Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration

Eldesoky, Islam M.

doi:10.1155/2012/860239

Cited by 45 publications

(46 citation statements)

References 20 publications

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“…We assume that the magnetic Reynolds number of the flow is taken to be small enough, so that the induced magnetic and electric field can be neglected. We consider the flow as axially symmetric, pulsatile and fully developed as [22] …”

Section: Mathematical Formulationmentioning

confidence: 99%

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Eldesoky¹,

Kamel²,

Hussien³

et al. 2013

IJMMM

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Abstract-The I. INTRODUCTIONMHD viscous flow though pipes plays significant role in different areas of science and technology such as Petroleum industry, Biomechanics, Drainage and Irrigation engineering and so on. The investigations of blood flow through arteries are of considerable importance in many cardiovascular diseases particularly atherosclerosis. The pulsatile flow of blood through an artery has drawn the attention to the researchers for a long time due to its great importance in medical sciences. Under normal conditions, blood flow in the human circulatory system depends upon the pumping action of the heart and this produces a pressure gradient throughout the arterial network [1], [2]. During the last decades extensive research work has been done on the fluid dynamics of biological fluids in the presence of magnetic field. The flow of a conducting fluid in a circular pipe has been investigated by many authors [3]- [5]. References [6], [7] have studied steady viscous incompressible flow through  Manuscript

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Section: Mathematical Formulationmentioning

confidence: 99%

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Eldesoky¹,

Kamel²,

Hussien³

et al. 2013

IJMMM

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“…Eldesoky [9] studied the slip effect of unsteady magnetic field on pulsatile blood flow through porous medium in an artery under the effect of body acceleration. Bali and Awasthi [10] studied the Newtonian blood flow through the tapered arteries.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Flow Characteristics of the Blood Flowing through an Inclined Tapered Porous Artery with Mild Stenosis under the Influence of an Inclined Magnetic Field

Srivastava

2014

Journal of Biophysics

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Analytical investigation of MHD blood flow in a porous inclined stenotic artery under the influence of the inclined magnetic field has been done. Blood is considered as an electrically conducting Newtonian fluid. The physics of the problem is described by the usual MHD equations along with appropriate boundary conditions. The flow governing equations are finally transformed to nonhomogeneous second-order ordinary differential equations. This model is consistent with the principles of magnetohydrodynamics. Analytical expressions for the velocity profile, volumetric flow rate, wall shear stress, and pressure gradient have been derived. Blood flow characteristics are computed for a specific set of values of the different parameters involved in the model analysis and are presented graphically. Some of the obtained results show that the flow patterns in converging region (ξ < 0), diverging region (ξ > 0), and nontapered region (ξ = 0) are effectively influenced by the presence of magnetic field and change in inclination of artery as well as magnetic field. There is also a significant effect of permeability on the wall shear stress as well as volumetric flow rate.

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“…The boundary conditions relevant to flowing fluids are very important in predicting fluid flows in many applications. The fluids that exhibit boundary slip have important technological applications such as in polishing valves of artificial heart and internal cavities [8]. For many fluids, such as particulate fluids, the motion is still governed by the Navier-Stokes equations, but the usual no-slip condition at the boundary should be replaced by the slip condition Beavers and Joseph [9].…”

Section: Introductionmentioning

confidence: 99%

“…Many researchers studied the effect of slip velocity at the permeable boundaries [2][3][4]. Recently, Eldesoky [8] investigated the unsteady pulsatile flow of blood through porous medium in an artery under the influence of periodic body acceleration and slip condition in the presence of magnetic field considering blood as an incompressible electrically conducting fluid.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Pulsatile Blood Flow through Porous Medium in a Stenotic Channel with Slip at the Permeable Walls Subjected to Time Dependent Velocity (Injection/Suction)

Eldesoky

2014

The International Conference on Mathematics and Engineering Phy

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The flow through porous boundaries is of great importance both in technological as well as biophysical flows. The present paper is concerned with the study of unsteady pulsatile flow of blood through porous medium in a time dependent constricted porous channel subjected to time dependent suction/injection at the walls of the channel. The blood flow is subjected to a constant transverse magnetic field considering blood as an incompressible electrically conducting fluid. Due to the permeability of the arterial wall the no slip condition at the wall is no longer valid and one has to consider a slip condition at the channel wall. It was obliviously better and more realistic approach to obtain the flow behaviors. Perturbation analysis is used to solve the system of equations governing the flow. With a view to illustrating the applicability of the mathematical model developed here the analytic explicit expressions of axial velocity, volumetric flow rate and wall shear stress are obtained. The computed numerical results are presented graphically for different values of the physical parameters of interest to depict the variations in axial velocity, volumetric flow rate and wall shear stress.

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Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration

Cited by 45 publications

References 20 publications

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Analysis of Flow Characteristics of the Blood Flowing through an Inclined Tapered Porous Artery with Mild Stenosis under the Influence of an Inclined Magnetic Field

Unsteady MHD Pulsatile Blood Flow through Porous Medium in a Stenotic Channel with Slip at the Permeable Walls Subjected to Time Dependent Velocity (Injection/Suction)

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