The boundary-layer flow and heat transfer in a viscous fluid containing
metallic nanoparticles over a nonlinear stretching sheet are analyzed. The stretching
velocity is assumed to vary as a power function of the distance from the origin. The
governing partial differential equation and auxiliary conditions are reduced to coupled
nonlinear ordinary differential equations with the appropriate corresponding auxiliary
conditions. The resulting nonlinear ordinary differential equations (ODEs) are solved
numerically. The effects of various relevant parameters, namely, the Eckert number Ec,
the solid volume fraction of the nanoparticles φ, and the nonlinear stretching parameter
n are discussed. The comparison with published results is also presented. Different types
of nanoparticles are studied. It is shown that the behavior of the fluid flow changes with
the change of the nanoparticles type

The steady laminar combined convective flow with heat and mass transfer of a Newtonian viscous incompressible fluid over a permeable flat plate with linear hydrodynamic and thermal slips has been investigated numerically. The velocity of the external flow, the suction/injection velocity and the temperature of the plate surface are assumed to vary nonlinearly following the power law with the distance along the plate from the origin. Lie group analysis is used to develop the similarity transformations and the governing momentum, the energy conservation and the mass conservation equations are converted to a system of coupled nonlinear ordinary differential equations with the associated boundary conditions. The resulting equations are solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method. The effects of hydrodynamic slip parameter (a), thermal slip parameter (b), suction/injection parameter (fw), power law parameter (m), buoyancy ratio parameter (N), Prandtl number (Pr) and Schmidt number (Sc) on the fluid flow, heat transfer and mass transfer characteristics are investigated and presented graphically. We have also shown the effects of the Reynolds number (Re) and the power law parameter (m) on the velocity slip and the thermal slip factors. Good agreement is found between the numerical results of the present paper and published results

The problem of viscous flow & heat transfer over a 2-D steady free convection boundary layer from a vertical surface is studied taking into account slip boundary conditions & exponential decay internal heat generation on variation of fluid viscosity with temperature. The governing equations of the problem are steady reduced to couple non-linear moment & the energy equation to be similar by introducing suitable similarity transformation. Dimensionless velocity and temperature profiles are presented graphically for various values of Prandtl number()Pr, velocity slip parameter ()a & temperature slip parameter ()b with & without internal heat generation. Velocity gradient & temperature gradient are also discussed & are given in tables

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