Macroscopic analysis of flowthrough a porous medium between two circular cylinders

A. M. Siddiqui; S. Sadiq; A. R. Ansari; T. Haroon

doi:10.1615/JPorMedia.v14.i9.10

Macroscopic analysis of flowthrough a porous medium between two circular cylinders

A. M. Siddiqui, S. Sadiq, A. R. Ansari, T. Haroon

Penn State York

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider the fully developed, incompressible, steady flow through a porous medium between two coaxial cylinders, where the inner cylinder is stationary and the outer cylinder travels parallel to itself. The flow entry profiles are Poiseuille-Couette combinations. In particular we use the Darcy-Forchheimer-Brinkman equation as the model governing flow through the porous medium.We present an analytical solution of the problem employing the optimal homotopy asymptotic method (OHAM), which has been proved to be successful in tackling nonlinear problems.

Original language	English (US)
Pages (from-to)	751-760
Number of pages	10
Journal	Journal of Porous Media
Volume	14
Issue number	9
DOIs	https://doi.org/10.1615/JPorMedia.v14.i9.10
State	Published - 2011

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Biomedical Engineering
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1615/JPorMedia.v14.i9.10

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title = "Macroscopic analysis of flowthrough a porous medium between two circular cylinders",

abstract = "We consider the fully developed, incompressible, steady flow through a porous medium between two coaxial cylinders, where the inner cylinder is stationary and the outer cylinder travels parallel to itself. The flow entry profiles are Poiseuille-Couette combinations. In particular we use the Darcy-Forchheimer-Brinkman equation as the model governing flow through the porous medium.We present an analytical solution of the problem employing the optimal homotopy asymptotic method (OHAM), which has been proved to be successful in tackling nonlinear problems.",

author = "Siddiqui, {A. M.} and S. Sadiq and Ansari, {A. R.} and T. Haroon",

note = "Funding Information: We thank Dr R. Tjian for providing the Sp1 expression plasmid and Dr P. Nettesheim for providing the SPOC 1 cells.This work was funded by NHLBI RO1 HL 43762 and PPG HL 24136 (to C.B.) and USPHS grant RO 1 NCI CA24321 and a grant from the Veterans' Affairs Medical Research Service (to Y.K.). ",

year = "2011",

doi = "10.1615/JPorMedia.v14.i9.10",

language = "English (US)",

volume = "14",

pages = "751--760",

journal = "Journal of Porous Media",

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TY - JOUR

T1 - Macroscopic analysis of flowthrough a porous medium between two circular cylinders

AU - Siddiqui, A. M.

AU - Sadiq, S.

AU - Ansari, A. R.

AU - Haroon, T.

N1 - Funding Information: We thank Dr R. Tjian for providing the Sp1 expression plasmid and Dr P. Nettesheim for providing the SPOC 1 cells.This work was funded by NHLBI RO1 HL 43762 and PPG HL 24136 (to C.B.) and USPHS grant RO 1 NCI CA24321 and a grant from the Veterans' Affairs Medical Research Service (to Y.K.).

PY - 2011

Y1 - 2011

N2 - We consider the fully developed, incompressible, steady flow through a porous medium between two coaxial cylinders, where the inner cylinder is stationary and the outer cylinder travels parallel to itself. The flow entry profiles are Poiseuille-Couette combinations. In particular we use the Darcy-Forchheimer-Brinkman equation as the model governing flow through the porous medium.We present an analytical solution of the problem employing the optimal homotopy asymptotic method (OHAM), which has been proved to be successful in tackling nonlinear problems.

AB - We consider the fully developed, incompressible, steady flow through a porous medium between two coaxial cylinders, where the inner cylinder is stationary and the outer cylinder travels parallel to itself. The flow entry profiles are Poiseuille-Couette combinations. In particular we use the Darcy-Forchheimer-Brinkman equation as the model governing flow through the porous medium.We present an analytical solution of the problem employing the optimal homotopy asymptotic method (OHAM), which has been proved to be successful in tackling nonlinear problems.

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Macroscopic analysis of flowthrough a porous medium between two circular cylinders

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