Consider a spherical aluminum tank used to store ice at 0oC with an internal radius of 0.6 m, wall 10 cm thick and k=15.1 W/(m.oC). The exposed surface of the container exchanges heat by convection with ambient air at 30oC and h=20 W/(m2.oC). Ask: (a) Write the differential equation that describes heat conduction through the wall; (b) Solve the equation to obtain the wall temperature profile of the tank as a function of the radial position, using as conditions boundary the temperatures of the surfaces T1 (at r=r1) and T2 (at r=r2); (c) Apply an energy balance on the surface r=r2 to estimate the temperature T2 (d) Obtain the heat gain rate (in W)

Consider a spherical aluminum tank used to store ice at 0oC with an internal radius of 0.6 m, wall 10 cm thick and k=15.1 W/(m.oC). The exposed surface of the container exchanges heat by convection with ambient air at 30oC and h=20 W/(m2.oC). Ask: (a) Write the differential equation that describes heat conduction through the wall; (b) Solve the equation to obtain the wall temperature profile of the tank as a function of the radial position, using as conditions boundary the temperatures of the surfaces T1 (at r=r1) and T2 (at r=r2); (c) Apply an energy balance on the surface r=r2 to estimate the temperature T2 (d) Obtain the heat gain rate (in W)

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.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.10P

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