Hartmann number

About: Hartmann number is a research topic. Over the lifetime, 2593 publications have been published within this topic receiving 61342 citations.

A numerical model for the magnetohydrodynamic flow of blood in a porous channel

Abstract: Magnetohydrodynamic (MHD) principles may be used to study the flow of arterial blood under the action of an applied magnetic field. Such studies are of potential value in the treatment of cardiovascular disorders that may be associated with accelerated circulation. With an aim to providing a generalized model for studying the flow of blood in an electromagnetic field environment, a numerical model is developed here, by treating blood as a non-Newtonian fluid, the motion of which is taken to be governed by Walter's B-fluid model. The channel flow characteristics of the fluid are studied here, when the channel is porous and is subjected to an external magnetic field. Using the similarity transformation and boundary layer approximations, the associated nonlinear partial differential equations of the problem are reduced to nonlinear ordinary differential equations. These are solved numerically by developing a finite difference scheme. The study provides useful estimates for the influence of Reynolds number Re, Hartmann number M, and viscoelastic parameter K1 on the flow characteristics. It bears the potential to explore some important information about the hemodynamical flow of blood in an artery when it is under the action of an external magnetic field.

Hall Effect on Couple Stress 3D Nanofluid Flow Over an Exponentially Stretched Surface With Cattaneo Christov Heat Flux Model

Abstract: A recent challenging task in the field of nanotechnology is nanofluids, which are potential heat transfer fluids. Numerous researchers worked on nanofluid with different physical conditions. In this research work, we presented the three-dimensional flow of couple stress nanofluid with Hall current, viscous dissipation and Joule heating impacts past an exponentially stretching sheet. The Cattaneo–Christov heat flux model is implemented to examine the thermal relaxation properties. The modeled equations have been transformed to nonlinear ordinary differential equations with the help of correspondence transformations. The homotopy analysis method is used to solve the proposed model. The effect of dimensionless parameters, which are couple stress, Hartmann number, the ratio of rates, and Hall on velocity fields in $x$ - and $y$ -directions has been scrutinized. The rise in Hall parameter, Hartmann number, the ratio of rates parameter, and couple stress parameter are reducing the velocity function in the $x$ -direction. The rise in Hall parameter, Hartmann number, and the ratio of rates parameter are improving the velocity function in the $y$ -direction. The influence of Prandtl number, thermal relaxation time, and temperature exponent on temperature field are presented in this paper. The rise in thermal relaxation parameter, Prandtl number, and temperature exponent are reducing the temperature function. The influence of thermophoresis, the Schmidt number, and Brownian motion on concentration field are presented. The rise in thermophoresis parameter is increasing the concentration function while the rise in Brownian motion parameter and Schmidt number are reducing the concentration function. The impacts of implanted factors on skin friction, Nusselt number, and Sherwood number are accessible through tables. The determined result of skin friction is compared with the previous study.

Homogenous–heterogeneous reactions in MHD flow of Powell–Eyring fluid over a stretching sheet with Newtonian heating

Abstract: This article addresses the effects of homogenous-heterogeneous reactions on electrically conducting boundary layer fluid flow and heat transfer characteristics over a stretching sheet with Newtonian heating are examined. Using similarity transformations, the governing equations are transformed into nonlinear ordinary differential equations. The constricted ordinary differential equations are solved computationally by shooting technique. The impact of pertinent physical parameters on the velocity, concentration and temperature profiles is discussed and explored via figures and tables. It is clear from figures that the velocity profile reduces for large values of fluid parameter B and Hartmann number H. Skin friction coefficient decreases for large values of Hartmann number H and fluid parameter B. Also, heat transfer rate monotonically enhances with conjugate parameter of Newtonian heating γ and Prandtl number Pr.