Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation

An analysis is made to study boundary layer flow and heat transfer over an exponentially shrinking sheet. Using similarity transformations in exponential form, the governing boundary layer equations are transformed into self-similar nonlinear ordinary differential equations, which are then solved numerically using a very efficient shooting method. The analysis reveals the conditions for the existence of steady boundary layer flow due to exponential shrinking of the sheet and it is found that when the mass suction parameter exceeds a certain critical value, steady flow is possible. The dual solutions for velocity and temperature distributions are obtained. With increasing values of the mass suction parameter, the skin friction coefficient increases for the first solution and decreases for the second solution.

https://iopscience.iop.org/article/10.1088/0256-307X/28/7/074701/pdf

Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet

This study analyzes the laminar boundary-layer flow and heat transfer characteristics of a steady, three-dimensional viscous fluid driven by a horizontal surface stretched exponentially in two lateral directions. The simulations in this study assume that the surface temperature is also distributed exponentially and reduce the governing equations to a set of ordinary differential equations using a similarity transformation. This study develops a numerical procedure that combines the Ackroyd method and Runge-Kutta integration scheme to solve the transformed equations. Results show that heat transfer characteristics depend strongly on the stretching ratio, temperature exponent, and Prandtl number.

Flow and heat transfer for three-dimensional flow over an exponentially stretching surface

The problem of the steady magnetohydrodynamic (MHD) stagnation-point flow of an incompressible viscous fluid over a stretching sheet is studied. The effect of an induced magnetic field is taken into account. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. Numerical results are obtained for various magnetic parameters and Prandtl numbers. The effects of the induced magnetic field on the skin friction coefficient, the local Nusselt number, the velocity, and the temperature profiles are presented graphically and discussed in detail.

/pdf/mhd-stagnation-point-flow-and-heat-transfer-towards-41eoqn95yi.pdf

MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field

https://hal.archives-ouvertes.fr/hal-00678884/document

Flow and heat transfer of a third grade fluid past an exponentially stretching sheet with partial slip boundary condition

The thermal boundary layer on an exponentially stretching continuous surface with an exponential temperature distribution in the presence of the magnetic field effect is investigated numerically. The local similarity solution is applied to the governing equations. Comparisons with previously published work are made and the results are found to be in excellent agreement. Numerical results for temperature distribution and the local Nusselt number have been presented for different values of the governing parameters. In particular, it has been found that the magnetic field decreases the temperature difference at the wall of the stretching surface, while the Nusselt number decreases with it.

T. A. Al-Azab

Papers

Thermal boundary layer on an exponentially stretching continuous surface in the presence of magnetic field effect