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Research Papers

Second Law Analysis of Magneto-Micropolar Fluid Flow Between Parallel Porous Plates

[+] Author and Article Information
Abbas Kosarineia

Department of Mechanical Engineering,
Islamic Azad University,
Ahvaz Branch,
Ahvaz 61349-37333, Iran
e-mail: kosarineia@gmail.com

Sajad Sharhani

Department of Mechanical Engineering,
Islamic Azad University,
Ahvaz Branch,
Ahvaz 61349-37333, Iran
e-mail: s.sharhani@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 10, 2017; final manuscript received November 11, 2017; published online May 8, 2018. Assoc. Editor: Samuel Sami.

J. Thermal Sci. Eng. Appl 10(4), 041017 (May 08, 2018) (9 pages) Paper No: TSEA-17-1287; doi: 10.1115/1.4039633 History: Received August 10, 2017; Revised November 11, 2017

In this study, the influence of the applied magnetic field is investigated for magneto-micropolar fluid flow through an inclined channel of parallel porous plates with constant pressure gradient. The lower plate is maintained at constant temperature and the upper plate at a constant heat flux. The governing motion and energy equations are coupled while the effect of the applied magnetic field is taken into account, adding complexity to the already highly correlated set of differential equations. The governing equations are solved numerically by explicit Runge–Kutta. The velocity, microrotation, and temperature results are used to evaluate second law analysis. The effects of characteristic and dominate parameters such as Brinkman number, Hartmann Number, Reynolds number, and micropolar viscosity parameter are discussed on velocity, temperature, microrotation, entropy generation, and Bejan number in different diagrams. The results depicted that the entropy generation number rises with the increase in Brinkman number and decays with the increase in Hartmann Number, Reynolds number, and micropolar viscosity parameter. The application of the magnetic field induces resistive force acting in the opposite direction of the flow, thus causing its deceleration. Moreover, the presence of magnetic field tends to increase the contribution of fluid friction entropy generation to the overall entropy generation; in other words, the irreversibilities caused by heat transfer reduced. Therefore, to minimize entropy, Brinkman number and Hartmann Number need to be controlled.

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Figures

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Fig. 1

Schematic of infinite inclined parallel porous plates with applied magnetic field in the normal direction: (a) hydrodynamic conditions and (b) thermal conditions

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Fig. 2

Comparison of the numerical and analytical results [31] for velocity in the absence of R, α with the fixed values of N = 0.1, m = 1, and P = −2

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Fig. 3

Comparison of the numerical and analytical results [31] for microrotation in the absence of R, α with the fixed values of N = 0.1, m = 1, and P = −2

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Fig. 4

Effect of micropolar viscosity on the velocity profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 5

Effect of Hartmann number on the velocity profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 6

Effect of cross flow Reynolds numbers on the velocity profile for micropolar fluid with Re = 1, Gr = 1 and Pr = 0.2

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Fig. 7

Effect of Prandtl number on the velocity profile for micropolar fluid with R = 1, Re = 1, and Gr = 1

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Fig. 8

Effect of Brinkman number on the velocity profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 9

Effect of micropolar viscosity on the microrotation profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 10

Effect of Hartmann number on the microrotation profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 11

Effect of cross flow Reynolds on the microrotation profile for micropolar fluid with Re = 1, Gr = 1, and Pr = 0.2

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Fig. 12

Effect of Prandtl number on the microrotation profile for micropolar fluid with R = 1, Re = 1, and Gr = 1

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Fig. 13

Effect of Brinkman number on the microrotation profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 14

Effect of micropolar viscosity on the temperature profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 15

Effect of cross flow Reynolds on the temperature profile for micropolar fluid with Re = 1, Gr = 1, and Pr = 0.2

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Fig. 16

Effect of Prandtl numbers on the temperature profile for micropolar fluid with R = 1, Re = 1, and Gr = 1

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Fig. 17

Effect of Brinkman number on the temperature profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 18

Effect of micropolar viscosity on the entropy generation profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 19

Effect of Hartmann number on the entropy generation profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 20

Effect of cross flow Reynolds numbers on the entropy generation profile for micropolar fluid with Re = 1, Gr = 1, and Pr = 0.2

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Fig. 21

Effect of Prandtl numbers on the entropy generation profile for micropolar fluid with R = 1, Re = 1, and Gr = 1

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Fig. 22

Effect of Brinkman number on the entropy generation profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 23

Effect of micropolar viscosity on the Bejan number profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 24

Effect of Hartmann numbers on the Bejan number profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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Fig. 25

Effect of cross flow Reynolds numbers on the Bejan number profile for micropolar fluid with Re = 1, Gr = 1, and Pr = 0.2

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Fig. 26

Effect of Prandtl numbers on the Bejan number profile for micropolar fluid with R = 1, Re = 1, and Gr = 1

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Fig. 27

Effect of Brinkman number on the Bejan number profile for micropolar fluid with R = 1, Re = 1, and Pr = 0.2

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