Journals / Turkish Journal of Engineering and Environmental Sciences / 2012 / Cilt: 36 - Sayı: 3

Analytical solution of mixed convection flow of couple stress fluid between two circular cylinders with Hall and ion-slip effects

Pages
226–235
DOI
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Abstract

This paper presents the Hall and ion-slip effects on electrically conducting couple stress fluid flow between 2 circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using the homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, ion-slip parameter, and couple stress fluid parameter on velocity and temperature are discussed and shown graphically.

Özet

This paper presents the Hall and ion-slip effects on electrically conducting couple stress fluid flow between 2 circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using the homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, ion-slip parameter, and couple stress fluid parameter on velocity and temperature are discussed and shown graphically.

Keywords: Mixed convection, couple stress fluid, hall and ion-slip effects, circular cylinders, HAM