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Research Papers: Flows in Complex Systems

Hydromagnetic Fluid Flow and Heat Transfer at a Stretching Sheet With Fluid-Particle Suspension and Variable Fluid Properties

[+] Author and Article Information
K. Vajravelu

Department of Mathematics,
Department of Mechanical, Materials and
Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816

K. V. Prasad

Department of Mathematics,
Bangalore University,
Central College Campus,
Bangalore 560 001, India

P. S. Datti

T.I.F.R. Centre for Applicable Mathematics,
Sharada Nagar,
Yelahanka New Town,
Bangalore 560 065, India

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 14, 2011; final manuscript received July 16, 2012; published online December 12, 2012. Assoc. Editor: Ye Zhou.

J. Fluids Eng 135(1), 011101 (Dec 12, 2012) (9 pages) Paper No: FE-11-1493; doi: 10.1115/1.4007802 History: Received December 14, 2011; Revised July 16, 2012

In this paper, we investigate the influence of temperature-dependent fluid properties on the flow and heat transfer characteristics of an electrically conducting dusty fluid over a stretching sheet. Temperature-dependent fluid properties are assumed to vary as a function of the temperature. The governing coupled nonlinear partial differential equations along with the appropriate boundary conditions are transformed into coupled, nonlinear ordinary differential equations by a similarity transformation. The resultant coupled highly nonlinear ordinary differential equations are solved numerically by a second order implicit finite difference scheme known as the Keller–Box method. The numerical solutions are compared with the approximate analytical solutions, obtained by a perturbation technique. The analysis reveals that even in the presence of variable fluid properties the transverse velocity of the fluid is to decrease with an increase in the fluid-particle interaction parameter. This observation holds even in the presence of magnetic field. Furthermore, the effects of the physical parameters on the fluid velocity, the velocity of the dust particle, the density of the dust particle, the fluid temperature, the dust-phase temperature, the skin friction, and the wall-temperature gradient are assessed through tables and graphs.

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References

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Figures

Grahic Jump Location
Fig. 1

Physical model and coordinate system

Grahic Jump Location
Fig. 2

(a) Transverse velocity profiles for different values of β and Mn with θr-1 = 0.0,ɛ = 0.0,Pr = 1.0. (b) Horizontal velocity profiles for different values of β and Mn with θr-1 = 0.0,ɛ = 0.0,Pr = 1.0. (c) Particle velocity components for different values of β and Mn with θr-1 = 0.0,ɛ = 0.0,Pr = 1.0. (d) Particle velocity component G for different values of β and Mn with θr-1 = 0.0,ɛ = 0.0,Pr=1.0.

Grahic Jump Location
Fig. 3

(a) Fluid transverse velocity profiles for different values of β and θr with Mn = 0.5,ɛ = 0.1,Pr = 1.0. (b) Fluid horizontal velocity profiles for different values of β and θr with Mn=0.5,ɛ=0.1,Pr=1.0.

Grahic Jump Location
Fig. 4

(a) Fluid temperature profiles for different values of β and Mn with θr-1 = 0.0,ɛ = 0.0,Pr = 1.0. (b) Dust-phase temperature profiles for different values of β and Mn with θr-1=0.0,ɛ = 0.0,Pr = 1.0.

Grahic Jump Location
Fig. 5

(a) Fluid temperature profiles for different values of β and θr with Mn = 0.5,ɛ = 0.1,Pr = 1.0. (b) Dust-phase temperature profiles for different values of β and θr with Mn = 0.5,ɛ = 0.1,Pr = 1.0.

Grahic Jump Location
Fig. 6

(a) Fluid temperature profiles for different values of β and ε with Mn = 0.5,θr = -5.0,Pr = 1.0. (b) Dust-phase temperature profiles for different values of β and ε with Mn = 0.5,θr = -5.0,Pr = 1.0.

Grahic Jump Location
Fig. 7

(a) Fluid temperature profiles for different values of β and Pr with Mn=0.5,θr=-5.0,ɛ=0.1. (b) Dust-phase temperature profiles for different values of β and Pr with Mn=0.5,θr=-5.0,ɛ=0.1.

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