Slip effects on MHD flow of third order fluid in a planar channel

Hayat, Tasawar; Mehmood, Obaid Ullah

doi:10.1016/j.cnsns.2010.06.034

Cited by 47 publications

(15 citation statements)

References 22 publications

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“…Therefore, several models of non-Newtonian fluids have been suggested and considered. Heat and mass transfer on peristaltic flow of different non-Newtonian fluid models have been studied by [24][25][26]. Recently, peristaltic flow of hyperbolic tangent fluid in an annulus with heat and mass transfer is studied by Akbar et al [27].…”

Section: Introductionmentioning

confidence: 98%

Nonlinear peristaltic flow of Walter's B fluid in an asymmetric channel with heat transfer and chemical reactions

2014

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In this paper, effects of heat and mass transfer on peristaltic transport ofWalter's B fluid in an asymmetric channel are investigated. The governing equations are solved using regular perturbation method by taking wave number as a small parameter. Expressions for the stream function, temperature distribution, heat transfer coefficient, and mass concentration are presented in explicit form. Solutions are analyzed graphically for different values of arising parameters such as viscoelastic parameter, Prandtl, Eckert, Soret, Schmidt, and Reynolds number. It has been found that these parameters considerably affect the considered flow characteristics. Results show that with an increase in Eckert and Prandtl number temperature and heat transfer coefficient increase while mass concentration decreases. Further, Mass concentration also decreases with increasing Soret and Schmidt number.

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Section: Introductionmentioning

confidence: 98%

Nonlinear peristaltic flow of Walter's B fluid in an asymmetric channel with heat transfer and chemical reactions

2014

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“…Various authors examined theoretically and experimental the effects of Magnetohydrodynamics on peristaltic flow. Hayat et al [20] examined simultaneously the slip effects and Magnetohydrodynamics on third-grade fluid through a planar channel. Sinha et al [21] studied the MHD peristaltic flow with heat transfer through an asymmetric channel.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetohydrodynamic (EMHD) peristaltic flow of solid particles in a third-grade fluid with heat transfer

Bhatti

Zeeshan

Ellahi

2017

Mechanics & Industry

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In this article, the Electromagnetohydrodynamic (EMHD) flow with heat transfer on thirdgrade fluid containing small particles has been investigated. The influence of thermal radiation are also taken under considerations. An external vertical magnetic field and horizontal electric field is applied while the induced magnetic field is very small and assumed to be negligible here. Long wavelength and zero Reynolds number approximation have been used to simplify the governing flow problem. The resulting highly nonlinear coupled ordinary differential equations are solved analytically with the help of perturbation method. The influence of all the pertinent parameters is discussed with the help of graphs for velocity profile, temperature profile, and pressure rise. Numerical computation has also been used to determine the expression for pressure rise. Trapping mechanism is also discussed with the help of streamlines.

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“…Sarpkaya [3] was the first who had studied the MHD flows in non-Newtonian fluids. Thereafter, several authors [4][5][6][7][8][9][10] have shown their interest in MHD flows under different physical conditions.…”

Section: Introductionmentioning

confidence: 99%

Perturbation Solution for Radiating Viscoelastic Fluid Flow and Heat Transfer with Convective Boundary Condition in Nonuniform Channel with Hall Current and Chemical Reaction

Gireesha

Mahanthesh

2013

ISRN Thermodynamics

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A mathematical analysis has been performed for heat and mass transfer of a time-dependent MHD flow of an electrically conducting viscoelastic fluid in nonuniform vertical channel with convective boundary condition. The fluid flow is considered between a vertical long wavy wall and a parallel flat wall saturated with the porous medium. The effects of thermal radiation, heat absorption, chemical reaction, and Hall current are taken into account. The prevailing nonlinear partial differential equations are derived by considering Boussinesq approximation, and the same equations are solved analytically using perturbation technique. Further the expressions for skin friction, Nusselt number, and Sherwood number are presented. The effects of various pertinent parameters on different flow fields are analyzed graphically and tabularly. It is found that effects of Hall parameter and Biot number are unfavorable on velocity profiles, but this trend is reverse for the effect of thermal and solutal Grashof numbers. The expressions of different flow fields satisfy the imposed boundary conditions, which is shown in all graphs; this implies accuracy of the solution.

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Slip effects on MHD flow of third order fluid in a planar channel

Cited by 47 publications

References 22 publications

Nonlinear peristaltic flow of Walter's B fluid in an asymmetric channel with heat transfer and chemical reactions

Nonlinear peristaltic flow of Walter's B fluid in an asymmetric channel with heat transfer and chemical reactions

Electromagnetohydrodynamic (EMHD) peristaltic flow of solid particles in a third-grade fluid with heat transfer

Perturbation Solution for Radiating Viscoelastic Fluid Flow and Heat Transfer with Convective Boundary Condition in Nonuniform Channel with Hall Current and Chemical Reaction

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