MATLAB Solving Heat Equation in Cylindrical Coordinates with MATLAB's pdepe

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When solving the heat equation in cylindrical coordinates using MATLAB's "pdepe" solver, selecting appropriate initial conditions is crucial for accurate modeling. A practical example is modeling heat transfer from a cylindrical wire heating the surrounding air. The initial condition should reflect the temperature distribution at the start of the simulation, typically set to the ambient temperature or the initial temperature of the wire. It's important to consider the physical properties of the materials involved, such as thermal conductivity and specific heat, to ensure realistic simulations. Properly defining these conditions will enhance the accuracy of the solution and provide insights into the heat distribution over time.
Mattw
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hello

i am solving heat equation in cylindrical coordinator. i am using MATLAB "pdepe" solver to solve the partial differential equation. can anyone suggest me how to choose the initial condition?
 
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Think about a real-world problem that you could approximate with the cylindrical heat equation, like heat coming from a cylindrical wire and heating the air.
 

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