m2.K Fluid Lex T(x)- q, k = 5 W/m.K L = 50 mm

1-D, steady-state conduction with uniform internal energy generation occurs in a plane wall with a thickness of 50 mm and a constant thermal conductivity of 5 W/m/K. The temperature distribution has the form T = a + bx + cx2 °C. The surface at x=0 has a temperature of To = 120 °C and experiences convection with a fluid for which To = 20 °C and h = 500 W/m² K. The surface at x= 50 mm is well insulated (no heat transfer). Find: (a) The volumetric energy generation rate q. (b) Determine the coefficients a, b, and c. T= 120°C T= 20°C h = 500 W/m2.K Fluid Lex T(x)- q, k = 5 W/m.K L = 50 mm

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.4P: A plane wall 15 cm thick has a thermal conductivity given by the relation k=2.0+0.0005T[W/mK] where...

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