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The physical aspects of flow and heat transport analysis of non-Newtonian (Carreau-Yasuda) fluid through an upper paraboloid surface of revolution has been scrutinized. Non-linear radiation, magnetic field, heat generation are considered in this study. The governing flow equations are modeled in the formulation. The governing flow equations (PDE’s) are changed into a system of ODE’s by employing the related transformation variables. The highly non-linear and coupled ODE’s are resolved aid of Runge–Kutta fourth-order along shooting numerical procedure. The physical flow and temperature phenomena have analyzed for both Newtonian and Non-Newtonian fluid cases through plots for the dimensionless sundry variables. The fluid velocity dwindled with the escalation of the magnetic field. An increase in fluid temperature is observed against the temperature ratio variable. Behaviour of fluid temperature of Newtonian fluid is excessive as compared to the Carreau-Yasuda fluid case for the exponential parameter N. The present model (Carreau-Yasuda fluid) is simplified to the viscous fluid (Newtonian fluid) case when n = 1. The streamline flow patterns are reduced for higher thermal Grashof number Gr. The numerical comparison has been deliberated with existing outcomes for a limit case. The heat augmentation analysis through Carreau-Yasuda liquid has prominent applications in non-linear science and industrial technology.

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In this study, we analyzed three-dimensional magnetohydrodynamic non-Newtonian and Newtonian fluid motion, transfer of heat and mass over a stretching surface with Brownian flow, thermophoresis, and Dufour effects. By Runge-Kutta based shooting method, the transformed governing equations are solved numerically. With the facilitate of tables and graphs, momentum, energy and mass profiles along with the skin friction coefficient, local Nusselt number, and Sherwood number are analyzed in the influence of nondimensional parameters. It is established that enhance the stretching ratio parameter improves the energy and concentration transfer rate. The transfer of energy and concentration rate in the Newtonian fluid is relatively low while compared with non-Newtonian fluid. K E Y W O R D S Brownian flow, chemical reaction, diffusion-thermo and thermal-diffusion effects, non-Newtonian and Newtonian fluids, stretching sheet

In this study, the effect of viscosity variation of non-Newtonian lubrication on squeeze film characteristics with porous and Rabinowitsch fluid for conical bearings is analyzed. The modified Reynolds equation representing the characteristics of non-Newtonian fluid with viscosity variation on the porous wall followed by the cubic stress law condition is invoked. For lubricant flow in a bearing clearance and in a porous layer Morgan–Cameron approximation is considered. A small perturbation technique is used to compute the pressure generation using modified Reynolds equation of lubrication. Approximate analytical solutions have been obtained for the squeeze film pressure, load-carrying capacity, squeeze film time, and center of pressure. The outcomes are displayed in diagrams and tables, which show that the effect of viscosity variation and porous wall on the squeeze film lubrication of conical bearings decreases film pressure, load-carrying capacity, and response time for the Newtonian case in comparison to the non-Newtonian case.