Research Papers: Heat and Mass Transfer

Cross Diffusion Effects on Chemically Reacting Magnetohydrodynamic Micropolar Fluid Between Concentric Cylinders

[+] Author and Article Information
D. Srinivasacharya

Department of Mathematics,
National Institute of Technology,
Warangal, Andhra Pradesh, 506004, India
e-mail: dsrinivasacharya@gmail.com;

Mekonnen Shiferaw

Department of Mathematics,
Arba Minch University,
P. O. Box 72,
Arba Minch, Ethiopia
e-mail: mekk_aya@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 28, 2012; final manuscript received June 4, 2013; published online October 14, 2013. Assoc. Editor: William P. Klinzing.

J. Heat Transfer 135(12), 122003 (Oct 14, 2013) (10 pages) Paper No: HT-12-1533; doi: 10.1115/1.4024838 History: Received September 28, 2012; Revised June 04, 2013

The present study investigates magnetic, first-order chemical reaction, Soret and Dufour effects on electrically conducting micropolar fluid flow between two circular cylinders. The inner and outer surfaces of the annular cylinder are maintained at different constant wall temperature where the outer cylinder is rotating and inner cylinder remains stationary. The governing nonlinear partial differential equations are transformed into a system of ordinary differential equations (ODEs) using similarity transformations. The resulting equations are then solved for approximate analytical series solutions using homotopy analysis method (HAM). The effects of various parameters on the velocity, microrotation temperature and concentration are discussed and shown graphically.

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Grahic Jump Location
Fig. 2

Residual errors of (a) f(η), (b) g(η), (c) θ(η), and (d) φ(η)

Grahic Jump Location
Fig. 1

The h curve of (a) f(η), (b) g(η), (c) θ(η), and (d) φ(η)

Grahic Jump Location
Fig. 3

Effect of coupling numbers on (a) velocity(f) (b) microrotation (c) temperature and (d) concentration for Ha = 3, Df = 0.03,Sr = 2, K = 0.5

Grahic Jump Location
Fig. 4

Effect of Hartman number on (a) velocity(f) (b) microrotation (c) temperature and (d) concentration for N = 0.5, Df = 0.03,Sr = 2, K = 0.5

Grahic Jump Location
Fig. 5

Effect of Dufour and Soret numbers on (a) velocity(f) (b) microrotation (c) temperature and (d) concentration for Ha = 3, N = 0.5, K = 0.5

Grahic Jump Location
Fig. 6

Effect of chemical reaction parameter on (a) velocity(f) (b) microrotation (c) temperature and (d) concentration for Ha = 3, Df = 0.03,Sr = 2, N = 0.5



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