Hydromagnetic flow of generalized Newtonian fluid through a uniform tube with peristalsis

Naby, Abd El Hakeem Abd El; Misiery, A. E. M. El; Shamy, Ibrahim El

doi:10.1016/j.amc.2005.04.020

Cited by 14 publications

(3 citation statements)

References 16 publications

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“…Hayat et al [3][4][5][6] further studied the peristaltic flow of the Jeffrey fluid under the effect of a magnetic field. Recently, several investigators [7][8][9][10][11][12][13][14][15][16][17][18][19][20] studied the effects of magnetic field on peristaltic flows. However, no one has shown interest in reflux and mechanical efficiency.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube

Tripathi

Ali

Hayat

et al. 2011

Appl. Math. Mech.-Engl. Ed.

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The present investigation studies the peristaltic flow of the Jeffrey fluid through a tube of finite length. The fluid is electrically conducting in the presence of an applied magnetic field. Analysis is carried out under the assumption of long wavelength and low Reynolds number approximations. Expressions of the pressure gradient, volume flow rate, average volume flow rate, and local wall shear stress are obtained. The effects of relaxation time, retardation time, Hartman number on pressure, local wall shear stress, and mechanical efficiency of peristaltic pump are studied. The reflux phenomenon is also investigated. The case of propagation of a non-integral number of waves along the tube walls, which are inherent characteristics of finite length vessels, is also examined.

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Section: Introductionmentioning

confidence: 99%

Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube

Tripathi

Ali

Hayat

et al. 2011

Appl. Math. Mech.-Engl. Ed.

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“…Agrawal and Anwaruddin [17] have considered the MHD peristaltic transport of blood under the long wavelength approximation. Much effort has since been devoted to examining the MHD of the peristaltic transport of fluids in the absence of an induced magnetic field [18][19][20][21][22][23][24][25][26][27][28]. Investigations of the effects of induced magnetic field on the peristaltic motion of couple stress, micropolar, and third order fluids have, however, recently been reported [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Peristaltic motion of Phan–Thien–Tanner fluid in the presence of slip condition

2011

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This investigation considers the peristaltic flow of a Phan-Thien-Tanner fluid in the presence of slip condition and induced magnetic field. By use of the long wavelength and low Reynolds number approximations, closed form series solutions for stream function, pressure gradient, magnetic force function, axial induced magnetic field, and current density were obtained. The pressure gradient and frictional forces per wavelength were computed by numerical integration. The velocity slip condition in terms of shear stress is taken into account. Graphical results show the comparison between no-slip and viscous fluid cases. Pumping and trapping phenomena are discussed.

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“…He concludes that by increasing MHD, the bolus exists and fluid particle is moving along the wave wall. El Naby et al (2006) investigate the hydromagnetic peristaltic flow of Newtonian fluid through a uniform tube. They concluded that pressure rise per wavelength increases in the pumping region by increasing Hartmann number and amplitude ratio.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of hydromagnetic axisymmetric peristaltic flow at high Reynolds number and wave number

Hamid

Javed²,

Ali

2019

Biophys Rev

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The computational study of MHD peristaltic motion is investigated for axisymmetric flow problem. The developed model is present in the form of partial differential equations. Then obtained partial differential equations are transferred into streamvorticity (ψ − ω) form. Then Galerkin Finite element method is used to find the computational results of governing problem. The current study is compared with the existing well-known results at low Reynolds number and wave number. It is revealed that the present results are in well agreement with existing results in the literature. So, it is effective for higher values of Reynolds number and wave number. The variations of streamline are present graphically against high Reynolds number. It concludes that high Reynolds number and Hartmann number increase pressure rise per unit wavelength in positive pumping region sharply.

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Hydromagnetic flow of generalized Newtonian fluid through a uniform tube with peristalsis

Cited by 14 publications

References 16 publications

Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube

Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube

Peristaltic motion of Phan–Thien–Tanner fluid in the presence of slip condition

Numerical study of hydromagnetic axisymmetric peristaltic flow at high Reynolds number and wave number

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