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Homework Statement
Derive a differential equation (do not solve) for the temperature distribution in a straight conical fin. Assume one dimensional heat flow. This equation is assumed to be 1D steady state conduction.
Homework Equations
For this problem, we can use the generalized fin equation. Please see the attached image of the equation because I do not know how to use the equation editor on here.
The Attempt at a Solution
For the conical fin problem I understand that the cross sectional area is nonuniform and it changes with position. I need to simplify the generalized fin equations using the assumptions of a conical shape fin and then acquire an ordinary differential equation for temperature distribution. I am unsure of any other assumptions I can use for conical fins to further simplify the generalized equation into an ordinary differential equation.
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