Abstract
In this paper, we analyze unsteady two dimensional hydromagnetic forced convection boundary layer flow of a viscous incompressible fluid along flat plates with thermophoresis. The potential flow velocity has been taken as a function of the distance x and time t. The governing partial differential equations are transformed to ordinary differential equation by applying local similarity transformation. The resulting similarity equations are then solved numerically for unsteady case, applying Nachtsheim-Swigert shooting iteration technique with six order Runge-Kutta method. The variations in fluid velocity, fluid temperature and species concentration are displayed graphically and discussed for different material parameters entering into the analysis. The effects of the pertinent parameters on the skin-friction coefficient, wall heat transfer coefficient and wall deposition flux rate are also displayed in tabulated form and discussed them from the physical point of view. An analysis of the obtained results shows that the flow field is influenced appreciably by the magnetic field parameter and the thermophoresis particle deposition.
Highlights
In order to investigate the physical representation of the problem, the numerical values of velocity field ( f ′ ), temperature field ( θ ) and concentration ( φ ) have been computed for resultant for various physical parameters like local heat generation parameter, Schmidt parameter, local magnetic field parameter and thermophoretic parameter
We have discussed the effects of thermophoresis on an unsteady two dimensional forced convective heat and mass transfer boundary layer flow over flat plates
The results are analyzed for various physical parameters such as local magnetic field parameter, Prandtl number, Schmidt number, local heat generation parameter, magnetic parameter, thermophoretic parameter, heat and mass transfer characteristics
Summary
The problems of forced convective boundary layer flow over flat plates with thermophoresis under the influence of a magnetic field have been attracted the attention of a number of researchers because of their possible applications in many. Y. Ali branches of science and technology, such as its applications in transportation cooling of re-entry vehicles and rocket boosters, cross-hatching on ablative surfaces and film vaporization in combustion chambers. Forced convective boundary layer flows have a great interest from both theoretical and practical point of views because of its vast and significant applications in cosmic fluid dynamics, solar physics, geophysics, electronics, paper production, wire and fiver coating, composite processing and storage system of agricultural product etc
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