Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field

Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet

An analysis is made for the steady two-dimensional magneto-hydrodynamic flow of an incompressible viscous and electrically conducting fluid over a stretching vertical sheet in its own plane. The stretching velocity, the surface temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The transformed boundary layer equations are solved numerically for some values of the involved parameters, namely the magnetic parameter M, the velocity exponent parameter m, the temperature exponent parameter n and the buoyancy parameter λ, while the Prandtl number Pr is fixed, namely Pr = 1, using a finite difference scheme known as the Keller-box method. Similarity solutions are obtained in the presence of the buoyancy force if n = 2m−1. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that both the skin friction coefficient and the local Nusselt number decrease as the magnetic parameter M increases for fixed λ and m. For m = 0.2 (i.e. n = −0.6), although the sheet and the fluid are at different temperatures, there is no local heat transfer at the surface of the sheet except at the singular point of the origin (fixed point).

Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet

Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet

In this paper, we present an investigation for the flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium. The Brownian motion and thermophoresis are taken into account according to Rosseland’s approximation. The governing coupled partial differential equations are non-dimensionalized and solved both numerically and analytically by local similarity method. The effects of involved parameters (velocity slip, temperature jump, thermal radiation, Prandtl number, Lewis number, Brownian motion, thermophoresis) on velocity, temperature and concentration profiles are presented graphically and analyzed. Moreover, the numerical results are compared with the analytical solutions obtained by Homotopy analysis method with very good agreement to validate the present results.

Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium

Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity

Heat and mass transfer analysis for boundary layer stagnation-point flow towards a heated porous stretching sheet with heat absorption/generation and suction/blowing

Oscillatory Flow in a Tube with Multiple Constrictions

The flow of conducting fluids through circular pipes having finite conductivity and finite thickness under uniform transverse magnetic fields

Effect of contact resistance on steady MHD flows through circular pipes having constant conductivity and finite wall thickness

Sk. A. Samad

Papers

Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity

Heat and mass transfer analysis for boundary layer stagnation-point flow towards a heated porous stretching sheet with heat absorption/generation and suction/blowing

Oscillatory Flow in a Tube with Multiple Constrictions

The flow of conducting fluids through circular pipes having finite conductivity and finite thickness under uniform transverse magnetic fields

Effect of contact resistance on steady MHD flows through circular pipes having constant conductivity and finite wall thickness