Heat transfer in Jeffrey fluid flow over a power law lubricated surface inspired by solar radiations and magnetic flux

Abstract

For faster speeds and higher load operations, modern bearings use lubricants with polymer components of increasing molecular weight. These lubricants exhibit non-Newtonian rheological behaviour. For industrial lubrication and bearing applications, power-law lubricants are often used. This article is modeled through the slip as an interfacial condition to demonstrate the role of power-law lubrication on the stagnation point flow of magneto Jeffrey fluid. The significant features of magnetic flux over the lubricated surface are studied to control the flow and thermal mechanisms. The heating effect caused by the non-linear thermal radiations is analyzed. Interfacial conditions are developed by applying the continuity of fluid-lubricant shear-stress and velocity at the interface. The similarity transformation is used to acquire and then numerically solve the non-linear ordinary differential equations. By using MATLAB's bvp4c finite difference scheme, local similarity solutions are obtained for a power-law index equal to (1/2). The effects of lubrication, MHD, and thermal radiation on all the relevant parameters are scrutinized and illustrated in graphs. It is observed that the effect of slip and Jeffrey's material parameters raise the numerical value of the coefficient of skin friction along the x-axis. Further, the stronger magnetic field has the more tendency to reduce the fluid momentum and encourages the thermal field. Additionally, increasing the Prandtl number and Schmidt number raises the heat and mass transfer rates, respectively.

Keywords

• Lubricated surface
• Jeffrey fluid
• Non-linear thermal radiation
• Magnetic field
• Power-law fluid.