A mathematical model for the study of blood flow through a channel with permeable walls

Misra, J. C.; Ghosh, Sushil Kumar

doi:10.1007/bf01181995

Cited by 24 publications

(11 citation statements)

References 4 publications

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“…This technique is also applied in several biomedical strategies; e.g., finger and roller thrusts. In view of its significance, numerous specialists have inspected the creeping sinusoidal flow of diverse fluids under many conditions [1][2][3][4][5][6]. In physiological structures, it is known that all vessels are not straight but have some inclination with the axis.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties

Dhange

Sankad

2019

International Journal of Applied Mechanics and Engineering

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In this paper, the dispersion of a solute in the peristaltic propulsion of an incompressible and viscous fluid through a permeable medium under the influence of wall properties with simultaneous homogeneous, heterogeneous chemical reactions in an inclined uniform channel has been studied. The issue is studied through conditions of Taylor's limit and long wavelength hypothesis. The mean effective coefficient of scattering expression is computed and outcomes are interpreted physically through graphs.

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Section: Introductionmentioning

confidence: 99%

Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties

Dhange

Sankad

2019

International Journal of Applied Mechanics and Engineering

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“…Further, a number of authors have studied the dispersion of a solute through a porous medium under different conditions (Mehta and Tiwari 1988;Pal 1999;Rudraiah and Reddy 2013). Flow through porous media has various physiological applications such as the flow of blood in the micro-vessels of the lungs which may be treated as a channel bounded by two thin porous layers (Misra and Ghosh 1997).…”

Section: Introductionmentioning

confidence: 99%

Effect of Homogeneous and Heterogeneous Chemical Reactions on Peristaltic Transport of a Jeffrey Fluid through a Porous Medium with Slip Condition

Ravikiran¹,

Radhakrishnamacharya²

2015

JAFM

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In this paper, the dispersion of solute matter in a Jeffrey fluid flow through a porous medium in a peristaltic channel has been investigated under the influence of slip boundary conditions. Long wavelength approximation and Taylor's limiting condition are used to obtain the average effective dispersion coefficient in both the cases of homogeneous and heterogeneous chemical reactions. The effects of various pertinent parameters on the effective dispersion coefficient are discussed. Average effective dispersion coefficient increases with amplitude ratio. That is, more dispersion in the presence of peristalsis. Further, the average effective dispersion coefficient increases with the permeability parameter and the slip parameter; but decreases with the Jeffrey number, homogeneous / heterogeneous chemical reaction rate parameter.

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“…Verma et al [12] studied the pulsatile blood flow of a microdeformable fluid. A mathematical model for the study of blood flow through a channel with permeable walls of finite width is discussed by Mishra and Ghosh [13]. Vajravelu et al [14] studied the pulsatile flow of a viscous incompressible Newtonian fluid between permeable beds.…”

Section: Introductionmentioning

confidence: 99%

Pulsating flow of an incompressible micropolar fluid between permeable beds

Bitla

Iyengar

2013

NAMC

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The paper deals with the pulsating flow of an incompressible micropolar fluid through a channel bounded by permeable beds. The fluid is injected into the channel from the lower permeable bed with a certain velocity and is sucked into the upper permeable bed with the same velocity. The flow between the permeable beds is assumed to be governed by micropolar fluid flow equations and that in the permeable regions by Darcy law. The Beavers–Joseph (BJ) slip boundary conditions are used at the interfaces of the permeable beds. The governing equations are solved analytically and the expressions for velocity, microrotation, mass flux and shear stress are obtained. The effects of diverse parameters on the velocity and microrotation are studied numerically and the results are presented through graphs.

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A mathematical model for the study of blood flow through a channel with permeable walls

Cited by 24 publications

References 4 publications

Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties

Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties

Effect of Homogeneous and Heterogeneous Chemical Reactions on Peristaltic Transport of a Jeffrey Fluid through a Porous Medium with Slip Condition

Pulsating flow of an incompressible micropolar fluid between permeable beds

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