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## Energy equation in a 2 dimensional disk
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In a 2 dimensonal disk we can use a
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$`\left\lbrace \begin{array}{lll}
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In a 2 dimensonal disk we can use a simplified equation:
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$`\begin{array}{lll}
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\frac{\partial e}{\partial t} + \nabla \cdot(e\vec v) &=
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&
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-P \nabla \cdot \vec v + Q^+ Q^-
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