Answer:
<em> The heat diffusion equation for a 1-D cylindrical, radial coordinate system with internal heat generation is given as</em>
<em> </em><em></em>
<em>This equation is comparable to equation 2.26 when φ and z terms are considered 0.</em>
Explanation:
As per the given statement, <em>heat diffusion equation for a one-dimensional, cylindrical, radial coordinate system with internal heat generation </em>is given as the condition.
Let us consider a control volume of unit thickness with volume as given below perpendicular to the paper.
As per the conservation of energy
Now using the Fourier's law in 1-D coordinate system
Similarly
Substituting these values in the energy balance equation gives
Dividing both sides with 2πr dr
The heat diffusion equation for a 1-D cylindrical, radial coordinate system with internal heat generation is given as
This equation is comparable to equation 2.26 when φ and z terms are considered 0.