Wubshet Ibrahim^∗

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.4

Abstract The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions are initially cast into dimensionless forms by similarity transformation. The resulting system of equations is then solved numerically using fourth order Runge-Kutta More >

M. Y. Abdollahzadeh Jamalabadi^*

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-13, 2015, DOI:10.5098/hmt.6.7

Abstract An analytical study of entropy generation in steady boundary layer flow, heat and mass transfer characteristic of 2D convective flow of a micro polar fluid over a stretching sheet embedded through a highly absorbing medium is performed. The governing equations are continuity, momentum boundary layer, micro rotation, and energy takes into account of Rosseland approximation for thermal radiation sources are solved analytically. The governing system of partial differential equations is first transformed into a system of non-linear ordinary differential equations using similarity transformation. The transformed equations are non-linear coupled differential equations which are then linearized More >

Mitiku Daba^*, P. Devaraj, S. V. Subhashini

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-6, 2015, DOI:10.5098/hmt.6.3

Abstract In the present study, we investigated a problem of steady laminar mixed convection flow over a vertically stretching sheet with partial slip under convective surface boundary condition. The governing partial differential equations of the boundary layer flow are reduced into a set of nonlinear ordinary differential equations using a suitable similarity transformations. The system of non linear ordinary differential equations are solved by the Keller box method. Velocity, temperature and heat transfer rate are analyzed by considering the important parameters: Prandtl number Pr, convective parameter ε, slip parameter K and mixed convection parameter λ on the More >

Krishnendu Bhattacharyya^*

Frontiers in Heat and Mass Transfer, Vol.4, No.2, pp. 1-9, 2013, DOI:10.5098/hmt.v4.2.3003

Abstract The steady boundary layer stagnation-point flow of Casson fluid and heat transfer towards a shrinking/stretching sheet is studied. Appropriate similarity transformations are employed to transform the governing partial differential equations into the self-similar ordinary differential equations and those are then solved numerically using very efficient shooting method. The numerical computations are carried out for several values of parameters involved (especially, velocity ratio parameter and Casson parameter) to know the possibility of similarity solution for the boundary layer stagnation-point flow. It is found that the range of velocity ratio parameter for which similarity solution exists is More >

R. C. Bataller¹

FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.2, pp. 153-174, 2011, DOI:10.3970/fdmp.2011.007.153

Abstract We present a numerical study of the flow and heat transfer of an incompressible upper-convected Maxwell (UCM) fluid in the presence of an uniform transverse magnetic field over a porous stretching sheet taking into account suction at the surface as well as viscous dissipation and thermal radiation effects. Selected similarity analyses have been carried out by means of a numerical implementation. The effects on the velocity and temperature fields over the sheet of the parameters like elasticity number, suction velocity, magnetic parameter, radiation parameter, Prandtl number and Eckert number are also analyzed. More >

R.C. Bataller¹

FDMP-Fluid Dynamics & Materials Processing, Vol.6, No.3, pp. 337-350, 2010, DOI:10.3970/fdmp.2010.006.337

Abstract The present research gathers an accurate numerical study of the laminar flow induced in an incompressible upper-convected Maxwell (UCM) fluid by a linear stretching of a flat, horizontal and porous sheet in the presence of a transverse magnetic field. The governing partial differential equations are converted into an ordinary differential equation by a similarity transformation. The effects on the velocity field over the sheet of the parameters like elasticity number, suction/blowing velocity, and magnetic parameter are also studied. It has also been attempted to show capabilities and wide-range applications of the 4thorder Runge-Kutta method in More >