Journal
TRANSPORT IN POROUS MEDIA
Volume 120, Issue 1, Pages 239-254Publisher
SPRINGER
DOI: 10.1007/s11242-017-0918-9
Keywords
Non-Newtonian flow; Porous media flow; Constricted blood vessels; Brinkman region; Darcy region
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Funding
- MHRD Fellowship for Research Scholars
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In this paper, we discussed a mathematical model for two-layered non-Newtonian blood flow through porous constricted blood vessels. The core region of blood flow contains the suspension of erythrocytes as non-Newtonian Casson fluid and the peripheral region contains the plasma flow as Newtonian fluid. The wall of porous constricted blood vessel configured as thin transition Brinkman layer over layered by Darcy region. The boundary of fluid layer is defined as stress jump condition of Ocha-Tapiya and Beavers-Joseph. In this paper, we obtained an analytic expression for velocity, flow rate, wall shear stress. The effect of permeability, plasma layer thickness, yield stress and shape of the constriction on velocity in core & peripheral region, wall shear stress and flow rate is discussed graphically. This is found throughout the discussion that permeability and plasma layer thickness have accountable effect on various flow parameters which gives an important observation for diseased blood vessels.
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