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Journal Article•DOI•

Effect of Hall currents on interaction of pulsatile and peristaltic transport induced flows of a particle–fluid suspension

N.S. Gad1•
Ain Shams University1
01 Jan 2011-Applied Mathematics and Computation (Elsevier)-Vol. 217, Iss: 9, pp 4313-4320
TL;DR: A perturbation solution to the complete set of Navier–Stokes equations is found for the case in which the frequency of the traveling wave and that of the imposed pressure gradient are equal and a first order steady flow is found to exist.
About: This article is published in Applied Mathematics and Computation.The article was published on 2011-01-01. It has received 44 citations till now. The article focuses on the topics: Hartmann number & Pressure gradient.
Citations
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Journal Article•DOI•
Effects of coagulation on the two-phase peristaltic pumping of magnetized Prandtl biofluid through an endoscopic annular geometry containing a porous medium

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Muhammad Mubashir Bhatti1, Ahmed Zeeshan2, Rahmat Ellahi3, Rahmat Ellahi2, O. Anwar Bég4, Ali Kadir4 •
Shanghai University1, King Fahd University of Petroleum and Minerals2, International Islamic University, Islamabad3, University of Salford4
14 Feb 2019-Chinese Journal of Physics
TL;DR: In this paper, a mathematical model for elucidating the effects of coagulation (i.e., a blood clot) on peristaltically induced motion of an electricallyconducting (magnetized) Prandtl fluid physiological suspension through a non-uniform annulus containing a homogenous porous medium is developed.

105 citations

Cites background from "Effect of Hall currents on interact..."

  • ...Examples include peristaltic flows [29], geometric design of bypass graft-ends and the prediction of local aerosol depositions in the human upper airways [30], coronary atherogenesis arterial dynamics [31], annular peristaltic flows [32], magnetohydrodynamic Hall current pulsatile-peristaltic hemodynamics [33], dialysis filtration simulation [34], slip endoscopic peristaltic pumping flows [34], thermal purification biomedical systems modelling [35]....

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  • ...In the above equation, the following parameter values [32-34, 41-45] i....

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  • ...The geometry of a wall surface is simulated analytically by the following expressions which realistically describe endoscopic configurations [32, 33, 41, 45]:...

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Journal Article•DOI•
Effect of rotation on peristaltic flow of a micropolar fluid through a porous medium with an external magnetic field

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A. M. Abd-Alla1, S. M. Abo-Dahab1, R.D. Al-Simery1•
Taif University1
01 Dec 2013-Journal of Magnetism and Magnetic Materials
TL;DR: In this article, the effects of both rotation and magnetic field of a micropolar fluid through a porous medium induced by sinusoidal peristaltic waves traveling down the channel walls are studied analytically and computed numerically.

80 citations

Journal Article•DOI•
Magnetic field and rotation effects on peristaltic transport of a Jeffrey fluid in an asymmetric channel

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A. M. Abd-Alla1, A. M. Abd-Alla2, S. M. Abo-Dahab1•
Taif University1, Sohag University2
15 Jan 2015-Journal of Magnetism and Magnetic Materials
TL;DR: In this paper, the peristaltic flow of Jeffrey fluid in an asymmetric rotating channel is studied and the effect of the Hartmann number, the ratio of relaxation to retardation times, time-mean flow, rotation and the phase angle on the pressure gradient, pressure rise, streamline, axial velocity and shear stress are discussed in detail and shown graphically.

73 citations

Cites background from "Effect of Hall currents on interact..."

  • ...Gad [14] discussed the effect of hall currents on the interaction of pulsatile and peristaltic transport induced flows of a particle fluid suspension....

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Journal Article•DOI•
Influences of Hall current and chemical reaction in mixed convective peristaltic flow of Prandtl fluid

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Tasawar Hayat1, Tasawar Hayat2, Hina Zahir1, Anum Tanveer1, A. Alsaedi2 •
Quaid-i-Azam University1, King Abdulaziz University2
01 Jun 2016-Journal of Magnetism and Magnetic Materials
TL;DR: In this article, the mixed convective peristaltic flow of Prandtl fluid in a planar channel with compliant walls is analyzed and heat transfer in fluid flow is characterized through convective boundary conditions.

58 citations

Journal Article•DOI•
Heat and mass transfer effects on the peristaltic flow of Johnson–Segalman fluid in a curved channel with compliant walls

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S. Hina1, Tasawar Hayat2, Tasawar Hayat3, A. Alsaedi3•
Fatima Jinnah Women University1, Quaid-i-Azam University2, King Abdulaziz University3
01 Jun 2012-International Journal of Heat and Mass Transfer
TL;DR: In this article, the influence of heat and mass transfer in peristaltic transport of Johnson-Segalman fluid in a curved channel with flexible walls has been analyzed under long wavelength and low Reynolds number approximations.

