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For the finite-volume drain
the flowrate response factor
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body | \delta q_1 / \delta q_2 |
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is
constantgetting stabilised over time as:
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anchor | Case2_PSS |
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alignment | left |
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\delta q_1 / \delta q_2 = f_{21} = \frac{c_{t,2} V_{\phi, 2}}{c_{t,1} V_{\phi, 1}} = \rm const |
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For the finite-volume reservoir the DTR and CTR are both going through the PSS flow regime at late times:
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anchor | Case2_PSS_p11 |
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alignment | left |
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| p_{u,\rm 11}(t) = \frac{t}{c_{t,1} V_{\phi, 1}} |
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anchor | Case2_PSS_p21 |
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alignment | left |
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| p_{u,\rm 21}(t) = \frac{t}{c_{t,2} V_{\phi,2}} |
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where
Substituting LaTeX Math Block Reference |
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| and LaTeX Math Block Reference |
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| in LaTeX Math Block Reference |
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| one arrives to LaTeX Math Block Reference |
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