Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation

The steady two-dimensional MHD stagnation point flow towards a stretching sheet with variable surface temperature is investigated. The governing system of partial differential equations are transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters on the flow field and heat transfer characteristics are obtained and discussed. It is found that the heat transfer rate at the surface increases with the magnetic parameter when the free stream velocity exceeds the stretching velocity, i.e. e > 1 , and the opposite is observed when e 1 .

MHD stagnation point flow towards a stretching sheet

The steady two-dimensional stagnation point flow of an incompressible viscous and electrically conducting fluid, subject to a transverse uniform magnetic field, towards a stretching sheet is investigated. The governing system of partial differential equations are transformed to ordinary differential equations, which are then solved numerically using a finite difference scheme known as the Keller-box method. The effects of the governing parameters on the flow field and heat transfer characteristics are obtained and discussed. It is found that the heat transfer rate at the surface increases with the magnetic parameter when the free stream velocity exceeds the stretching velocity, i.e. e>1, and the opposite is observed when e<1.

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MHD stagnation-point flow towards a stretching sheet with prescribed surface heat flux

Aim of the paper is to investigate effects of variable thermal conductivity and heat source/sink on flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a non-conducting stretching sheet. The equations of continuity, momentum and energy are transformed into ordinary differential equations and solved numerically using shooting method. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically and their numerical values for various values of physical parameter are presented through Tables.

https://jafmonline.net/JournalArchive/download?file_ID=15226

Effects of variable thermal conductivity and heat source/sink on mhd flow near a stagnation point on a linearly stretching sheet

Magnetohydrodynamic (MHD) flow and heat transfer due to a stretching cylinder

This paper considers the boundary layer heat transfer in a two-dimensional Newtonian fluid flow caused by a porous and linearly stretching sheet in the presence of blowing/suction. The thermal conductivity is assumed to vary linearly with temperature as is found in liquid metals. The resulting nonlinear energy equation forms a boundary value problem which is solved by a shooting method. A perturbation method is also used to derive a set of uncoupled, linear boundary value problems which are solved by superposition of solutions.

Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet

This paper presents solutions of the energy equation for the boundary layer flow of an electrically conducting fluid under the influence of a constant transverse magnetic field over a linearly stretching non-isothermal flat sheet. Effects due to dissipation, stress work and heat generation are considered. Analytical solutions of the resulting linear nonhomogeneous boundary value problems, expressed in terms of Kummer's functions, are presented for the case of prescribed surface temperature as well as the case of prescribed wall heat flux, both of which are assumed to be quadratic functions of distance. The boundary value problems are also solved by direct numerical integration yielding results in excellent agreement with the analytical solutions.

Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet

A numerical solution is presented for the time-independent laminar boundary flow past a flat surface in the presence of an exponentially decreasing velocity distribution in the streamwise direction. The effect of suction on the position of separation is also studied. This work supplements the analytical study of Curle.

A numerical solution for the laminar boundary layer flow with an exponentially decreasing velocity distribution

The steady two-dimensional incompressible flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field of the formH0x(m−1)/2 and under the influence of a pressure gradient is considered. The resulting similarity equation is first converted into a different form using Crocco variables and then solved by choosing a suitable profile for the dependent variable. The results are compared with those obtained by direct numerical integration of the original differential equation. The energy equation for a special case for which similarity solutions exist is also considered.

T. C. Chiam

Papers

Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet

Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet

A numerical solution for the laminar boundary layer flow with an exponentially decreasing velocity distribution

Solutions for the flow of a conducting power-law fluid in a transverse magnetic field and with a pressure gradient using Crocco variables