Analysis of heat transfer and thin film flow of Au−Np over an unsteady radial stretching sheet

Abstract

The analysis of heat transfer and thin film flow over an unsteady radial stretching surface is the primary focus of this work. For the two-dimensional motion of the pair stress nanofluid made of gold nanoparticles, a mathematical model is put forth. Nonlinear governing partial differential equations for momentum and energy are converted into a set of ordinary differential equations via similarity transformations. By using the BVP4c method, the resulting nonlinear differential equations were calculated. The relationship between the Nusselt number, temperature, skin friction, and fluid motion velocity is examined and graphically analyzed. This study suggests that thin film thickness increases for rising values of volume fraction $(\varphi ),$ whereas it dropped for increasing values of the magnetic parameter $(M)$ and unsteadiness parameters $\left(S\right).$ Maximum heat transfer rate and skin friction coefficient has been observed for blade and cylinder shaped nanoparticles and minimum for brick shape.

Keywords:

• Gold nanoparticles $(\mathrm{Au}-\mathrm{Np})$
• magnetohydrodynamics
• radial stretching sheet
• shape factor
• thin film