Heat Transfer in a MHD Nanofluid Over a Stretching Sheet

The intention behind carrying out this research work is to analyze the heat transfer characteristics in a Magnetohydrodynamic (MHD) boundary layer nanofluid flow over a stretching sheet. Two phase representation of nanofluid studied the consequence of Brownian motion along with thermophoresis. The major purpose of study is to investigate the significant role of prominent fluid parameters thermophoresis, Brownian motion, Eckert number, Schmidt number and magnetic parameter on profile of velocity, temperature distribution and concentration. Runge–Kutta Fehlberg (RKF) method was adopted to numerically solve the non-linear governing equations and the linked boundary conditions by use of shooting technique. Over all the consequence of prominent fluid parameters are explained via graphs, whereas distinction of several valuable engineering quantities like skin friction coefficient, local Nusselt number and local Sherwood number are also tabulated. The finding of present study helps to control the rate of heat transportation as well as fluid velocity in any manufacturing processes and industrial applications to make desired quality of final product

A Study of Temperature-dependent Fluid Properties on MHD Free Stream Flow and Heat Transfer over a Non-Linearly Stretching Sheet

AbstractAn analysis has been done for non-linearly stretching sheet with temperature-dependent fluid properties with free stream mag- netohydrodynamic (MHD) flow. The transverse magnetic field and the stretching velocity are assumed to vary as a power of the distance. The thermal conductivity shows linear variation whereas the fluid viscosity varies inversely with temperature. We have incorporated similarity transformations in our study to mould partial differential equations into non-linear equations. These equations are solved using Runge-Kutta Fehlberg method with the shooting techniques. In the present study, we discuss effects of various fluid parameters on the profiles of velocity and temperature in the presence of free stream. The effect with variations of these parameters has been investigated. We found that the free stream velocity reduces the boundary layer thickness

Stability analysis of MHD outer velocity flow on a stretching cylinder

A study has been done on axisymmetric magnetohydrodynamic (MHD) flow of a viscous incompressible outer velocity fluid along a stretching cylinder. The momentum and heat partial differential equations are mold using similarity transformations into a set of nonlinear ordinary differential equations. These equations have been solved with the help of Runge-Kutta Fehlberg scheme numerically with shooting technique. It is found that the solution is not unique for stretching cylindrical surface. The dual solution exists for a certain range of fluid parameters on stretching surface. The stability analysis shown that the upper branch is a stable solution and the lower branch is a unstable solution. The critical point λc=-0.03211 of outer velocity parameter and the range of the unstable solution -0.03211=λc⩽λ⩽λr=0.1411 have been obtained for certain magnetic parameter. Also, the effects of MHD and outer velocity parameter with various other fluid parameters on heat transfer and flow characteristics have been analyzed and shown by figures and tables. The outcomes show that the outer velocity parameter has a substantial effect on MHD fluid flow in stretching cylindrical surface. Keywords: Stability analysis, MHD, Stretching cylinder, Heat transfer, Outer velocity, Dual solutio