The volumetric heat generation in a hollow aluminum sphere of inner and outer radii of 20 cm and 50 cm, respectively, is given by R = 4.5 x 104 (1 + 0.6r²) in which R is in W/m³ and r is the radial coordinate measured in meters. The inner surface of the sphere is subjected to a uniform heat flux of 15,000 W/m², while heat is dissipated by convection to an ambient air at 25 °C through the outer surface with an average heat transfer coefficient of 150 W/(m².K). Determine the temperature of the outer surface under steady conditions. (92.3 °C)

The volumetric heat generation in a hollow aluminum sphere of inner and outer radii of 20 cm and 50 cm, respectively, is given by R = 4.5 x 104 (1 + 0.6r²) in which R is in W/m³ and r is the radial coordinate measured in meters. The inner surface of the sphere is subjected to a uniform heat flux of 15,000 W/m², while heat is dissipated by convection to an ambient air at 25 °C through the outer surface with an average heat transfer coefficient of 150 W/(m².K). Determine the temperature of the outer surface under steady conditions. (92.3 °C)

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 2.25P: Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner...

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