On Modeling Laminar Flow Through Variable Permeability Transition Layer
A generalized model of the variable permeability in the transition layer is introduced in this work. This model can handle flows with a small Darcy number and might be useful in controlling permeability amplifications. A solution method for the resulting inhomogeneous, generalized Airy equation is p...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
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| Series: | Fluids |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2311-5521/10/6/151 |
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| Summary: | A generalized model of the variable permeability in the transition layer is introduced in this work. This model can handle flows with a small Darcy number and might be useful in controlling permeability amplifications. A solution method for the resulting inhomogeneous, generalized Airy equation is presented, together with a computational procedure for evaluating the generalized Airy functions and the generalized Nield–Kuznetsov function of the first kind. A complete solution is then provided for the tri-layer flow problem that involves flow over a porous layer with an embedded transition layer. |
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| ISSN: | 2311-5521 |