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

Umair Rashid,Muhammad Abbas,Azhar Iqbal,Mohd Junaid Siddiqui,Haiyi Liang,Thabet Abdeljawad

doi:10.1155/2020/9584854

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.

Highlights

Nanotechnology has recently emerged and has become a worldwide revolution to obtain exceptional qualities and features over the last few decades
Results and Discussion e physical insight of the problem is discussed in this present portion. e schematic model of squeezing nanofluid is shown in Figure 3. e dynamics of heat transfer in the squeezing nanofluid fluid flow are described under the variation of dimensionless solid volume fraction, thermal radiation, Reynolds number, magnetic field, Eckert number, suction parameter, and shape factor. e analysis is carried out using the following range of parameters 0.1 ≥ φ ≤ 0.2, 0.5 ≥ A ≤ 1.0,0.5 ≥ M ≤ 4.0,0.5 ≥ R ≤ 1.0,0.01 ≥ Ec ≤ 0.9, and 0.5 ≥ Rd ≤ 2.0
The effect of gold (Au) nanoparticles on squeezing nanofluid flow has been thoroughly examined. e analytical solution was obtained by using homotopy analysis method (HAM) for a range of pertinent parameters such as shape factor, solid volume fraction, thermal radiation, Reynolds number, magnetic field, suction parameter, and Eckert number. e effects of various parameters have been illustrated through graphs. e Pr keeps fixed at 6.2

Summary

Introduction

Nanotechnology has recently emerged and has become a worldwide revolution to obtain exceptional qualities and features over the last few decades. Sheikholeslami and Ganji [7] studied the heat transfer in squeezed nanofluid flow based on homotopy perturbation method.

Results

Conclusion