Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel

Numerical Methods Partial

Maqbool

Asghar

2010

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In this article, a mathematical model is analyzed to investigate the effects of Hall current and heat transfer on the flow of a fourth grade fluid between two heated and rotating disks. The corresponding problem of velocity and temperature are solved analytically by homotopy analysis method. Comparison is given between the results of velocity in fourth grade, third grade, second grade, and viscous fluids. The variation of pertinent parameters are graphed and discussed.

Section: Introductionmentioning

confidence: 99%

The influence of Hall current and heat transfer on the flow of a fourth grade fluid

Numerical Methods Partial

Maqbool

Asghar

2010

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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

Appl. Math. Mech.-Engl. Ed.

et al. 2011

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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.

“…It is noted that most of the studies on peristaltic flows dealt with the Newtonian fluids. The complex rheology of biological fluids has motivated investigations involving different non-Newtonian fluids [3][4][5][6][7][8][9][10][11][12][13][14] . Peristaltic flow of non-Newtonian fluids in a tube was studied by Raju and Devanathan [15] , considering blood as a power-law fluid.…”

Section: Introductionmentioning

confidence: 99%

Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls

Appl. Math. Mech.-Engl. Ed.

Javed

2010

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Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are investigated. The rheological characteristics are characterized by the constitutive equations of a power-law fluid. Long wavelength and low Reynolds number approximations are adopted in the presentation of mathematical developments. Exact solutions are established for the stream function and velocity. The streamlines pattern and trapping are given due attention. Salient features of the key parameters entering into the present flow are displayed and important conclusions are pointed out.