A small sphere of density rho, diameter D and heat generation gdot0 is exposed to a fluid at Tinf with a heat transfer coefficient h. Determine an expression for the steady-state temperature of the sphere, assuming isothermal behavior. At t = 0, the heat generation begins to display the transient decay gdot = gdot0*exp(-B*t) where gdot0 and B are constants. Derive an expression for the transient temperature response of the sphere, T(t). What is the final temperature of the sphere?

A small sphere of density rho, diameter D and heat generation gdot0 is exposed to a fluid at Tinf with a heat transfer coefficient h. Determine an expression for the steady-state temperature of the sphere, assuming isothermal behavior. At t = 0, the heat generation begins to display the transient decay gdot = gdot0exp(-Bt) where gdot0 and B are constants. Derive an expression for the transient temperature response of the sphere, T(t). What is the final temperature of the sphere?

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.

Chapter7: Forced Convection Inside Tubes And Ducts

Section: Chapter Questions

Problem 7.26P

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