A thin slab of material is subjected to microwave radiation that causes volumetric heating to vary according

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A thin slab of material is subjected to microwave radiation that causes volumetric heating to vary according to

where qo has a constant value of 180 kW/m3 and the slab thickness, L, is 0.06 m. The thermal conductivity of the slab material is 0.6 W/m K.
The boundary at x = L is perfectly insulated, while the surface at x = 0 is maintained at a constant temperature of 320 K.

a. Determine an expression for T(x) in terms of X, L, k, q0, and T0.
b. Where in the slab will the maximum temperature occur?
c. What is the value of Tmax?

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Fundamentals Of Momentum Heat And Mass Transfer

ISBN: 9781119723547

7th Edition

Authors: James Welty, Gregory L. Rorrer, David G. Foster

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