Hydromagnetic flow of fluid with variable viscosity in a uniform tube with peristalsis

SUMMARY In this work, we studied the peristaltic flow of a Jeffrey‐six constant fluid in a uniform tube. The governing equations of the Jeffrey‐six constant fluid were simplified by using the assumptions of long wave length and low Reynolds number approximation. The simplified form of equations were solved using the perturbation, homotopy analysis and finite difference methods. The comparison of the three solutions are shown graphically. The variation of pressure rise and frictional forces with the different parameters were also examined numerically. Results are presented at the end of the article. Copyright © 2011 John Wiley & Sons, Ltd.

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“…In this section, we have found the homotopy analysis method (HAM) solution of Equations (15)- (18) . For that we choose…”

Section: Homotopy Analysis Methods Solutionmentioning

confidence: 99%

Peristaltic flow of a Jeffrey‐six constant fluid in a uniform inclined tube

Nadeem

Akbar

Malik

et al. 2011

Numerical Methods in Fluids

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“…Now we assume that a magnetic field B = (0, 0, B 0 ) with a constant magnetic flux density B 0 is applied orthogonal to the channel. Neglecting the induced magnetic field under the assumption that the magnetic Reynolds number is small, we get from (6)…”

Section: Problem Formulationmentioning

confidence: 99%

“…In addition, peristaltic pumping occurs in many practical applications involving bio-mechanical systems. The peristaltic flows can be divided to Newtonian and non-Newtonian flows that have been reported analytically, numerically, and experimentally by a number of researchers [1][2][3][4][5][6][7][8][9][10][11]. Although most prior studies of peristaltic transport have focused on Newtonian fluids, there are also studies involving non-Newtonian fluids [12][13][14][15][16][17][18][19][20] i.e.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic Pumping of Johnson-Segalman Fluid in an Asymmetric Channel under the Effect of Hall and Ion-Slip Currents

Nowar¹,

Abo-Eldahab²,

Barakat³

2012

J Appl Computat Math

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The influences of Hall and ion-slip currents on peristaltic transport of Johnson-Segalman fluid in an asymmetric channel are investigated theoretically and graphically. The problem is formulated using a perturbation method. The solutions have been derived for axial velocity, axial pressure gradient and pressure rise. It has been noticed that the axial pressure gradient is not affected by increasing any of Hall or ion-slip parameters, while the time average flux decreases by increasing any of them. The effects of various emerging parameters on the axial pressure gradient and the pumping characteristics are discussed and plotted.

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“…It may be noted here that the flow is completely symmetrical about the axial coordinate Z . From Siddiqui et al [23] and Abd El Hakeem Abd El Naby et al [20], [29] equations of motion and boundary conditions in non-dimensional form are 1 (ru) w 0, r r z…”

Section: Formulation and Analysismentioning

confidence: 99%

“…El Shehawey and Husseny [19] studied the peristaltic transport of a viscous incompressible conducting fluid under the effect of transverse magnetic field bounded by two porous plates. Abd El Hakeem Abd El-Naby et al [20] studied peristaltic motion of an incompressible Newtonian fluid with variable viscosity subjected to a constant magnetic field. Abd El Hakeem Abd El Naby et al [21] studied the effects of a magnetic field on trapping through peristaltic motion for Carreau fluid in channel.…”

Section: Introductionmentioning

confidence: 99%

Hydro‐magnetic Flow Effects in Uniform Tube Through Peristaltic Motion for Generalized Newtonian Fluid on Trapping

Naby

Kareem

2007

Multidiscipline Modeling in Materials and Structures

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The peristaltic motion for Carreau fluid by means of an infinite train of sinusoidal waves traveling along the walls of a circular cylindrical flexible tube is investigated. The fluid is subjected to a constant transverse magnetic field. A perturbation solution is obtained for the case in which Weissenberg number is small. The effects of Hartmann number, Weissenberg number, power-law index and amplitude ratio on the pressure rise and the friction force are discussed. The trapping limit and the trapping occurrence region at the centerline decrease by increasing Hartmann number but they are independent approximately of Weissenberg number and power-law index.

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Hydromagnetic flow of fluid with variable viscosity in a uniform tube with peristalsis

Cited by 40 publications

References 18 publications

Peristaltic flow of a Jeffrey‐six constant fluid in a uniform inclined tube

Peristaltic flow of a Jeffrey‐six constant fluid in a uniform inclined tube

Peristaltic Pumping of Johnson-Segalman Fluid in an Asymmetric Channel under the Effect of Hall and Ion-Slip Currents

Hydro‐magnetic Flow Effects in Uniform Tube Through Peristaltic Motion for Generalized Newtonian Fluid on Trapping

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