Influence of an inclined magnetic field on heat and mass transfer of the peristaltic flow of a couple stress fluid in an inclined channel

Dar, Ahsana; Elangovan, K.

doi:10.1108/wje-11-2016-0124

Cited by 21 publications

(10 citation statements)

References 24 publications

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“…For the solution of the problem, δ and R e are assumed small [23][24][25][26][27][28][29][30], above equations can be written as…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Singh [21] also have studied the heat and mass transfer of Newtonian fluid flow over a heated vertical flat porous surface with heat source/sink. In recent years, investigations of heat and mass transfer in peristalsis have been reflected by few researchers [22][23][24][25]. They obtained the mathematical expressions for velocity components and pressure gradient using long-wavelength and small Reynolds number approximations.…”

Section: Introductionmentioning

confidence: 99%

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Heat and Mass Transfer of Viscous Fluid in a Permeable Channel with Reabsorbing Walls

Shahzad¹,

Shah²,

Haq³

2022

IJEMD-M

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An analytical investigation is made to determine the heat and mass transfer mechanism of non-isothermal highly viscous uid in a long narrow porous channel. The walls of the channel are maintained at the same temperature. The mathematical model is developed by using the continuity, momentum, energy and diffusion equations. Analytical solutions are establish to get the expressions of velocity eld, pressure distribution, mass ow rate, wall shear stress, temperature profile, mass concentration distribution as well as the heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) with involved physical parameters. Numerical results are graphically sketched to describe the role of different parameters involved in the governing equations. It is observed that longitudinal velocity component is higher at the entrance region as compared to middle position and exit region of the channel. Temperature field decreases at the centerline of the channel with increasing suction (reabsorption) parameter. Concentration decreases from surface to the center of the channel and with increasing suction parameter concentration increases. Heat transfer rate decreases while mass transfer rate increases along the channel. With increasing Brinkman number heat transfer increases and its strength at the entrance region is higher than exit region.

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“…For the solution of the problem, δ and R e are assumed small [23][24][25][26][27][28][29][30], above equations can be written as…”

Section: Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer of Viscous Fluid in a Permeable Channel with Reabsorbing Walls

Shahzad¹,

Shah²,

Haq³

2022

IJEMD-M

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“…The outcome of this study reveals that velocity is the function of Darcy number and annular gap. Dar and Elangovan [25], predicted heat and mass transfer of couple stress uid ow through channel. It is obtained that velocity pro le increases as couple stress parameter increases.…”

Section: Introductionmentioning

confidence: 99%

MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

Gireesha

Sindhu

2020

Nonlinear Engineering

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AbstractThis study has been conducted to focus on natural convection flow of Casson fluid through an annular microchannel formed by two cylinders in the presence of magnetic field. The process of heat generation/absorption is taken into consideration. Combined effects of various parameters such as porous medium, velocity slip and temperature jump are considered. Solution of the present mathematical model is obtained numerically using fourth-fifth order Runge-Kutta-Fehlberg method. The flow velocity, thermal field, skin friction and Nusselt number are scrutinized with respect to the involved parameters of interest such as fluid wall interaction parameter, rarefaction parameter, Casson parameter and Darcy number with the aid of graphs. It is established that higher values of Casson parameter increases the skin friction coefficient. Further it is obtained that rate of heat transfer diminishes as fluid wall interaction parameter increases.

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“…Shen and Ebel [19] analyzed the peristaltic process for heat conducting fluid using two different asymptotic techniques. Dar and Elangovan [20] discussed the influence of both heat and mass transfer and an inclined magnetic field on the peristaltic flow of a couple stress fluid moving in an inclined channel by using the methodology of long wavelength and low Reynolds number to obtain relation for temperature distribution, pressure rise and friction force under the effect of heat and magnetic field parameters. Abd-Alla et al [21] investigated the various influences of space porosity, rotation, heat and mass transfer and compliant wall features on the peristaltic flow of an incompressible Newtonian fluid in a channel.…”

Section: Introductionmentioning

confidence: 99%

The combined influences of heat transfer, compliant wall properties and slip conditions on the peristaltic flow through tube

et al. 2019

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In this research, the peristaltic flow with heat transfer through the two-dimensional horizontal tube of compliant wall properties with slip at boundaries is analyzed analytically. An approximated theoretical model is constructed of springbacked flexible compliant walls pipe, chosen to move as sinusoidal wave. Perturbation solution of the governing equations is obtained with small parameter ε, which means the amplitude ratio, and defined as the ratio of wave amplitude divided by tube radius. The influence of several parameters of slip conditions, wall properties and heat transfer on the dynamics of the liquid through the tube is mathematically studied, resulting in relations describing the fluid flow behavior and the induced net flow rate under the various values of flow parameters as "liquid compressibility, slip flow factor, and wave number", heat transfer parameter like Prandtl number, and elastic wall parameters such as "wall tension, wall damping coefficient, wall stiffness, and wall rigidity". Graphs for net flow rate under the effect of pervious parameters are plotted. Results disclose that the parameters of tube wall features, compressibility of liquid, Knudsen number for wall slip, and heat transfer in the presence of peristaltic pumping have a significant effect on net flow rate induced. This research has numerous related applications in different branches of science such as biological studies for blood flow motion in living creatures and also in industry including simulation of induced elastic waves for fluid flow through a tube.

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Influence of an inclined magnetic field on heat and mass transfer of the peristaltic flow of a couple stress fluid in an inclined channel

Cited by 21 publications

References 24 publications

Heat and Mass Transfer of Viscous Fluid in a Permeable Channel with Reabsorbing Walls

Heat and Mass Transfer of Viscous Fluid in a Permeable Channel with Reabsorbing Walls

MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

The combined influences of heat transfer, compliant wall properties and slip conditions on the peristaltic flow through tube

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