Effect of Magnetic Field on Entropy Generation Due to Laminar Forced Convection Past a Horizontal Flat Plate

Abstract

Magnetic field effect on local entropy generation due to steady two-dimensional laminar forced convection flow past a horizontal plate was numerically investigated. This study was focused on the entropy generation characteristics and its dependency on various dimensionless parameters. The effect of various dimensionless parameters, such as Hartmann number (Ha), Eckert number (Ec), Prandtl number (Pr), Joule heating parameter (R) and the free stream temperature parameter (θ∞) on the entropy generation characteristics is analyzed. The dimensionless governing equations in Cartesian coordinate were solved by an implicit finite difference technique. The solutions were carried out for Ha2=0.5-3, Ec=0.01-0.05, Pr=1-5 and θ∞=1.1-2.5. It was found that, the entropy generation increased with increasing Ha, Ec and R. While, increasing the free stream temperature parameter, and Prandtl number tend to decrease the local entropy generation

Numerical Investigation of Thermal Radiation and Viscous Effects on Entropy Generation in Forced Convection Blood Flow over an Axisymmetric Stretching Sheet

“…The non-dimensional first order differential governing Equation (25) is solved numerically by using Runge-Kutta-Fehlberg method with shooting technique [34] for various finite boundary layer lengths. The results are compared with the solution of Crocco-transformed Equation (36) and plotted in Figure 2. The solution of 1D governing Equations (25) and (26), which can be solved using HAM (Homotopy Analysis Method) analytical techniques, is classified as the parabolic partial differential equations and cannot be considered as a computational fluid dynamics.…”

“…Assuming that both auxiliary parameter and the auxiliary function are properly chosen so that the series is convergent at q = 1, the second approximation is: The governing equation of momentum for the continuous stretching sheet immersed in blood can be solved analytically by use of the Homotopy Analysis Method (HAM). To solve the non-linear equation expressed by Equation (36) and subject to the boundary conditions of Equations (37) and (38). The non-linear operator is defined as follows:…”

“…Entropy generation effects due to flow and heat transfer over stretching flat plates in Cartesian coordinates have been investigated by numerous researchers [31][32][33][34][35][36][37][38]. On the other hand, a smaller number of investigations are considered in collected works concerning the study of entropy generation effects in flow over stretching surfaces in cylindrical coordinates [39,40] in comparison with Cartesian coordinate studies.…”

Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD)

“…There have been many theoretical models developed specifically for entropy generation analysis of MHD boundary layer flow [31][32][33][34][35][36][37]. However, to the best of our knowledge, no investigation has been made yet to not only analyze the entropy generation of the slip MHD flow and heat transfer over permeable continuous moving surface but also to reach a new design of MHD flow over embedded surface microchannels.…”

Viscoelastic MHD flow boundary layer over a stretching surface with viscous and ohmic dissipations

“…Normally increment of such additives to the fluids leads to increasing of the fluid viscosity to alter flow kinematics in such a way that it leads to a slower rate of solidification compared to water. Recently, many researches have been studied on heat transfer of MHD and viscoelastic fluids on the various surfaces [4][5][6][7][8][9]. The electric and magnetic fields are also two of the important parameters to alter the momentum and heat transfer characteristics in a non-Newtonian fluid flow and should also be considered.…”