Answered: Heat flux The heat flow vector field…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter14: Heat And Heat Transfer Methods

Section: Chapter Questions

Problem 35PE: (a) A firewalker runs across a bed of hot coals without sustaining burns. Calculate the heat...

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Heat flux The heat flow vector field for conducting objects is F = -k∇T, where T(x, y, z) is the temperature in the object and k > 0 is a constant that depends on the material. Compute the outward flux of F across the following surfaces S for the given temperature distributions. Assume k = 1.

T(x, y, z) = 100e^{-x - y}; S consists of the faces of the cube | x | ≤ 1,
| y | ≤ 1, | z | ≤ 1.

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