Influence of variable thermal conductivity and diffusion coefficients in the flow of Jeffrey fluid past a lubricated surface with homogeneous-heterogeneous reactions: A finite-difference approximations

Abstract

The key function of lubricants is to reduce the friction, wear, and heat between the parts that are in contact with each other. The main applications of the lubricants are to control temperature, and reduction in wear and corrosion of the machinery. Keeping in mind the importance of lubrication and its applications in varied machines. The goal of this research is to inspect the heat transmission impact in the magnetohydrodynamic flow of Jeffrey liquid near a stagnation point through a lubricated surface. Lubrication is accomplished by a shear-thinning liquid. The velocity, continuity, and shear stress, amalgamated with power-law fluids, are used to develop interfacial conditions. The exclusivity of the anticipated model is the inclusion of variable thermal conductivity and diffusion coefficients in the existence of homogeneous-heterogeneous reactions. Using the Keller–Box finite-difference approximation approach, the numerical results are accomplished. The outcomes are portrayed and tabulated in the form of diagrams and tables, respectively. It is witnessed that a greater magnetic field affects the fluid flow velocity and the drag force coefficient. Moreover, it is also inferred that the heat transfer rate dwindled for the greater thermal conductivity parameter. Authentication of the presented model is also part of this investigation.

Keywords:

• Homogeneous-heterogeneous reactions
• Jeffrey fluid flow
• lubricated surface
• variable diffusion coefficient
• variable thermal conductivity

Disclosure statement

According to the authors, they have no known competing economic interests or family connections that could show up to have impacted the work described in this study.

Authors’ contributions

M.R. supervises and assumed in the concept; H. G. wrote the manuscript; H.A.S.G. worked on the software; and K.S.N., M.A., C.A.S. assisted in editing and validation; S.K., worked on addressing the grammatical/typos mistakes.

Additional information

Funding

This work was supported by the the King Khalid University through a grant RCAMS/KKU/05-22 under the Research Center for Advance Materials (RCAMS) at King Khalid University, Saudi Arabia.