MHD Oscillatory Flow of Jeffrey Fluid in an Indented Artery with Heat Source (original) (raw)

Influence of mixed convection on blood flow of Jeffrey fluid through a tapered stenosed artery

Thermal Science, 2013

Effect of heat and mass transfer on the blood flow through a tapered artery with stenosis is examined assuming blood as Jeffrey fluid. The governing equations have been modelled in cylindrical coordinates. Series solutions are constructed for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Attention has been mainly focused to the analysis of embedded parameters in converging, diverging and non-tapered situations.

Influence of heat and chemical reactions on Walter's B fluid model for blood flow through a tapered artery

Journal of the Taiwan Institute of Chemical …, 2010

... and Et Kot, 2008] , [Sankar and Hemalatha, 2006] and [Sankar and Lee, 2009] ). Recently, heat transfer analysis have been received the attention ( [Nadeem and Akbar, 2009a] , [Nadeem and Akbar, 2009b] , [Nadeem and Akbar, 2009c] , [Srinivas and Gayathri, 2009] , [Srinivas ...

Modeling of Blood Flow through Stenosed Artery with Heat in the Presence of Magnetic Field

Asian Research Journal of Mathematics

An investigation of an oscillatory blood flow in an indented artery with heat source in the presence of magnetic field was carried out. The formulated governing models are solved using Frobenius method where the solutions are transformed into Bessel functions 0 () I r β and 0 () K r β of order zero of the first and second kind. The computational results are presented graphically for the velocity profile (,) w r t , the temperature profile () r θ. The study reveals that the blood flow is appreciably influenced by the presence of a magnetic field and also by the value of the Grashof Gr number. It is observed that the presence of the magnetic field M retards the velocity profile as well as the flow rate; the Grasof number Gr causes an increment in the velocity profile which is consistent with the existing laws of physics. Furthermore, the radiation parameter Rd does affect the velocity profile which means, it

Computational modeling of MHD flow of blood and heat transfer enhancement in a slowly varying arterial segment

International Journal of Heat and Fluid Flow, 2018

We have developed a computational model to investigate the unsteady flow of blood and heat transfer characteristics through a sinusoidally varying arterial segment under magnetic environment. Direct numerical simulation has been performed by employing stream function-vorticity formulation followed by a coordinate transformation. The transformed governing equations have been solved using the finite difference scheme by developing Peaceman-Rachford Alternating Direction Implicit (P-R ADI) method. The results show that the rate of heat transfer diminishes with a rise in the magnetic field strength, whereas the trait is reversed in the case of Reynolds number and amplitude of wavy vessel. The skin-friction is high for greater values of amplitude of oscillation of arterial wall. An interesting result can be documented that the Nusselt number has decreasing effect with magnetic field strength at higher Reynolds number, while it increases when Reynolds number is low.

Flow characteristics of MHD oscillatory two-phase blood flow through a stenosed artery with heat and mass transfer

arXiv: Fluid Dynamics, 2017

In blood, the concentration of red blood cells varies with the arterial diameter. In the case of narrow arteries, red blood cells concentrate around the center of the artery and there exists a cell-free plasma layer near the arterial wall due to Fahraeus-Lindqvist effect. Due to non-uniformity of the fluid in the narrow arteries, it is preferable to consider the two-phase model of the blood flow. The present article analyzes the heat and mass transfer effects on the two-phase model of the unsteady pulsatile blood flow when it flows through the stenosed artery under the effects of radiation and chemical reaction. The direction of the artery is assumed to be vertical and the magnetic field is applied along the radial direction of the artery. We assume that the value of the shear stress is high enough so that nature of blood can be modeled as Newtonian in both erythrocytes suspended core region as well as RBC-depleted plasma region. We derive a mathematical model for the mixed convecti...