57 citations

References
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Journal Article•DOI•
The drag on a cloud of spherical particles in low Reynolds number flow

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Christopher K. W. Tam1•
Massachusetts Institute of Technology1
18 Sep 1969-Journal of Fluid Mechanics
TL;DR: In this article, a model for the drag exerted on a cloud of spherical particles of a given particle size distribution in low Reynolds number flow is derived, where the drag experienced by a particle depends only on the first three moments of the distribution function.
Abstract: A formula for the drag exerted on a cloud of spherical particles of a given particle size distribution in low Reynolds number flow is derived. It is found that the drag experienced by a particle depends only on the first three moments of the distribution function. A treatment of viscous interaction between N particles to the lowest order is carried out systematically. By appealing to the concept of ‘randomness’ of the particle cloud, equations describing the averaged properties of the fluid motion are derived. The averages are formed over a statistical ensemble of particle configurations. These mean flow equations so obtained are in a form resembling a generalized version of Darcy's empirical equation for the motion of fluid in a porous medium. The physical meaning of these equations is discussed.

324 citations

"Effect of Hall currents on interact..." refers methods in this paper

  • ...(4) obtained by Tam [19], represents the classical Stokes drag for small particle Reynolds number, modified to account for the finite particulate fractional volume through the function k0(C)....

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Journal Article•DOI•
Peristaltic transport of blood: Casson model--II.

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L.M. Srivastava1, V.P. Srivastava•
University of Liberia1
01 Jan 1984-Journal of Biomechanics
TL;DR: The problem of peristaltic transport of blood in a uniform and non-uniform tube has been investigated, under zero Reynolds number and long wavelength approximation and it is found that, for a given flow rate, the pressure rise decreases as the viscosity of the peripheral layer decreases.

248 citations

Book•
Blood flow and microcirculation

[...]

Stanley E. Charm, George S. Kurland
01 Jan 1974

215 citations

"Effect of Hall currents on interact..." refers methods in this paper

  • ...(5), was derived by Charm and Kurland [3]....

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Journal Article•DOI•
Hall effects on peristaltic flow of a Maxwell fluid in a porous medium

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Tasawar Hayat1, Nasir Ali1, Saleem Asghar2•
Quaid-i-Azam University1, COMSATS Institute of Information Technology2
09 Apr 2007-Physics Letters A
TL;DR: In this paper, the peristaltic transport of an incompressible, electrically conducting Maxwell fluid in a planar channel is considered, where the flow in the porous space is due to a sinusoidal wave traveling on the channel walls.

182 citations

Journal Article•DOI•
Peristaltic Motion of a Particle-Fluid Suspension in a Planar Channel

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Kh. S. Mekheimer, Elsayed F. El Shehawey, A. M. Elaw
01 Nov 1998-International Journal of Theoretical Physics
TL;DR: In this paper, the authors analyze the mechanics of peristaltic pumping of a particle-fluid suspension in a channel and discuss the effect of the concentration of the particles, the Reynolds number, and the wave number on the pressure rise.
Abstract: We analyze the mechanics of peristaltic pumpingof a particle-fluid suspension in a channel. Aperturbation series (to second order) in dimensionlesswave number of an infinite harmonic travelling wave is used to obtain an explicit form for thevelocities and a relation between the flow rate and thepressure gradient in terms of the Reynolds number,concentration of the particles, suspension parameters, and the occlusion. We discuss the effect of theconcentration of the particles, the Reynolds number, andthe wave number on the pressure rise, peristalticpumping, augmented pumping, and backward pumping. We also discuss the phenomenon oftrapping.

151 citations

Related Papers (5)
Peristaltic pumping with long wavelengths at low Reynolds number

[...]

28 Jul 1969-Journal of Fluid Mechanics
Ascher H. Shapiro, M. Y. Jaffrin, Steven L. Weinberg
Hall effects on peristaltic flow of a Maxwell fluid in a porous medium

[...]

09 Apr 2007-Physics Letters A
Tasawar Hayat, Nasir Ali, Saleem Asghar
The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls

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01 Jul 2009-Applied Mathematics and Computation
Suripeddi Srinivas, M. Kothandapani
Peristaltic Motion of a Particle-Fluid Suspension in a Planar Channel

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01 Nov 1998-International Journal of Theoretical Physics
Kh. S. Mekheimer, Elsayed F. El Shehawey, A. M. Elaw
The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport

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01 Nov 2009-Computer Physics Communications
Suripeddi Srinivas, R. Gayathri, M. Kothandapani