Heat transfer on peristaltic flow of fourth grade fluid in inclined asymmetric channel with partial slip

Mehmood, Obaid Ullah; Mustapha, Norzieha; Shafie, Sharidan

doi:10.1007/s10483-012-1624-6

Cited by 32 publications

(16 citation statements)

References 24 publications

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“…Beard and Walters [12] were the first to study the elastico-viscous two-dimensional boundary layer flow near a stagnation point. Further, Mehmood et al [13] presented the peristaltic flow of Walters' B fluid in an asymmetric channel. They used the perturbation technique to obtain the analytic solution.…”

Section: Introductionmentioning

confidence: 99%

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Hayat¹,

Shafiq

Mustafa

et al. 2015

Zeitschrift Für Naturforschung A

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This work studies the flow of Walters-B fluid over a stretching surface with Newtonian heating. The governing partial differential equations are first simplified through boundary layer approximations and then reduced into ordinary differential equations by using the appropriate substitutions. The resulting problems have been solved for the series solutions by a homotopic approach. Convergence analysis is performed and appropriate values are determined by plotting the so-called ℏ-curves. Graphical results for the dimensionless velocity and temperature are presented and discussed for various physical parameters. In addition, the expressions of skin friction coefficient and the local Nusselt number are presented. The dimensionless expressions of wall shear stress and wall mass flux are analysed graphically and numerically.

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Section: Introductionmentioning

confidence: 99%

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Hayat¹,

Shafiq

Mustafa

et al. 2015

Zeitschrift Für Naturforschung A

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“…Nadeem and Akbar [29] have discussed the influence of heat transfer and magnetic field on peristaltic flow of a Johnson-Segalman fluid in a vertical symmetric channel. Some more works regarding peristaltic flows with the effect of heat transfer and magnetic field can be seen in [30][31][32][33]. Srinivas et al [34] have studied the effects of both wall slip conditions and heat transfer on peristaltic flow of MHD Newtonian fluid in a porous channel with elastic wall properties.…”

Section: Introductionmentioning

confidence: 99%

Effects of Heat and Mass Transfer on the Peristaltic Transport of MHD Couple Stress Fluid through Porous Medium in a Vertical Asymmetric Channel

Ramesh

Devakar

2015

Journal of Fluids

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The intrauterine fluid flow due to myometrial contractions is peristaltic type motion and the myometrial contractions may occur in both symmetric and asymmetric directions. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitude, and phase due to the variation of channel width, wave amplitudes and phase differences. In this paper, we study the effects of heat and mass transfer on the peristaltic transport of magnetohydrodynamic couple stress fluid through homogeneous porous medium in a vertical asymmetric channel. The flow is investigated in the wave frame of reference moving with constant velocity with the wave. The governing equations of couple stress fluid have been simplified under the long wave length approximation. The exact solutions of the resultant governing equations have been derived for the stream function, temperature, concentration, pressure gradient, and heat transfer coefficients. The pressure difference and frictional forces at both the walls are calculated using numerical integration. The influence of diverse flow parameters on the fluid velocity, pressure gradient, temperature, concentration, pressure difference, frictional forces, heat transfer coefficients, and trapping has been discussed. The graphical results are also discussed for four different wave shapes. It is noticed that increasing of couple stresses and heat generation parameter increases the size of the trapped bolus. The heat generation parameter increases the peristaltic pumping and temperature.

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“…Heat (hyperthermia), radiation (laser therapy) and coldness (cryosurgery) are used as means to destroy undesirable tissues in cancer therapy. Several authors [17,4,23,2] have therefore discussed the effect of heat transfer in the presence/absence of magnetic field. Tripathi et al [28,30] have developed mathematical model to study the influence of heat transfer on the transport of food bolus through human digestive tract.…”

Section: Introductionmentioning

confidence: 99%