MHD flow of an elastico-viscous fluid under periodic body acceleration

Elshehawey, E. F.; Elbarbary, Elsayed M. E.; Afifi, N. A. S.; Elshahed, Mostafa

doi:10.1155/s0161171200002817

Cited by 34 publications

(32 citation statements)

References 4 publications

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“…Reference [18] discussed the flow characteristics of blood under external body acceleration assuming blood to be a Newtonian fluid. References [20], [21] studied the effect of body acceleration in different situations.…”

Section: Introductionmentioning

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: Introductionmentioning

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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“…Recently, Abdelkhalek [8] investigated this problem using a perturbation technique and reported that the imposed magnetic field diminishes the wall shear. The properties of human blood as well as blood vessels and the magnetic field effect were the subjects of interest for several researchers [9][10][11][12]. Very recently, Tashtoush and Magableh [13] considered numerically the influence of a magnetic field on the fluid flow characteristics of blood flow in multistenosis arteries and reported an increase in the skin friction factor.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

2011

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The influence of a magnetic field on the skin friction factor of steady fully-developed laminar flow through a pipe was studied experimentally. A mathematical model was introduced and a finite difference scheme used to solve the governing equations in terms of vorticity-stream function. The model predictions agree favourably with experimental results. It is observed that the pressure drop varies in proportion to the square of the product of the magnetic field and the sine of the magnetic field angle. Also, the pressure drop is proportional to the flow rate. This situation is similar to what applies in the absence of a magnetic field. It is found that a transverse magnetic field changes the axial velocity profile from the parabolic to a relatively flat shape. At first, the radial velocity rises more rapidly and then gradually decreases along the pipe until falling to zero. A numerical correlation can be written for the considerable distance required for the new axial velocity profile to establish. Owing to the changes taking place in the axial velocity profile, it exhibits a higher skin friction factor. The new axial velocity profile asymptotically approaches its limit as the Hartmann number becomes large.

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“…Magnetohydrodynamic (MHD) concept greatly affects the blood flow and it reduces the blood flow rate (see [1,2]). El-Shehawey et al [3] have discussed the MHD flow of an elastico-viscous fluid in the presence of periodic body acceleration. They studied the flow analysis in the absence of electric and induced magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic effects on blood flow through an irregular stenosis

Abdullah

Amin

Hayat

2010

Numerical Methods in Fluids

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SUMMARYThis paper investigates the magnetohydrodynamic (MHD) effects on the blood flow. Rheological properties of blood have been taken into account through the constitutive equations of a micropolar fluid. Unsteady nonlinear differential system is solved numerically by employing finite difference method. Explicit results of axial velocity, flow rate and wall shear stress are obtained and analyzed. It is found that an applied magnetic field reduces the blood flow rate.

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MHD flow of an elastico-viscous fluid under periodic body acceleration

Cited by 34 publications

References 4 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)

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

Magnetohydrodynamic effects on blood flow through an irregular stenosis

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