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Utilization of method of lines (MOL) to solve an 2D Partial Differential Equation of an cork cylinder.

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2D-PDE-Cylinder-Heat-Equation

Utilization of finite differences - method of lines (MOL) - to solve an unsteady state 2D Partial Differential Equation of an cork cylinder, in MATLAB.

to write...

Model

The dimensionalizes model can be written as:

Dimensionalizes model.

At the centerline of cylinde the model becomes the next equation. At r = 0, because BC and the term 1/r the model has one indetermination. Applyg L'Hôpital's rule we can arrive at:

dimensionalized_model_at_center.png

Initial and Bounday Conditions

The Initial and Bounday Conditions are given by the following equations:

dimensionalized_model_BC.png

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Utilization of method of lines (MOL) to solve an 2D Partial Differential Equation of an cork cylinder.

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