Peristaltic transport in an asymmetric channel through a porous medium

Numerical Methods in Fluids

Akbar

Hameed

2010

SUMMARYThe influence of temperature-dependent viscosity and magnetic field on the peristaltic flow of an incompressible, viscous Newtonian fluid is investigated. The governing equations are derived under the assumptions of long wavelength approximation. A regular perturbation expansion method is used to obtain the analytical solutions for the velocity and temperature fields. The expressions for the pressure rise, friction force and the relation between the flow rate and pressure gradient are obtain. In addition to analytical solutions, numerical results are also computed and compared with the analytical results with good agreement. The results are plotted for different values of variable viscosity parameter , Hartmann number M, and amplitude ratio . It is found that the pressure rise decreases as the viscosity parameter increases and it increases as the Hartmann number M increases. Finally, the maximum pressure rise ( = 0) increases as M increases and decreases.

Section: S Nadeem N S Akbar and M Hameedmentioning

confidence: 99%

Peristaltic transport and heat transfer of a MHD Newtonian fluid with variable viscosity

Numerical Methods in Fluids

Akbar

Hameed

2010

“…Now the Adomian solution (31) and exact solution (24) are exactly the same in which F i (i = 0-3) are calculated using boundary conditions that are defined in Equation (25).…”

Section: Solution By the Admmentioning

confidence: 99%

Slip effects on the peristaltic flow of a Jeffrey fluid in an asymmetric channel under the effect of induced magnetic field

Numerical Methods in Fluids

Akram

2009

SUMMARYIn the present study, we investigated the effects of slip and induced magnetic field on the peristaltic flow of a Jeffrey fluid in an asymmetric channel. The governing two-dimensional equations for momentum, magnetic force function and energy are simplified by using the assumptions of long wavelength and low but finite Reynolds number. The reduced problem has been solved by Adomian decomposition method (ADM) and closed form solutions have been presented. Further, the exact solution of the proposed problem has also been computed and the mathematical comparison shows that both solutions are almost similar. The effects of pertinent parameters on the pressure rise per wavelength are investigated using numerical integration. The expressions for pressure rise, friction force, velocity, temperature, magnetic force function and the stream lines against various physical parameters of interest are shown graphically. Moreover, the behavior of different kinds of wave shape are also discussed.

“…Such applications include urine transport from kidney to bladder, swallowing food through the esophagus, movement of chyme in the gastrointestinal tract, transport of spermatozoa in the ducts efferentes of the male reproductive tract, movement of ovum in the female fallopian tubes, vasomotion of small blood vessels, transport of slurries, corrosive fluids, sanitary fluids, and noxious fluids in nuclear industry. In view of these applications, a number of researchers have discussed the peristaltic flows involving Newtonian and non-Newtonian fluids with different kinds of geometries [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Very recently, Mekheimer [25] has discussed the effects of the induced magnetic field on peristaltic flow of a couple stress fluid in a slit channel.…”

mentioning

confidence: 99%

Peristaltic flow of a couple stress fluid under the effect of induced magnetic field in an asymmetric channel

Akram

2009

Arch Appl Mech

The present paper investigates the peristaltic transport of a couple stress fluid in an asymmetric channel with the effect of the induced magnetic field. The exact solutions of momentum and the magnetic field equations have been calculated under the assumptions of long wave length and low but finite Reynolds number. The expression for pressure rise has been computed numerically using mathematics software Mathematica. The graphical results have been presented to discuss the physical behavior of various physical parameters of interest. Finally, the trapping phenomena have been discussed for various physical parameters.Keywords Peristaltic flow · Couple stress fluid · Induced magnetic field · Asymmetric channel IntroductionNumerous applications of non-Newtonian fluids in engineering and industry have led to renewed interest among the researchers. Such applications include extraction of crude oil from petroleum products, food mixing and chyme movement in the intestine, flow of plasma, flow of blood, flow of nuclear fuel slurries, flow of liquid metals and alloys, and flow of mercury amalgams. In non-Newtonian fluid models, couple stress fluid model has distinct features, such as polar effects in addition to possessing large viscosity. The theory of couple stress was first developed by Stokes [1] and represents the simplest generalization of classical theory which allows for polar effects such as presence of couple stress and body couples. A number of studies containing couple stress have been investigated in Refs. [2][3][4].Recently, Peristaltic problems have gained a considerable importance because of it applications in physiology, engineering, and industry. Such applications include urine transport from kidney to bladder, swallowing food through the esophagus, movement of chyme in the gastrointestinal tract, transport of spermatozoa in the ducts efferentes of the male reproductive tract, movement of ovum in the female fallopian tubes, vasomotion of small blood vessels, transport of slurries, corrosive fluids, sanitary fluids, and noxious fluids in nuclear industry. In view of these applications, a number of researchers have discussed the peristaltic flows involving Newtonian and non-Newtonian fluids with different kinds of geometries [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Very recently, Mekheimer [25] has discussed the effects of the induced magnetic field on peristaltic flow of a couple stress fluid in a slit channel. According to him, the magnetohydrodynamic flow of a fluid in channel in connection with peristaltic flow has applications in physiological fluids, e.g., the blood, blood pump machines and with the need for theoretical research on the operation of peristaltic MHD compressor. Srivastava and Agrawal [26] and Agrawal and Anwaruddin [27] discussed the effects of MHD on blood flow. Further, the application of magnetic field occurs in the form of a device Magnetic Resonance Imaging (MRI) [28], which is used for diagnosis of brain, vascular diseases, and all the human bo...