Abstract
Unsteady laminar boundary layer flow of viscous incompressible electrically conducting fluid along a continuous stretched permeable surface with the magnetic field effect is investigated. The defining characteristics of unsteady laminar boundary layer flow are governed a more than one independent variables, stretching velocity and surface temperature of the field. Governing equations are obtained for influencing parameters and transformed into ordinary differential equations by taking convenient similarity variables. Runge-Kutta fourth order method in corporation by the shooting technique is introduced to carry out numerical computations of the investigation. Velocity and temperature profiles are computed and represented graphically for the influences of suction/injection parameter, unsteadiness parameter, magnetic parameter and Prandtl number, while numerical solutions of local skin friction coefficient and local Nusselt number are discussed through tables. For non-magnetic condition, results are found in concordance with earlier research work.
Highlights
Studies of heat transfer and hydrodynamic flow towards a stretchable sheet have been receiving substantial importance over to its roles in upgrading technological applications and growing industrial processes
Crane (1970) extended it and obtained an effective analytical solution for the steady two-dimensional boundary layer flow problem in a quiescent incompressible fluid caused through the elastic flat surface stretching which acts with it plane over linearly varying surface speed
Concluding Remarks A model for the numerical study is developed to investigate the analysis of the heat transfer on unsteady boundary layer flow of an incompressible viscous and electrically conducting fluid past a stretchable permeable surface
Summary
Studies of heat transfer and hydrodynamic flow towards a stretchable sheet have been receiving substantial importance over to its roles in upgrading technological applications and growing industrial processes. These types of problems have numerous characterizations with the small velocities in areas of geothermal where the layers of the shallow sheet are being stretched. 2. Mathematical Model Two-dimensional unsteady laminar boundary layer flow of a quiescent viscous incompressible and electrically conducting fluid along a continuous stretched permeable sheet is assumed. C p is the thermal diffusivity, is the thermal conductivity, C p is the specific heat at constant pressure, vw (x,t) uw x
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