Stagnation point slip flow of Al₂O₃/γ-Al₂O₃ nanofluids subject to Lorentz force and nonlinear thermal radiation over a stretching sheet

Abstract

The flow analysis of ${\text{Al}}_2{\mathrm{O}}_3$ and ${\mathrm{\gamma }\text{‐Al}}_2{\mathrm{O}}_3$ nanofluids near a stagnating point over a stretching sheet having velocity slip at the solid–liquid interface is presented. There is a quadratic surface temperature and a linear deformation acting on the wall boundary. Due to the uniformly applied transverse magnetic flux, the Lorentz force has an impact on the flow. The effect of nonlinear TR is integrated into the heat equation. Further, water H₂O and EG C₂H₆O₂ are base fluids. The governing boundary equations are translated into dimensionless ODEs using relevant similarity variables and solved numerically using the Runge-Kutta algorithm scheme (fourth-order) and the shooting algorithm. The impacts of the parameters, that is, velocity ratio $\epsilon ,$ velocity slip $\delta ,$ nonlinear TR Rd, the temperature ratio parameter ${\theta }_w,$ and magnetohydrodynamics $M$ are observed for the velocity $h_2\le y\le 0$ and temperature $\theta (\eta )$ fields graphically. The results of local skin friction and local Nusselt number are shown in the table. A comparative analysis of the present results and the results of previous studies has also been made in tabular form. The research indicates that water as a base fluid gives better thermal conductivity than ethylene glycol. The consequence of TR enhances the heat transfer rate of both ${\text{Al}}_2{\mathrm{O}}_3{\text{/}\mathrm{\gamma }\text{‐Al}}_2{\mathrm{O}}_3$ with H₂O and C₂H₆O₂.

Keywords:

• Al₂O₃/γ-Al₂O₃ nanofluids
• MHD
• nonlinear thermal radiation
• stagnation point
• stretching sheet
• velocity slip

Acknowledgment

Many thanks to anonymous reviewers for their helpful manuscript comments.

Disclosure statement

The authors declare no competing interest.