Consider the base plate of a q = 40000 W/m2 household iron that has a thickness of L = 0.5 cm and the thermal conductivity of k = 15 W/m-K. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside, and the outer surface loses heat to the environment at TE = 20 C by the Taking the convection heat transfer coefficient to be h = 80 W/m2-K and discarding heat loss by radiation. Obtain an expression for the variation of the temperature in the base plate and evaluate the temperature at the outer surfaces. (Find the solution analytically) Hint: Remember Fourier heat conduction law for the boundary conditions of the problem.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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  1. Consider the base plate of a q = 40000 W/m2 household iron that has a thickness of
    L = 0.5 cm and the thermal conductivity of k = 15 W/m-K. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside, and the outer surface loses heat to the environment at
    TE = 20 C by the Taking the convection heat transfer coefficient to be
    h = 80 W/m2-K and discarding heat loss by radiation. Obtain an expression for the variation of the temperature in the base plate and evaluate the temperature at the outer surfaces. (Find the solution analytically)

Hint: Remember Fourier heat conduction law for the boundary conditions of the problem.

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