Exact solutions for MHD flow of couple stress fluid with heat transfer

Khan, Najeeb Alam; Khan, Hassam; Ali, Syed Anwar

doi:10.1016/j.joems.2014.10.003

Cited by 35 publications

(13 citation statements)

References 28 publications

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“…An attempt has been made to obtain an exact solutions of the problems, by using the wave transformation. A methodology is developed, that not only encompasses the exact solutions that have been appeared in the previous publications [14]. Also, the exact solutions of ( + ) system that do not seem to have been reported before.…”

Section: Discussionmentioning

confidence: 99%

Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics

Khan

2014

Nonlinear Engineering

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In this note, traveling wave solutions for ( + ) dimensional uid models of incompressible ow are considered. The governing partial di erential equations of two models are reduced to ordinary di erential equation by employing wave parameter and exact solutions are obtained. It is shown that these uid models allow + dimensional solutions amongst each other. The methodology used in this work is independent of symmetric consideration and other restrictive assumption. Finally, a set of example of boundary condition is discussed for the couple stress uid. It is observed that velocity pro le strongly depends upon couple stress parameter.

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Section: Discussionmentioning

confidence: 99%

Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics

Khan

2014

Nonlinear Engineering

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“…In view of the formulation structure, some limitations of the model problem are the following: The modeled problem is invalid for the flow of gases due to η mentioned in (20), because by the use of viscosity it becomes undefined. Similarly, for S = 0, the problem reduces from unsteady to steady state.…”

Section: Similarity Transformationmentioning

confidence: 99%

“…Results were obtained for the heat transfer with respect to different parameters by the help of shooting method, while the results of previous papers were compared. Furthermore, the influence of MHD on fluid flow in various geometries was studied in [20][21][22]. These are very resent works in the fluid mechanics having MHD flow over thin film with heat and mass transfers.…”

Section: Introductionmentioning

confidence: 99%

Suction/injection effects on an unsteady MHD Casson thin film flow with slip and uniform thickness over a stretching sheet along variable flow properties

et al. 2019

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In this investigation the attention is given to a mathematical model of the non-Newtonian Casson liquid over an unsteady stretching sheet under the combined effects of different natural parameters with heat transfer in the presence of suction/injection phenomena. The movement of a laminar thin liquid film and associated heat transfer from a horizontal stretching surface is studied. Magnetic field is proposed perpendicular to the direction of flow, while surface tension is varied quadratically with temperature of the conducting fluid. Further, variable viscosity and thermal conductivity (linear function of temperature) of the flow are examined. The transformation allows to convert the boundary layer model to a system of nonlinear ODEs (ordinary differential equations). Analytical and numerical solutions of the resulting nonlinear ODEs are obtained by using HAM and BVP4C package. Thickness of the boundary layer is investigated by both methods for a classical selection of the unsteadiness parameter. A selection of the parameter ranges is studied for better solution of the problem. Present observation displays the joined effects of magnetic field, surface tension, suction/injection, and slippage at the boundary is to improve the thermal boundary layer thickness. Results for the heat flux (Nusselt number), skin friction coefficient, and free surface temperature are granted graphically and in a table form. Similarly, the effects of natural parameters on the velocity and temperature profiles are investigated. which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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“…Also, Hassan et al [5] investigated the effect of temperaturedependent fluid density on a reactive couple stress fluid flowing steadily in a vertical channel saturated with porous materials. Other studies carried out lately that shows the usefulness of couple stress fluid can be found in [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

The effects of thermal radiation on the flow of a reactive hydromagnetic heat generating couple stress fluid through a porous channel

Hassan

Fenuga

2019

SN Appl. Sci.

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This research work examines the influence of thermal radiation on the flow of a reactive hydromagnetic couple stress fluid flowing through a passable channel under the drive of heat source. The analytical expressions for the momentum and heat transfer are obtained to find the entropy generation rate using the modified Adomian decomposition method (mADM). The results are correlated with previously obtained results in the bid to ascertain and verity the efficacy of the mADM and mostly for end users to be able to predict the safe and unsafe situations. In addition to that, the effects of thermal radiation and other thermophysical parameters on fluid motion, energy transfer and rate of entropy generation are shown and discussed in tables and graphs.

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Exact solutions for MHD flow of couple stress fluid with heat transfer

Cited by 35 publications

References 28 publications

Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics

Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics

Suction/injection effects on an unsteady MHD Casson thin film flow with slip and uniform thickness over a stretching sheet along variable flow properties

The effects of thermal radiation on the flow of a reactive hydromagnetic heat generating couple stress fluid through a porous channel

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