The Shape Effect of Gold Nanoparticles on Squeezing Nanofluid Flow and Heat Transfer between Parallel Plates

Abstract

The focus of the present paper is to analyze the shape effect of gold (Au) nanoparticles on squeezing nanofluid flow and heat transfer between parallel plates. The different shapes of nanoparticles, namely, column, sphere, hexahedron, tetrahedron, and lamina, have been examined using water as base fluid. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by suitable transformations. As a result, nonlinear boundary value ordinary differential equations are tackled analytically using the homotopy analysis method (HAM) and convergence of the series solution is ensured. The effects of various parameters such as solid volume fraction, thermal radiation, Reynolds number, magnetic field, Eckert number, suction parameter, and shape factor on velocity and temperature profiles are plotted in graphical form. For various values of involved parameters, Nusselt number is analyzed in graphical form. The obtained results demonstrate that the rate of heat transfer is maximum for lamina shape nanoparticles and the sphere shape of nanoparticles has performed a considerable role in temperature distribution as compared to other shapes of nanoparticles.

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“…Awan et al 18 debriefed the aspects of the Hall effect on the stream of micropolar nanoliquid between dual plates that are situated parallel to one another. Rashid et al 19 inspected the shape effect of gold nanoparticles in the presence of a nanoliquid stream between parallel plates.…”

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“…Homotopy analysis approach was employed for squeezing water-gold (along with various nanoparticle shapes such as lamina, tetrahedron, hexahedron, sphere, and column) based nanofluid flow between horizontal channels. 2 Further, fourth and fifth order Runge-Kutta-Fehlberg technique was considered to analyze the gold nanoparticles effects on Sisko fluid (considering Sisko fluid as blood) flow over a stretching surface. 3 The mobility of nanofluid in an inclined diverging or converging channel is analyzed using the perturbation method.…”