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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| Format: | Article |
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MDPI AG
2025-06-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/10/6/151 |
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| author | M. S. Abu Zaytoon M. H. Hamdan |
| author_facet | M. S. Abu Zaytoon M. H. Hamdan |
| author_sort | M. S. Abu Zaytoon |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-31decef02a554f1bb778216228a67034 |
| institution | Kabale University |
| issn | 2311-5521 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj-art-31decef02a554f1bb778216228a670342025-08-20T03:24:33ZengMDPI AGFluids2311-55212025-06-0110615110.3390/fluids10060151On Modeling Laminar Flow Through Variable Permeability Transition LayerM. S. Abu Zaytoon0M. H. Hamdan1Faculty of Mathematics and Data Science, Emirates Aviation University, Dubai P.O. Box 53044, United Arab EmiratesDepartment of Mathematics and Statistics, University of New Brunswick, Saint John, NB E2L 4L5, CanadaA 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.https://www.mdpi.com/2311-5521/10/6/151transition layergeneralized Airy equationgeneralized Nield–Kuznetsov function |
| spellingShingle | M. S. Abu Zaytoon M. H. Hamdan On Modeling Laminar Flow Through Variable Permeability Transition Layer Fluids transition layer generalized Airy equation generalized Nield–Kuznetsov function |
| title | On Modeling Laminar Flow Through Variable Permeability Transition Layer |
| title_full | On Modeling Laminar Flow Through Variable Permeability Transition Layer |
| title_fullStr | On Modeling Laminar Flow Through Variable Permeability Transition Layer |
| title_full_unstemmed | On Modeling Laminar Flow Through Variable Permeability Transition Layer |
| title_short | On Modeling Laminar Flow Through Variable Permeability Transition Layer |
| title_sort | on modeling laminar flow through variable permeability transition layer |
| topic | transition layer generalized Airy equation generalized Nield–Kuznetsov function |
| url | https://www.mdpi.com/2311-5521/10/6/151 |
| work_keys_str_mv | AT msabuzaytoon onmodelinglaminarflowthroughvariablepermeabilitytransitionlayer AT mhhamdan onmodelinglaminarflowthroughvariablepermeabilitytransitionlayer |