Numerical Study of the Magnetic Field Effects on the Heat Transfer and Entropy Generation Aspects of a Power Law Fluid over an Axisymmetric Stretching Plate Structure

Payam Hooshmand,Isma’Il Pirzadeh,Mohammad Abdollahzadeh Jamalabadi,Ashkan Hesabi,Majid Oveisi,Hamed Gatabi,Navid Bagheri

doi:10.3390/e19030094

Abstract

Numerical investigation of the effects of magnetic field strength, thermal radiation, Joule heating, and viscous heating on a forced convective flow of a non-Newtonian, incompressible power law fluid in an axisymmetric stretching sheet with variable temperature wall is accomplished. The power law shear thinning viscosity-shear rate model for the anisotropic solutions and the Rosseland approximation for the thermal radiation through a highly absorbing medium are considered. The temperature dependent heat sources, Joule heating, and viscous heating are considered as the source terms in the energy balance. The non-dimensional boundary layer equations are solved numerically in terms of similarity variable. A parameter study on the Nusselt number, viscous components of entropy generation, and thermal components of entropy generation in fluid is performed as a function of thermal radiation parameter (0 to 2), Brinkman number (0 to 10), Prandtl number (0 to 10), Hartmann number (0 to 1), power law index (0 to 1), and heat source coefficient (0 to 0.1).

Highlights

The study of the axisymmetric flow of a power-law fluid past a stretching sheet from the perspective of the thermodynamic and forced convective heat transfer aspects happens in many applications such as the polymer industry [1], metallic plate cooling [2], plastic sheet drawing [3], drawing of wire and fiber [4], hot rolling [5], paper fabrication [6], aerodynamics [7], etc
Entropy generation effects in polymer applications [31,32,33] due to flow and heat transfer over stretching flat plates in Cartesian coordinates have been investigated by numerous researchers [34,35,36,37,38,39,40,41]
Considering all the above, the goal of the present article was to investigate entropy production in a steady state fully developed forced convection incompressible flow over an axisymmetric stretching sheet such that the stretching wall is subjected to different wall temperatures and the Rosseland approximation model

Summary

Introduction

The study of the axisymmetric flow of a power-law fluid past a stretching sheet from the perspective of the thermodynamic and forced convective heat transfer aspects happens in many applications such as the polymer industry [1], metallic plate cooling [2], plastic sheet drawing [3], drawing of wire and fiber [4], hot rolling [5], paper fabrication [6], aerodynamics [7], etc. There are some studies that consider the control of the temperature and velocity fields for the axisymmetric power-law fluid flow of a past a stretching sheet without allowing for the thermal radiation [11,12], whereas on the other hand, heat transfer by concurrent radiation and convection is significant in numerous circumstances [13,14]. Crane’s work was advanced in heat transmission by Wang [16], viscid effects by Burde [17] and Ishak [18,19], stagnation point special effects by Mastroberardino [20] and Weidman and Ali [21], slip effects by Wang and Ng [22], oscillation by Munawar et al [23], hydromagnetic effects and permeable wall by Vajravelu et al [24], haemodynamic applications by Joodaki et al [25] and Forman et al [26,27], optimum length of artery rings [28], stretching wall in vascular development by Jones [29], wall-blood interactions by Das et al [30], etc.

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