Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases in Rex1/2Cfx is guaranteed with St when magnitude of β is large. Rex1/2Cfx decreases with Ec and m

Magneto Jeffrey Nanofluid Bioconvection over a Rotating Vertical Cone due to Gyrotactic Microorganism

The particular inquiry is made to envision the behavioral characteristics of gyrotactic microorganism effects on the MHD flow of Jeffrey nanofluid. Together the nanoparticles and motile microorganism are inducted into the modeled nonlinear differential equations. The optimal solutions for the governing equations are tackled by optimal homotopy analysis method. The physical characteristics of the relatable parameters are explored and deliberated in terms of graphs and numerical charts. Also, the precision of the present findings is certified by equating them with the previously published work. It is explored that rescaled density of the motile microorganisms contracts with bioconvection Peclet number Pe. It is seen that bioconvection Rayleigh number Rb shrinks the magnitude of tangential velocity. Also, bioconvection Schmidt number Sb augments the reduced density number of the motile microorganisms