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) and plotted it for one set of parameters, the heat flux distribution will be 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 are respectively
(3.18)
 
(3.19)
 
where is the outward drawn normal to the surface. The net outflow from the rod is then
(3.20)
 
where               Q  = net outflow of heat from the rod, units: Watts
                Ac = cross sectional area of rod, units: m2

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