2013
DOI: 10.1155/2013/287954
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Abstract: The steady flow of Herschel-Bulkley and Casson fluids for blood flow in tubes filled with homogeneous porous medium with (i) constant and (ii) variable permeability is analyzed. The expression for the shear stress is obtained first by general iteration method and then using numerical integration; the solutions for velocity and flow rate are obtained. It is noticed that the shear stress and plug core radius are considerably higher in the case of variable permeability than those of the constant permeability case… Show more

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Cited by 2 publications
(1 citation statement)
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“…Anil Kumar [29] proposed a mathematical model to study the porous impact on the blood flow through narrow arteries. Treating blood as two different non-Newtonian fluids with varying yield stress such as Casson and Herschel-Bulkley, Sankar and Nagar [30] have conducted a comparative study on the flow of blood in a homogeneous porous medium with a constant and variable permeability. Subsequently, numerous mathematical models for Newtonian and non-Newtonian flow of blood have been developed by several authors [31][32][33][34][35][36] involving both applied magnetic field and periodic body acceleration force coupled with porous medium.…”
Section: Introductionmentioning
confidence: 99%
“…Anil Kumar [29] proposed a mathematical model to study the porous impact on the blood flow through narrow arteries. Treating blood as two different non-Newtonian fluids with varying yield stress such as Casson and Herschel-Bulkley, Sankar and Nagar [30] have conducted a comparative study on the flow of blood in a homogeneous porous medium with a constant and variable permeability. Subsequently, numerous mathematical models for Newtonian and non-Newtonian flow of blood have been developed by several authors [31][32][33][34][35][36] involving both applied magnetic field and periodic body acceleration force coupled with porous medium.…”
Section: Introductionmentioning
confidence: 99%