The problem of viscous flow and heat transfer over an 1-D unsteady free convection boundary layer from vertical surface has been studied by taking slip conditions & variable suction into consideration. The exponential decay with heat generation term was incorporated in the energy equation. The governing equations of the problem the unsteady nonlinear momentum & energy equations are reduced to be similar by introducing a time dependent length scale & by the usual method of similarity transformation. Maple solutions are obtained for a range value of suction parameter()0V, Prandtl number()Pr, velocity slip parameter ()a & temperature slip parameter ()b with & without internal heat generation. Flow & heat transfer characteristics are discussed & are given in figures & tables. Numerical result show that the internal heat generation effects have significant impacts on velocity profiles, temperature profiles & heat transfer rates from vertical surface

The two dimensional steady laminar MHD free convection heat and mass transfer flow over a vertical plate in an incompressible, viscous and electrically conducting fluid is examined considering the wall temperature and concentration distribution proportional to  x utilizing the similarity transformations. The transformed nonlinear boundary layer equations have been obtained by solving the governing equations using numerical technique. Numerical calculations are carried out for different values of dimensionless parameters and an analysis of the results obtained shows that the flow is influenced of magnetic parameter, mixed convection parameter, Lewis, Dufour and Soret number in the fluid. The obtained results are presented graphically and in tabular form.

This article presents the similarity solutions for the steady two-dimensional Falkner–Skan boundary layer flow of a nanofluid over wedge with convective boundary condition. The model used for the nanofluid is the one that incorporates the variable viscosity and nanoparticle volume fraction parameter. Numerical results for the dimensionless velocity and temperature as well as skin friction and Nusselt number are presented graphically for different values of the controlling parameters. Four different types of nanoparticles, namely, copper (Cu), alumina (Al2O3), titania (TiO2) and silver (Ag) as well as two different types of the base fluid, namely, water and ethylene glycol are considered. It is shown that the skin friction and dimensionless heat transfer rate increase with an increase in nanoparticle volume fraction, wedge, viscosity and convective parameters. Comparisons with the published results for the skin friction and Nusselt number are presented and found to be in good agreement

This paper analyses a two-dimensional steady forced convection boundary layer viscous incompressible flow of alumina-water nanofluid over a moving permeable vertical flat plate under the effect of a magnetic field normal to the plate.Thermal convective surface boundary condition is applied.The nanofluid formulated in the present study is water dispersed with various volumetric fractions of the alumina (Al2O3) nanoparticles.The plate velocity and the free stream velocities are considered to be proportional to

We studied the problem of heat transfer for Falkner-Skan boundary layer flow past a stationary wedge with momentum and thermal slip boundary conditions and the temperature dependent thermal conductivity. The governing partial differential equations for the physical situation are converted into a set of ordinary differential equations using scaling group of transformations. These are then numerically solved using the Runge-Kutta-Fehlberg fourth-fifth order numerical method. The momentum slip parameter δ leads to increase in the dimensionless velocity and the rate of heat transfer whilst it decreases the dimensionless temperature and the friction factor. The thermal slip parameter leads to the decrease rate of heat transfer as well as the dimensionless temperature. The dimensionless velocity, rate of heat transfer and the friction factor increase with the Falkner-Skan power law parameter m but the dimensionless fluid temperature decreases with m. The dimensionless fluid temperature and the heat transfer rate decrease as the thermal conductivity parameter A increases. Good agreements are found between the numerical results of the present paper with published results