Basic differential equation
Supported filtration - Theoretical aspects
Article REF: J3501 V1
Basic differential equation
Supported filtration - Theoretical aspects

Author : Dominique LECLERC

Publication date: December 10, 1997, Review date: November 15, 2022 | Lire en français

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1. Basic differential equation

1.1 Darcy's Law

The laws of filtration on a support are obtained from Darcy's equation, which is applied to an elementary layer of cake of thickness dz (figure 1 ):

uz=Bzηdp dz( 1 )

with :

u ...
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