Peristaltic motion of a magnetohydrodynamic generalized second‐order fluid in an asymmetric channel

Wang, Yongqi; Ali, Nasir; Hayat, Tasawar

doi:10.1002/num.20528

Cited by 14 publications

(4 citation statements)

References 34 publications

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“…For instance, cooling problems, drag reduction, hot rolling, extrusion of plastic, polymer processing, electronic packing, and so forth are the tremendous application of channel flow in heat transfer problems. Literature survey acknowledge that the comprehensive work related to channel flow has been reported under diverse aspects with various geometries, for example, influence of bio‐magnetic fluid bounded within the wavy cilia walls [20], flow of Eyring–Powell fluid over a nonconducting walls [21], mass injection in porous channel [22], duct flow of Eyring–Powell fluid [23], convective cooling in porous saturated channel [24], Hall current and Ohmic heating in an asymmetric channel [25], slip impacts inside a curved tube [26], squeezing flow through porous channel in the presence of slip boundary [27], thermal radiation in MHD channel [28], homogeneous‐heterogeneous reactions in curved channel [29], Hall and radial magnetic field effects in a channel flow [30] and impact of MHD generalized 2nd‐order fluid in an asymmetric channel [31].…”

Section: Introductionmentioning

confidence: 99%

Peristaltic heat transport analysis of carbon nanotubes in a flexible duct due to metachronal waves of cilia

et al. 2022

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This study investigates the natural convection peristaltic transport of creeping viscous nanofluid flow in an axisymmetric flexible circular duct within the cilia walls. Moreover, the impact of radially varying magnetic field, internal heating and thermal radiation impact is also taken into consideration. The governing boundary layer equations are transformed into suitable form by introducing the nondimensional variables. Closed form exact solution is obtained for the momentum, energy, and pressure gradient profiles. Graphical illustrations are produced, which reflect the importance of multiple parameters of concern. With an increase in the heat source parameter and solid volume fraction of nanoparticles, the fluid temperature increases effectively. Trapping phenomena with the help of streamlines are also developed for variation in the flow rate and Grashof number. Streamlines shows that an enhancement in the Grashof number inflates the size of bolus. It is perceived that Copper has less heat transfer ability as compared to CNTs. Temperature profile decreases dramatically with enhancement in the radiation parameter for all types of solid nanoparticles considered.

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Section: Introductionmentioning

confidence: 99%

Peristaltic heat transport analysis of carbon nanotubes in a flexible duct due to metachronal waves of cilia

et al. 2022

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“…Because of the aforesaid applications, many researchers have studied the peristaltic problems using magnetic effects in asymmetric channels. Wang et al (2011) have investigated the peristaltic motion of a magnetohydrodynamic generalized secondorder fluid in an asymmetric channel. Zakaria and Amin (2012) have discussed the peristaltic flow of a magnetohydrodynamic Oldroyd B fluid in an asymmetric channel.…”

Section: Introductionmentioning

confidence: 99%

Influence of magnetohydrodynamics on peristaltic flow of a Walters B fluid in an inclined asymmetric channel with heat transfer

Ramesh

Devakar

2018

WJE

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Purpose The main purpose of this paper is to study the effect of heat transfer on the peristaltic flow of a magnetohydrodynamic Walters B fluid through a porous medium in an inclined asymmetric channel. Design/methodology/approach The approximate analytical solutions of the governing partial differential equations are obtained using the regular perturbation method by taking wave number as a small parameter. The solutions for the pressure difference and friction forces are evaluated using numerical integration. Findings It is noticed that the pressure gradient and pressure difference are increasing functions of inclination angle and Grashof number. The temperature and heat transfer coefficients both increase with increase in inclination angle, Darcy number, Grashof number and Prandtl number. Increase in Hartmann number and phase difference decreases the size of trapped bolus. Originality/value The problem is original, as no work has been reported on the effect of magnetohydrodynamics on the peristaltic flow of a Walters B fluid through a porous medium in an inclined asymmetric channel with heat transfer.

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“…Hayat et al [21] have studied the peristaltic transport of magnetohydrodynamic Johnson-Segalman fluid for the case of a planar channel. Wang et al [22] have investigated the peristaltic motion of a magnetohydrodynamic generalized second-order fluid in an asymmetric channel. Nadeem and Akram [23,24] have discussed the peristaltic transport of a couple stress fluid and Williamson fluid in an asymmetric channel with the effect of the magnetic field.…”

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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Peristaltic motion of a magnetohydrodynamic generalized second‐order fluid in an asymmetric channel

Cited by 14 publications

References 34 publications

Peristaltic heat transport analysis of carbon nanotubes in a flexible duct due to metachronal waves of cilia

Peristaltic heat transport analysis of carbon nanotubes in a flexible duct due to metachronal waves of cilia

Influence of magnetohydrodynamics on peristaltic flow of a Walters B fluid in an inclined asymmetric channel with heat transfer

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

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