Answer to Problem 3.2
The heat flux in the rod and the outward heat flow.
Now that we have obtained the temperature distribution in the rod (equation 3.16), the heat flux at any location is determined using Fourier's law. The heat flux (W/m2) is
(3.17)
The outward directed component of the vector at z = 0 and z = L and respectivelywhere is the outward drawn normal to the surface. the net outflow from the rod is then
(3.18) (3.19)
(3.20) where Q = net outflow of heat from the rod, watts Ac = cross sectional area of rod, m2
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