Abstract
An investigation of how the velocity of elasto-viscous fluid past an infinite plate, with slip and variable temperature, is influenced by combined thermal-radiative diffusion effects has been carried out. The study of dynamics of a flow model leads to the generation of characteristic fluid parameters ( G r , G m , M, F, S c and P r ). The interaction of these parameters with elasto-viscous parameter K ′ is probed to describe how certain parametric range and conditions could be pre-decided to enhance the flow speed past a channel. In particular, the flow dynamics’ alteration in correspondence to the slip parameter’s choice, along with temperature provision to the boundary in temporal pattern, is determined through uniquely calculated exact expressions of velocity, temperature and mass concentration of the fluid. The complex multi-parametric model has been analytically solved using the Laplace and Inverse Laplace transform. Through study of calculated exact expressions, an identification of variables, adversely (M, F, S c and P r ) and favourably ( G r and G m ) affecting the flow speed and temperature has been made. The accuracy of our results have also been tested by computing matching numerical solutions and by graphical reasoning. The verification of existing results of Newtonian fluid with varying boundary condition of velocity and temperature has also been completed, affirming the veracity of present results.
Highlights
Biochemical radiative processing in treatment of several diseases, filtration processes of complex nature with narrow gateways and nuclear reactor processes [1,2,3,4,5,6], involve the phenomenon of varying-degree of mass-heat diffusion
Several aspects of dynamics of flow like variations caused by boundary condition on velocity, shear stress and mixed boundary conditions have been discussed in [25,26,27,28]
The expression of velocity corresponding to Newtonian fluid flow, both in the presence and absence of magnetic fields, shall be determined
Summary
Biochemical radiative processing in treatment of several diseases, filtration processes of complex nature with narrow gateways and nuclear reactor processes [1,2,3,4,5,6], involve the phenomenon of varying-degree of mass-heat diffusion. A numerical solutions’ approach has been adopted to develop the models of convective heat-mass transfer of elasto-viscous fluids past or over straight channels that were moved impulsively or started with constant and uniform acceleration [37,38]. These observations included the angle of normal oscillations of channel and adjacent convection. We have analysed the heat and mass transfer of convective flow of elasto-viscous fluid with slip boundary condition such that provision of temporal temperature on the boundary of infinite plate over which fluid is flowing is ensured. The present results of elasto-viscous fluid system have been verified through graphical approach as well as by considering limiting cases of fluid parameters
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