Serious Solutions for Unsteady Axisymmetric Flow over a Rotating Stretchable Disk with Deceleration

Sadiq Sadiq

doi:10.3390/sym12010096

Abstract

In this article, the author has examined the unsteady flow over a rotating stretchable disk with deceleration. The highly nonlinear partial differential equations of viscous fluid are simplified by existing similarity transformation. Reduced nonlinear ordinary differential equations are solved by homotopy analysis method (HAM). The convergence of HAM solutions is also obtained. A comparison table between analytical solutions and numerical solutions is also presented. Finally, the results for useful parameters, i.e., disk stretching parameters and unsteadiness parameters, are found.

Highlights

Due to the massive practical application in the scientific and technical field, the study of the rotating stretchable disk has become significant, such as thermal power generation system, medical equipment’s, computer storage devices, rotating machinery, gas turbine routers, air cleaning machines, crystal growth process, and in aerodynamic applications [1]
Fang and Zhang [3] have highlighted the flow between two stretchable disks and found the exact solutions
The parameters analysis and optimization of entropy generation in unsteady magneto hydrodynamics flow over a rotating stretchable flow over a rotating disk using artificial neural network and practical swarm optimization algorithm was presented by Rashidi et al [4]

Summary

Introduction

Due to the massive practical application in the scientific and technical field, the study of the rotating stretchable disk has become significant, such as thermal power generation system, medical equipment’s, computer storage devices, rotating machinery, gas turbine routers, air cleaning machines, crystal growth process, and in aerodynamic applications [1]. Von Kármán [2] conducted a study on rotating disk. Fang and Zhang [3] have highlighted the flow between two stretchable disks and found the exact solutions. The parameters analysis and optimization of entropy generation in unsteady magneto hydrodynamics flow over a rotating stretchable flow over a rotating disk using artificial neural network and practical swarm optimization algorithm was presented by Rashidi et al [4].

Objectives

Results

Conclusion