The present pagination reports both Brownian diffusion and thermophoresis aspects subject to magnetohydrodynamic Williamson fluid model. Assuming the flow is unsteady and blood is treated as Williamson fluid over a wedge with radiation. The governing equations are transformed into ordinary differential equations by using similarity variables. The numerical solutions of the transformed governing equations are obtained by using the RK 4th order method along with shooting technique solver. The effects of various physical parameters such as Hartmann number, local Weissenberg number, radiation parameter, unsteadiness parameter, Prandtl number, Lewis number, Brownian diffusion, thermophoresis, wedge angle parameter, moving wedge parameter, on velocity, temperature, concentration, skin friction, heat transfer rate and mass transfer rate have been discussed in detail. The velocity and temperature profile deprives for larger We and an opposite trend is observed for concentration. The radiation parameter is propositional to temperature and a counter behavior is observed for Pr. © 2019 Beihang University

Bala Anki Reddy Pol

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Subbarayudu K

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

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VIT University

Propulsion and Power Research

Present work aims to investigate the blood stream in a permeable vessel in the presence of an external magnetic field with heat and mass transfer. The instability in the coupled flow and temperature fields is considered to be produced due to the time-dependent extending velocity and the surface temperature of the vessel. The non-uniform heat source/sink effects on a chemically responded blood stream and heat viscous. This study is of potential value in the clinical healing of cardiovascular disorders accompanied by accelerated circulation. The problem is treated mathematically by reducing it to a system of joined non-linear differential equations, which have been solved by utilizing similarity transformation and boundary layer approximation. The resultant non-linear coupled ordinary differential equations are solved numerically by utilizing the fourth order Runge-Kutta method with shooting technique. Computational results are gotten for the velocity, temperature, the skin-friction coefficient, the rate of heat transfer and rate of mass transfer in the vessel. The evaluated results are compared with another analytical study reported earlier in scientific literatures. The present investigation exposes that the heat transfer rate is upgraded as the value of the unsteadiness parameter increases, but it decreases for the increment of the space reliance parameter for heat source/sink. © 2018, Global Digital Central. All rights reserved.

Frontiers in Heat and Mass Transfer

MAGNETOHYDRO DYNAMIC FLOW OF BLOOD IN A PERMEABLE INCLINED STRETCHING SURFACE WITH VISCOUS DISSIPATION, NON-UNIFORM HEAT SOURCE/SINK AND CHEMICAL REACTION

This paper focuses on a theoretical analysis of a steady two-dimensional magnetohydrodynamic boundary layer flow of a Maxwell fluid over an exponentially stretching surface in the presence of velocity slip and convective boundary condition. This model is used for a nanofluid, which incorporates the effects of Brownian motion and thermophoresis. The resulting non-linear partial differential equations of the governing flow field are converted into a system of coupled non-linear ordinary differential equations by using suitable similarity transformations, and the resultant equations are then solved numerically by using Runge-Kutta fourth order method along with shooting technique. A parametric study is conducted to illustrate the behavior of the velocity, temperature and concentration. The influence of significant parameters on velocity, temperature, concentration, skin friction coefficient and Nusselt number has been studied and numerical results are presented graphically and in tabular form. The reported numerical results are compared with previously published works on various special cases and are found to be an in excellent agreement. It is found that momentum boundary layer thickness decreases with the increase of magnetic parameter. It can also be found that the thermal boundary layer thickness increases with Brownian motion and thermophoresis parameters. © 2017 National Laboratory for Aeronautics and Astronautics

Numerical study of magnetohydrodynamics (MHD) boundary layer slip flow of a Maxwell nanofluid over an exponentially stretching surface with convective boundary condition

An analysis is performed to study the unsteady hydromagnetic heat and mass transfer of blood in a time-dependent porous narrow blood vessel over a permeable inclined stretching surface under slip conditions. The unsteadiness in the flow, temperature and concentration fields is caused by the time dependence of the stretching velocity, surface temperature and the surface concentration. Thermal radiation, chemical reaction, velocity slip, thermal slip and concentration slips are considered. Similarity transformations are used to convert the governing time-dependent non-linear boundary layer equations for momentum, heat equation and species equations into a system of ordinary differential equations. The resulting non-linear coupled differential equations are solved numerically by using fourth order Runge–Kutta scheme together with shooting method. The influence of pertinent parameters on velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number has been studied and numerical results are presented graphically and in tabular form. Comparisons with previously published work are performed and the results are found to be in excellent agreement.

Journal of Mechanics in Medicine and Biology

EFFECTS OF CHEMICAL REACTION AND THERMAL RADIATION ON MHD FLOW OVER AN INCLINED PERMEABLE STRETCHING SURFACE WITH NON-UNIFORM HEAT SOURCE/SINK: AN APPLICATION TO THE DYNAMICS OF BLOOD FLOW

Journal	Data powered by TypesetPropulsion and Power Research
Publisher	Data powered by TypesetElsevier BV
ISSN	2212-540X
Open Access	Yes