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Research Papers

Second Law Analysis of Magnetorheological Rotational Flow With Viscous Dissipation

[+] Author and Article Information
Abbas Hazbavi

Department of Mechanical Engineering,
College of Engineering,
Ahvaz Branch of Islamic Azad University,
Ahvaz, Iran
e-mail: ahazbavi@iauahvaz.ac.ir

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received August 4, 2015; final manuscript received January 5, 2016; published online March 1, 2016. Assoc. Editor: Giulio Lorenzini.

J. Thermal Sci. Eng. Appl 8(2), 021020 (Mar 01, 2016) (9 pages) Paper No: TSEA-15-1208; doi: 10.1115/1.4032670 History: Received August 04, 2015; Revised January 05, 2016

In this study, the influences of the applied magnetic field and fluid elasticity were investigated for a nonlinear viscoelastic fluid obeying the Carreau equation between concentric annulus where the inner cylinder rotates at a constant angular velocity and the outer cylinder is stationary. The governing motion and energy balance equations are coupled while viscous dissipation is taken into account, adding complexity to the already highly correlated set of differential equations. The numerical solution is obtained for the narrow gap limit and steady-state base flow. Magnetic field effect on local entropy generation due to steady two-dimensional laminar forced convection flow was investigated. This study was focused on the entropy generation characteristics and its dependency on various dimensionless parameters. The effects of the Hartmann number, the Brinkman number, the Deborah number, and the fluid elasticity on the stability of the flow were investigated. The application of the magnetic field induces a resistive force acting in the opposite direction of the flow, thus causing its deceleration. Moreover, the study shows that the presence of magnetic field tends to slowdown the fluid motion and thus increases the fluid temperature. However, the total entropy generation number decreases as the Hartmann number and fluid elasticity increase and it increases with increasing Brinkman number.

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Figures

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Fig. 1

Schematic of concentric rotating cylinders with magnetic field with a constant magnetic flux density B0 is applied in the radial direction. (a) Hydrodynamic boundary condition, (b) isothermal boundary condition, and (c) isoflux boundary condition.

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Fig. 2

Effect of Hartmann number on the velocity profile for polystyrene solution with (De = 0.05)

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Fig. 3

Effect of Hartmann number on the velocity profile for polystyrene solution with (De = 0.10)

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Fig. 4

Effect of fluid elasticity on the velocity profile for Hartmann number Ha = 2

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Fig. 5

Temperature profile variations with Hartmann number in isothermal boundary condition, Br = 10, and polystyrene solution

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Fig. 6

Temperature profile variations with Hartmann number in isoflux boundary condition, Br = 10, and polystyrene solution

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Fig. 7

Effect of Hartmann number on the entropy generation number NSRHT for isothermal boundary condition, Br = 10, and polystyrene solution

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Fig. 8

Effect of Hartmann number on the entropy generation number NSRHq for isoflux boundary condition, Br = 10, and polystyrene solution

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Fig. 9

Effect of Hartmann number on the entropy generation number NST for isothermal boundary condition, Br = 15 and polystyrene solution

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Fig. 10

Effect of Hartmann number on the entropy generation number NSq for isoflux boundary condition, Br = 15, and polystyrene solution

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Fig. 11

Temperature profile variations with Brinkman number in isothermal boundary condition, Ha = 4, and polystyrene solution

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Fig. 12

Temperature profile variations with Brinkman number in isoflux boundary condition, Ha = 4, and polystyrene solution

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Fig. 13

Effect of Brinkman number on the entropy generation number NSRHT for isothermal boundary condition, Ha = 4, and polystyrene solution

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Fig. 14

Effect of Brinkman number on the entropy generation number NSRHq for isoflux boundary condition, Ha = 4, and polystyrene solution

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Fig. 15

Effect of Brinkman number on the entropy generation number NST for isothermal boundary condition, Ha = 4, and polystyrene solution

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Fig. 16

Effect of Brinkman number on the entropy generation number NSq for isoflux boundary condition, Ha = 4, and polystyrene solution

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Fig. 17

Effect of fluid elasticity on the temperature profile for isothermal boundary condition, Ha = 3, and Br = 3

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Fig. 18

Effect of fluid elasticity on the temperature profile for isoflux boundary condition, Ha = 3, and Br = 3

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Fig. 19

Effect of fluid elasticity on the entropy generation number NST for isothermal boundary condition, Ha = 3, and Br = 3

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Fig. 20

Effect of fluid elasticity on the entropy generation number NSq for isoflux boundary condition, Ha = 3, and Br = 3

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Fig. 21

Effect of Brinkman number on the Bejan number (BeT) for isothermal boundary condition, Ha = 4, and polystyrene solution

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Fig. 22

Effect of Brinkman number on the Bejan number (Beq) for isoflux boundary condition, Ha = 4, and polystyrene solution

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