Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel

Ebaid, Abdelhalim

doi:10.1016/j.physleta.2008.04.031

Cited by 147 publications

(76 citation statements)

References 17 publications

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“…They found that slip influences significantly the volumetric flow rate of blood, flow resistance and also wall (skin) friction. Ebaid [26] discussed the effects of magnetic field and wall slip conditions on peristaltic transport. Yilmaz and Gundogdu [27] reviewed the blood flow in large arteries and analyzed the role of slipping.…”

Section: Introductionmentioning

confidence: 99%

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

et al. 2016

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A theoretical investigation of magnetohydrodynamic (MHD) flow and heat transfer of electrically-conducting viscoplastic fluids through a channel is conducted. The robust Casson model is implemented to simulate viscoplastic behavior of fluids. The external magnetic field is oblique to the fluid flow direction. Viscous dissipation effects are included. The flow is controlled by the metachronal wave propagation generated by cilia beating on the inner walls of the channel. The mathematical formulation is based on deformation in longitudinal and transverse velocity components induced by the ciliary beating phenomenon with cilia assumed to follow elliptic trajectories. The model also features velocity and thermal slip boundary conditions. Closed-form solutions to the non-dimensional boundary value problem are obtained under physiological limitations of low Reynolds number and large wavelength. The influence of key hydrodynamic and thermo-physical parameters i.e. Hartmann (magnetic) number, Casson (viscoplastic) fluid parameter, thermal slip parameter and velocity slip parameter on flow characteristics are investigated. A comparative study is also made with Newtonian fluids (corresponding to massive values of plastic viscosity). Stream lines are plotted to visualize trapping phenomenon. The computations reveal that velocity increases with increasing the magnitude of Hartmann number near the channel walls whereas in the core flow region (centre of the channel) significant deceleration is observed. Temperature is elevated with greater Casson parameter, Hartmann number, velocity slip, eccentricity parameter, thermal slip and also Brinkmann (dissipation) number. Furthermore greater Casson parameter is found to elevate the quantity and size of the trapped bolus. In the pumping region, the pressure rise is reduced with greater Hartmann number, velocity slip, and wave number whereas it is enhanced with greater cilia length.

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Section: Introductionmentioning

confidence: 99%

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

et al. 2016

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“…when the molecular mean free path length of the fluid is comparable to the distance between the plates as in nanochannels or microchannels, the fluid exhibits non-continuum effects such as slip-flow as demonstrated experimentally by Derek et al [12]. Investigations of the effects of slip on the peristaltic motion have been recently reported in [13][14].…”

Section: Introductionmentioning

confidence: 98%

Heat Transfer on Magneto hydrodynamic Peristaltic Flow in a Porous Medium with Partial Slip

Salim¹,

Abdalhadi²

2017

IOSR JMCE

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“…Sarkar et al [15] presented a numerical result for the influence of thermal radiation and buoyancy force on hydromagneticperistaltic motion of nanofluids in a heated asymmetric channel. Meanwhile, the presence of surface lubrication in peristaltic fluid motion through microchannels or small vessels do lead to velocity slip, hence, the application of no-slip condition may not be realistic for this type of flow [16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

MHD Peristaltic Slip Flow of Casson Fluid and Heat Transfer in Channel Filled With a Porous Medium

Makinde

Reddy

2018

Scientia Iranica

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We examine the effect of velocity slip on hydromagnetic peristaltic flow of a Casson fluid and heat transfer through an asymmetric channel fluid filled a porous medium.The model governing equations are obtained, simplified using long wavelength and low Reynolds number assumptions and then tackled analytically.Numerical result for effects of embedded parameters on the stream function, axial velocity, pressure drop, temperature, skin friction and Nusselt number are presented graphically and discussed. It is found that thepermeability parameter enhances the size of the trapped bolus while velocity slip diminishes it. A rise in magnetic field intensity and Cason fluid parameters decrease the both velocity and temperature profiles.The present problem is of substantial importance in crude oil refinement and biomedical engineering.

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Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel

Cited by 147 publications

References 17 publications

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field

Heat Transfer on Magneto hydrodynamic Peristaltic Flow in a Porous Medium with Partial Slip

MHD Peristaltic Slip Flow of Casson Fluid and Heat Transfer in Channel Filled With a Porous Medium

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