Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force

Abstract

Casson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived and incorporated into the Navier-Stokes equations to obtain appropriate equations for the flow of Newtonian Casson fluid under the action of Coriolis force. The governing equations are non-dimensionalized using Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using the Runge-Kutta-Gills method with the Shooting technique, and the results depicted graphically. An increase in Coriolis force and non-Newtonian parameter decreases the velocity profile in the x-direction, causes a dual effect on the shear stress, increases the temperature profiles, and increases the velocity profile in the z-direction.

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

“…Shah et al [27] also extended the work of Mahantesh et al [14] to Casson nanofluid. Other recent works on Casson fluid, nanofluid and magnetohydrodynamic flows include [11,12,[20][21][22].…”

Coriolis effects on MHD newtonian flow over a rotating non-uniform surface

“…[11][12][13][14][15][16][17][18][19][20][21] Meanwhile, only have researches have considered the MHD flow under the influence of Coriolis force and none has considered the combined effect of magnetic field and Coriolis force on flow over a nonuniform surface. [22][23][24] Koriko et al 25 considered the Newtonian flow over rotating non-uniform surface but does not consider the effect of Lorentz force on the flow whose importance is found in Sunspots, the solar wind, the differential solar rotation, design of bioreactors and many other natural and physical phenomenon,…”

Boger nanofluid: significance of Coriolis and Lorentz forces on dynamics of rotating fluid subject to suction/injection via finite element simulation

“…In the recent years, the growing interest in the examination of Coriolis force effects on the dynamics of fluid flow over a stretching sheet because of several real applications in astrophysical and geophysical problems, hot rolling, fiber production, and centrifugal bio-reactor 25 . Chu et al 26 explored numerically on nanofluid flow past a bidirectional periodically moving surface in the presence of nonlinear radiation and heat source/sink effects by employing (HAM) Homotopy Analysis Method.…”