Hall effects on the peristaltic transport of Williamson fluid through a porous medium with heat and mass transfer

Eldabe, Nabil T.; Elogail, M.A.; Elshaboury, S. M.; Hasan, Alfaisal A.

doi:10.1016/j.apm.2015.04.043

Cited by 58 publications

(25 citation statements)

References 25 publications

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“…Their problem is affected by heat and mass transfer, regular perturbation method is utilized for solving their governing system of equations of motion. The peristaltic flow of an incompressible, electrically conducting Williamson fluid is investigated by Eldabe et al [9]. Hall effects, viscous dissipation and Joule heating are taken into account.…”

Section: Introductionmentioning

confidence: 99%

Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

et al. 2020

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In the current paper, the peristaltic transport of a non-Newtonian fluid obeying a Casson model with heat and mass transfer inside a vertical circular cylinder is studied. The considered system is affected by a strong horizontal uniform magnetic field together with the heat radiation and the Hall current. The problem is modulated mathematically by a system of PDE that describe the basic behavior of the fluid motion. The boundary value problem is analytically solved with the appropriate boundary conditions in accordance with the special case, in the absence of the Eckert number. The solutions are obtained in terms of the modified Bessel function of the first kind. Again, in the general case, the system is solved by means of the homotopy perturbation and then numerically through the Runge-Kutta Merson with a shooting technique. A comparison is done between these two methods. Therefore, the velocity, temperature and concentration distributions are obtained. A set of diagrams are plotted to illustrate the influence of the various physical parameters in the forgoing distributions. Finally, the trapping phenomenon is also discussed.

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Section: Introductionmentioning

confidence: 99%

Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

et al. 2020

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“…(19) For our analysis, we have selected the following form of variable viscosity µ s (y) = −αy + 1 for α 1 .…”

Section: Mathematical Formulationmentioning

confidence: 99%

Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid

Bhatti

Zeeshan

2016

Mod. Phys. Lett. B

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In this paper, effects of variable viscosity with heat transfer on solid particle motion of dusty Jeffrey fluid model through a planar channel has been examined. The governing flow problem for fluid phase and dusty phase is formulated with the help of momentum and energy equation. The resulting coupled ordinary differential equations have been solved analytically and closed form solutions are presented. The influence of all the physical parameters are sketched for velocity profile, pressure rise and temperature profile. Numerical computation is used to evaluate the expression for pressure rise. The present analysis is also presented for Newtonian fluid by taking λ 1 → 0 as a special case of our study. It is found that due to the influence of variable viscosity, the fluid velocity changes in the center of the channel and shows opposite behavior near the walls. It is also found that temperature profile increases for larger values of Prandtl number (Pr) and Eckert number (Ec).

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“…In the Williamson fluid model, both the minimum and maximum viscosities are considered to ensure better results for pseudoplastic fluids. There are plenty of articles on Williamson fluid model available [32][33][34][35][36][37], but most of them describe the peristaltic flows of the Williamson fluid. Nadeem et al [38] are the first ones to develop the two-dimensional boundary layer equations for the flow of Williamson fluid past a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface

Halim

Sivasankaran

Noor

2016

Neural Comput & Applic

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A steady stagnation point flow of an incompressible Williamson nanofluid towards a horizontal linearly stretching/shrinking sheet with active and passive controls on the wall mass flux is numerically studied. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation and are solved using the bvp4c package in MATLAB. The velocity, temperature and nanoparticle volume fraction profiles together with the reduced skin friction coefficient, reduced Nusselt number and reduced Sherwood number are graphically presented to visualize the effects of parameters involved in the study. Results show that temperature and nanoparticle volume fraction are decreasing functions of the stagnation parameter, r. It is also found that the diffusivity ratio N bt and Lewis number Le have almost negligible effects on heat transfer rate in passive control. Increasing value of Williamson parameter k will increase the skin friction in both stretching and shrinking surfaces.

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Hall effects on the peristaltic transport of Williamson fluid through a porous medium with heat and mass transfer

Cited by 58 publications

References 25 publications

Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid

Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface

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