ON THE SOLUTION OF BLOOD FLOW MODEL USING BESSEL FUNCTION

Undergraduate Thesis, 2018

The research involves an analytical examination of Navier-Stokes equation concerning the unsteady-state laminar flow of an incompressible (Newtonian) fluid in an infinitely long horizontal circular pipe spinning about its symmetry axis, say z, and inside which the liquid motion starts with an axial velocity component as well. Basic physical assumptions are that the pressure axial gradient keeps itself on its hydrostatic value and that no radial velocity exists. In such a way the Navier-Stokes PDEs become uncoupled and can be faced separately. We succeed in computing the unsteady speed components along the axial direction by means of Bessel function and its properties, in which we obtained the exact solution using MATLAB. Following this, we obtained the velocity profile that describes the flow rate alongside the shear stress at the wall and we observed that the velocity and shear stress profile provides an accurate analysis with small time duration that includes impulse loads such as oscillation flow of blood in an artery.

MATHEMATICAL ANALYSIS OF UNSTEADY MHD BLOOD FLOW THROUGH PARALLEL PLATE CHANNEL WITH HEAT SOURCE

A mathematical model of flimsy blood move through parallel plate channel under the action of a connected steady transverse attractive field is proposed. The model is subjected to warm source. Expository articulations are gotten by picking the hub speed; temperature dispersion and the typical speed of the blood rely upon y and t just to change over the arrangement of fractional differential conditions into an arrangement of normal differential conditions under the conditions characterized in our model. The model has been breaking down to discover the impacts of different parameters, for example, Hart-mann number, warm source parameter and Prandtl number on the hub speed, temperature circulation, and the ordinary speed. The numerical arrangements of pivotal speed, temperature conveyances, and typical speed are demonstrated graphically for better comprehension of the issue. Subsequently, the present numerical model gives a straightforward type of pivotal speed, temperature circulation and typical speed of the bloodstream so it will help not just individuals working in the field of Physiological liquid elements yet in addition to the restorative professionals.

Effect of Heat Transfer on MHD Blood Flow Through an Inclined Stenosed Porous Artery with Variable Viscosity and Heat Source

2018

In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous artery with heat source have been investigated. The viscosity of the blood is assumed to be varying radially with hematocrit throughout the region of the artery. Governing equations have been derived by treating blood as incompressible magnetohydrodynamic (MHD) Newtonian fluid. Momentum and energy equations of the fluid flow are simplified under the assumption of mild stenosis. Homotopy perturbation method (HPM) is used to solve nonlinear differential equations for velocity and temperature profiles of the blood flow. Variation of flow rate and shear stress for different values of inclination angle and hematocrit parameter along the diseased part of artery have been plotted graphically. For having the adequate insight of the flow pattern in the diseased artery, velocity contours have been plotted for different values of the height of the stenosis and for different inclination angles of the ...

MHD blood flow and heat transfer through an inclined porous stenosed artery with variable viscosity

2016

In this article, effects of heat transfer on MHD blood flow through a stenosed inclined porous artery with heat source have been investigated. The viscosity of the blood is assumed to be varying radially with hematocrit throughout the region of the artery. Governing equations have been derived by treating blood as incompressible magnetohydrodynamic (MHD) Newtonian fluid. Momentum and energy equations of the fluid flow are simplified under the assumption of mild stenosis. Homotopy perturbation method (HPM) is used to solve nonlinear differential equations for velocity and temperature profiles of the blood flow. Variation of flow rate and shear stress for different values of inclination angle and hematocrit parameter along the diseased part of artery have been plotted graphically. For having the adequate insight of the flow pattern in the diseased artery, velocity contours have been plotted for different values of the height of the stenosis and for different inclination angles of the ...

Effects of heat transfer on MHD flow of blood through an inclined porous artery with stenosis having variable viscosity

arXiv: Fluid Dynamics, 2016

In this paper, effects of heat transfer on the blood flow through a stenosed, inclined non-tapered porous artery subject to the action of external magnetic field is investigated. Viscosity is assumed as variable viscosity with variable Hematocrit throughout the region of the artery. Governing equations have been modeled by taking blood as incompressible magnetohydrodynamic (MHD) Newtonian fluid. The energy equation is formulated by taking an extra factor of the heat source in its equation. The nonlinear momentum equations are simplified under the assumption of mild stenosis. Homotopy perturbation method (HPM) is used to solve nonlinear equations of velocity and temperature profiles. Effects of porosity parameter (Z), applied magnetic field parameter (M), variable hematocrit parameter(Hr), Brinkman number (Br), heat source parameter (Q) and the Grashof number (Gr) on velocity and temperature profiles are discussed graphically.