Numerical Study of Axisymmetric Flow and Heat Transfer in a Liquid Film over an Unsteady Radially Stretching Surface

Azeem Shahzad,Salah Ud-Din Khan,Shahab Ud-Din Khan,Azhar Iqbal,Aamir Farooq,Uzma Gulistan,Muhammad Kamran,Ali Cemal Benim,Ramzan Ali

doi:10.1155/2020/6737243

Abstract

The main emphasis on this paper is to analyze the axisymmetric flow and heat transfer in a liquid film over an unsteady radially stretching surface in the presence of a transverse magnetic field. The similarity transformations are used to reduce the highly nonlinear governing partial differential equations for momentum and energy into a set of ordinary differential equations. A numerical scheme is developed for the reduced nonlinear differential equations for the velocity and temperature fields. The literature survey shows that the present problem of thin film flow over a radially stretching sheet has not been studied before. The features of the flow and heat transfer characteristic for different values of governing parameters such as unsteadiness parameter, Prandtl number, Eckert number, and magnetic parameter are thoroughly examined. This study noticed that, by increasing the magnetic parameter and unsteadiness parameter, film thickness decreases.

Highlights

Academic Editor: Babak Shotorban e main emphasis on this paper is to analyze the axisymmetric flow and heat transfer in a liquid film over an unsteady radially stretching surface in the presence of a transverse magnetic field. e similarity transformations are used to reduce the highly nonlinear governing partial differential equations for momentum and energy into a set of ordinary differential equations
A numerical scheme is developed for the reduced nonlinear differential equations for the velocity and temperature fields. e literature survey shows that the present problem of thin film flow over a radially stretching sheet has not been studied before. e features of the flow and heat transfer characteristic for different values of governing parameters such as unsteadiness parameter, Prandtl number, Eckert number, and magnetic parameter are thoroughly examined. is study noticed that, by increasing the magnetic parameter and unsteadiness parameter, film thickness decreases
Bhukta et al [24] investigated the dissipation effects on MHD-mixed convection unsteady flow of an electrically conducting fluid over a stretching sheet embedded in a porous medium subject to transverse magnetic field

Summary

Introduction

Academic Editor: Babak Shotorban e main emphasis on this paper is to analyze the axisymmetric flow and heat transfer in a liquid film over an unsteady radially stretching surface in the presence of a transverse magnetic field. e similarity transformations are used to reduce the highly nonlinear governing partial differential equations for momentum and energy into a set of ordinary differential equations. Abel et al [10] studied heat transfer rate in a liquid film over an unsteady stretching surface including viscous dissipation in the presence of an external magnetic field with specific surface temperature. Abel et al [17] studied the MHD boundary layer flow and heat transfer characteristic of a laminar liquid film over a flat impermeable stretching sheet in the presence of a nonuniform heat source/sink.

Results

Conclusion