Abstract
The characteristics of unsteady motion of Casson fluid over a wavy surface with magnetic field is studied. The energy and diffusion equations are encompassed with radiation, heat source and thermo diffusion effects. The flow governing equations have been solved using regular perturbation technique. MATLAB bvp4c package is for discerning the impact of governing parameters on the usual flow profiles. various pertinent parameters on velocity, temperature and concentration profiles of the Casson fluid flow. The frictional factor, heat and mass transfer coefficients are tabulated for the same parameters. From this analysis, it is worth mentioning that a hike in fluid viscosity slowdowns the velocity profiles but the result is opposite with Soret effect. Also, accelerating values of radiation parameter uplifts the rate of mass and heat transport but controls the shear stress.
Highlights
The non-Newtonian fluids differ in characteristics compared to Newtonian fluids due to heavier viscosity
From the above all literature we found that nobody reported the characteristics of heat and mass transfer on time dependent flow of non-Newtonian fluid towards an accelerated vertical wavy plate in the presence of radiation, heat source, magnetic field and thermo diffusion effects
In present perusal we investigate the impact of Soret number on radiative Casson fluid flow through a wavy plate with the help of analytical solution
Summary
The non-Newtonian fluids differ in characteristics compared to Newtonian fluids due to heavier viscosity. Mukhopadhyay (2013) reported the impact of heat transfer on the flow of Casson fluid past a non-linear stretched surface. Zhang et al (2015) studied the MHD flow of nanofluids towards a flat plate in view of variable surface heat flux effects. Pramanik (2014) numerically obtained the solution for boundary layer flow induced by a stretching sheet with thermal radiation heat transfer. A numerical investigation conducted by Aruna et al (2015) consists of cross diffusion impacts on MHD flow (unsteady) towards a wavy plate. From the above all literature we found that nobody reported the characteristics of heat and mass transfer on time dependent flow of non-Newtonian fluid towards an accelerated vertical wavy plate in the presence of radiation, heat source, magnetic field and thermo diffusion effects. We make use of the below said non-dimensional quantities to convert the governing PDEs as ODEs
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