Abstract:
:In this article, the problem of laminar, isothermal, incompressible and viscous flow in a rectangular domain bounded by two moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions, is investigated. The governing non-linear equations and their associated boundary conditions are transformed into a highly non-linear ordinary differential equation. The series solution of the problem is obtained by utilising the homotopy perturbation method. Graphical results are presented to investigate the influence of the non-dimensional wall dilation rate and seepage Reynolds number (Re) on the velocity, normal pressure distribution and wall shear stress. Since the transport of biological fluids through contracting or expanding vessels is characterised by low seepage Res, the current study focuses on the viscous flow driven by small wall contractions and expansions of two weakly permeable walls.
journal_name
Comput Methods Biomech Biomed Enginauthors
Dinarvand Sdoi
10.1080/10255842.2010.497490subject
Has Abstractpub_date
2011-10-01 00:00:00pages
853-62issue
10eissn
1025-5842issn
1476-8259pii
933988434journal_volume
14pub_type
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journal_title:Computer methods in biomechanics and biomedical engineering
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journal_title:Computer methods in biomechanics and biomedical engineering
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