In this paper, the problem of unsteady laminar two-dimensional boundary layer flow and heat transfer of an incompressible viscous fluid in the presence of thermal radiation, internal heat generation or absorption, and magnetic field over an exponentially stretching surface subjected to suction with an exponential temperature distribution is discussed numerically. The governing boundary layer equations are reduced to a system of ordinary differential equations. New numerical method using Mathematica has been used to solve such system after obtaining the missed initial conditions. Comparison of obtained numerical results is made with previously published results in some special cases, and found to be in a good agreement.
The effect of thermal radiation on flow and heat transfer of Maxwell fluid over a stretching surface with variable thickness embedded in a porous medium is considered. The governing non-linear PDE are transformed into a non-linear ODE by using a similarity transformation. These equations were solved numerically with fourth/fifth-order Runge-Kutta method. A comparison of obtained numerical results is made with the previously results in some special cases and excellent agreement is noted. The effects of elasticity, radiation parameter, porosity parameter, wall thickness parameter, and thermal conductivity parameter on the velocity and temperature profiles are presented. Moreover, the skin-friction and Nusselt number are presented.
The unsteady flow of Maxwell fluid over a stretching surface is investigated in this paper numerically. The governing partial differential equations are transformed into a nonlinear ordinary differential equations by using a similarity transformation. The numerical results are guaranteed in comparison with the previous under special assumptions. The effects of elasticity number and material parameter on velocity and micro-rotation profiles are presented and discussed in aid of tables and graphs.
Two slip effects, Brownian diffusion and thermophoresis, on flow, heat, and
mass transfer of an incompressible viscous nanofluid over a stretching
horizontal cylinder in the presence of suction/injection are discussed
numerically. The governing boundary layer equations are reduced to a system
of ordinary differential equations. Mathematica has been used to solve such
system after obtaining the missed initial conditions. Comparison of obtained
numerical results is made with previously published results in some special
cases and found to be in a good agreement.
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