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Mathematical Model


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\frac{\partial p}{\partial t} = \chi \, \left[  \frac{\partial^2 p}{\partial t^2} + \frac{1}{r} \frac{\partial p}{\partial r} \right]



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p(t=0,r) = p_i



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p(t, r=\infty) = p_i



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\left[ r \frac{\partial p}{\partial r} \right]_{r=0} = - \frac{q_t}{2 \pi \sigma}




See also

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Physics / Fluid Dynamics / Radial fluid flow / Line Source Solution

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