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

Abstract

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

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

“…Numerical results of the unsteady pulsatile blood flow through porous medium in the presence of magnetic field with periodic body acceleration and slip condition through a rigid straight circular tube (artery) have been studied. It is of interest to note est to note that the result of the present model includes results of different mathematical models such as:  The results of Eldesoky [32] have been recovered,  The results of Eldesoky, Kamel, Reda, and Abumandour [39] have been recovered by taking Knudsen number k n = 0.0 (no slip condition),  The results of Megahed et al [45], have been recovered by taking Knudsen number kn = 0.0 (no slip condition),  the results of Kamel and El-Tawil [43] have been recovered by taking Knudsen number kn = 0.0 (no slip condition), the permeability of porous medium k → ∞ without stochastic and nobody acceleration,  The results of El-Shahed [44] have been recovered by taking Knudsen number kn = 0.0 (no slip condition) and Hartmann number Ha = 0.0 (no magnetic field),  The results of Chaturani and Palanisamy [42] have been recovered by taking Knudsen number kn = 0.0 (no slip condition), the permeability of porous medium k → ∞ and Hartmann number Ha = 0.0 (no magnetic field). It is possible that a proper understanding of interactions of body acceleration with blood flow may lead to a therapeutic use of controlled body acceleration.…”

Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method

“…e proposed technique presented is based on the GDQM to solve the nonlinear problems. e GDQ method has been applied successfully in our team work for solutions of a variety of problems such as in fluid mechanics [27,28] and structural analysis [18,21]. In addition, several researchers are interested in other various problems such as Chen and Cheung [29], Fung [30,31], Shu et al [32], and Liu and Wang [33].…”

Computational model on pulsatile flow of blood through a tapered arterial stenosis with radially variable viscosity and magnetic field

“…Ikbal et al [36] investigated *For correspondence mathematical model on non-Newtonian flow of blood through a stenosed artery in the presence of a transverse magnetic field by treating blood as a power-law fluid. The unsteady nature of blood flow has been further studied by Mustapha et al [37] and Eldesoky et al [38].…”