Peristaltic pumping of a second-order fluid in a planar channel

Siddiqui, A. M.; Provost, Alden M.; Schwarz, W. H.

doi:10.1007/bf00366638

Cited by 55 publications

(43 citation statements)

References 20 publications

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“…The additional boundary condition on stream function can be imposed by prescribing the flow rate at each cross-section as a constant. This assumption yields the following additional boundary conditions 2,7 ψ = 0 at y = 0 and ψ = F at y = h,…”

Section: Solution Of the Problemmentioning

confidence: 99%

Channel flow of Ellis fluid due to peristalsis

2015

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An analysis is carried out to investigate the peristaltic pumping of a non-Newtonian Ellis fluid in a planar channel. The coupled nonlinear partial differential equations governing the problem are simplified under the widely used assumption of long wavelength and low Reynolds number. A semi- analytical approach is adopted to obtain the expressions for stream function, longitudinal velocity, pressure gradient and pressure rise per wavelength. The important characteristics of the peristaltic motion are explained graphically for several values of the material parameter of the Ellis fluid.

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Section: Solution Of the Problemmentioning

confidence: 99%

Channel flow of Ellis fluid due to peristalsis

2015

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“…They have performed a perturbation analysis with a wave number, including curvature and inertia effects and have determined range of validity of their perturbation solutions. The effects of third order fluid on peristaltic transport in a planar channel were studied by Siddiqui et al [19] and the corresponding axisymmetric tube results were obtained by Hayat et al [8]. Haroun [7] studied peristaltic transport of third order fluid in an asymmetric channel.…”

Section: Introductionmentioning

confidence: 96%

“…But such a model cannot be suitable for blood flow unless the non-Newtonian nature of the fluid is included in it. The non-Newtonian peristaltic flow using a constitutive equation for a second order fluid has been investigated by Siddiqui et al [18] for a planar channel and by Siddiqui and Schwarz [20] for an axisymmetric tube. They have performed a perturbation analysis with a wave number, including curvature and inertia effects and have determined range of validity of their perturbation solutions.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic Pumping of Williamson fluid through a porous medium in a horizontal channel with heat transfer

Vasudev¹,

Rao²

2010

AJSIR

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In this paper, we investigated the interaction of heat transfer with peristaltic pumping of a Williamson fluid through a porous medium in a planar channel, under the assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with velocity of the wave. The perturbation series in the Weissenberg number ( 1 We < ) was used to obtain explicit forms for velocity field, pressure gradient and friction force per one wavelength. The effects of Weissenberg numberWe , Darcy number Da and amplitude ratio φ on the pumping characteristics, friction force and heat transfer are discussed with the help of graphs in detail.Keywords: Darcy number, Heat transfer, Peristaltic pumping, Weissenberg number.

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“…The non-Newtonian peristaltic flow using a constitutive equation for a second order fluid has been investigated by [7] for a planar channel and by [8] for an axisymmetric tube. The effects of third order fluid on peristaltic transport in a planar channel were studied by [9] and the corresponding axisymmetric tube results were obtained by [10]. [11] studied peristaltic transport of third order fluid in an asymmetric channel.…”

Section: Introductionmentioning

confidence: 99%

Influence of MHD and Wall Properties on the Peristaltic Transport of a Williamson Fluid with Variable Viscosity Through Porous Medium

2017

ijs

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This paper concerns the peristaltic flow of a Williamson fluid with variable viscosity model through porous medium under combined effects of MHD and wall properties. The assumptions of Reynolds number and long wavelength is investigated. The flow is investigated in a wave frame of reference moving with velocity of the wave. The perturbation series in terms of the Weissenberg number (We <1) was used to obtain explicit forms for velocity field and stream function. The effects of thermal conductivity, Grashof number, Darcy number, magnet, rigidity, stiffness of the wall and viscous damping force parameters on velocity and stream function have been studied.

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Peristaltic pumping of a second-order fluid in a planar channel

Cited by 55 publications

References 20 publications

Channel flow of Ellis fluid due to peristalsis

Channel flow of Ellis fluid due to peristalsis

Peristaltic Pumping of Williamson fluid through a porous medium in a horizontal channel with heat transfer

Influence of MHD and Wall Properties on the Peristaltic Transport of a Williamson Fluid with Variable Viscosity Through Porous Medium

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