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Open accessJournal ArticleDOI: 10.1088/1757-899X/263/6/062007

Magnetohydrodynamic peristaltic motion of a Newtonian fluid through porous walls through suction and injection

01 Nov 2017-Vol. 263, Iss: 6, pp 062007
Abstract: In this paper, we investigate the peristaltic transport of a conducting Newtonian fluid bounded by permeable walls with suction and injection moving with constant velocity of the wave in the wave frame of reference under the consideration of long wavelength and low Reynolds number. The analytical solution for the velocity field, pressure gradient and the frictional force are obtained. The effect of suction/injection parameter, amplitude ratio and the permeability parameter including slip on the flow quantities are discussed graphically. It is found that the greater the suction/injection parameter, the smaller the pressure rise against the pump works. Further, the pressure rise increases with increasing Magnetic parameter.

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Topics: Pressure gradient (55%), Newtonian fluid (54%), Reynolds number (52%)
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Book ChapterDOI: 10.1007/978-981-15-3215-3_36
01 Jan 2020-
Abstract: Peristaltic transport of a Newtonian fluid, with heat transfer, in a vertical porous axisymmetric tube under long-wavelength approximation is considered. Closed-form solution is obtained as an asymptotic expansion in terms of porosity and free convection parameters. Expressions, for velocity, temperature, coefficient of heat transfer and pressure–flow relationship at the boundary wall of the tube, are derived. It is observed that pressure drop increases as amplitude ratio increases. Further, it has been observed that for some specific values of different parameters under consideration, the mean flux significantly increases by about 8–10% as Grashof number increases from 1 to 2. This relates to optimization of heat transfer in certain processes.

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Topics: Natural convection (62%), Grashof number (60%), Heat transfer (60%) ...read more

1 Citations

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Journal ArticleDOI: 10.12785/AMIS/070424
Abstract: In this article, the mathematical modelling on magnetohydrodynamic peristaltic flow of Jeffrey fluid in the gap between two eccentric tubes has been discussed in the presence of applied magnetic fi eld. Geometrically, we considered two eccentric tubes in which the inner tube is rigid while the tube at the outer side has a sinusoidal wave pro pagating along the wall. The governing equations for Jeffrey fluid in a cylindrical coordinates for three dimensional flow are given. The approximations of low Reynolds number and long wavelength have been employed to reduce the highly nonlinear partial differential equations. The problem has been solved with the help of homotopy perturbation method alongwith eigen function expansion method. The graphs of pressure rise, pressure gradient and velocity (for two and three dimensional flow) have been drawn. The stre amlines have also been presented to discuss the trapping bolus discipline.

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Topics: Reynolds number (54%), Pressure gradient (51%), Partial differential equation (51%) ...read more

55 Citations


Journal ArticleDOI: 10.1016/J.AMC.2013.10.014
Abstract: The effect of velocity slip, temperature and concentration jump conditions on the MHD peristaltic flow of a Carreau fluid in a non-uniform channel with heat and mass transfer is investigated. Using a perturbation technique, for small Weissenberg number, solutions are obtained for the non-linear differential equations with appropriate boundary conditions. The expressions for the stream function, velocity, temperature and concentration fields; and the heat transfer coefficient are obtained. The effects of the physical parameters on the velocity and temperature fields are presented through graphs, and are discussed. Also, the trapping phenomenon is analyzed. It is observed that the size of the trapping bolus increase with an increase in the velocity slip parameter @b"1.

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Topics: Carreau fluid (58%), Slip ratio (58%), Stream function (54%) ...read more

48 Citations


Open accessJournal ArticleDOI: 10.3233/ABB-140093
Abstract: Peristaltic flow of viscous fluid in an asymmetric inclined channel with heat transfer and inclined magnetic field is examined. The convective boundary conditions have been handled. Complexity of emerging equations is simplified by utilizing long wavelength and low Reynolds number approximation. Variation of emerging parameters embedded in flow system are discussed. It is observed that an increase in Brikman number increases the temperature profile. Further, it is seen that temperature distribution is an increasing function of Biot number at lower wall.

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Topics: Nusselt number (64%), Reynolds number (58%), Biot number (57%) ...read more

9 Citations