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Research Papers

Heat Transfer and Entropy Generation Analysis of Bingham Plastic Fluids in Circular Microchannels

[+] Author and Article Information
Mohammad-Reza Mohammadi

Department of Mechanical Engineering,
University of Shahrood,
Shahrood 3619995161-316, Iran

Ali Jabari Moghadam

Associate Professor
Department of Mechanical Engineering,
University of Shahrood,
Shahrood 3619995161-316, Iran
e-mail: jm.ali.project@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received June 16, 2014; final manuscript received June 10, 2015; published online September 22, 2015. Assoc. Editor: Arun Muley.

J. Thermal Sci. Eng. Appl 7(4), 041019 (Sep 22, 2015) (11 pages) Paper No: TSEA-14-1149; doi: 10.1115/1.4031425 History: Received June 16, 2014; Revised June 10, 2015

The thermal characteristics of Bingham plastic fluid flows are analyzed in circular microchannels under uniform wall heat flux condition. The analytic approach presented here reveals that the governing parameters are Bingham number, dimensionless radius of the plug flow region, and Brinkman number. The results demonstrate that there is a strong influence of viscous dissipation on heat transfer and entropy generation for Brinkman numbers greater than a specific value. With increasing the Brinkman number and dimensionless radius of the plug flow region, entropy generation is increased, while the Nusselt number is decreased. The influence of these parameters on the entropy generation from heat transfer is strongly higher than the entropy generation from fluid friction. The average dimensionless total entropy shows that the Bingham plastic fluids generate entropy more than Newtonian fluids; also, an increase in the dimensionless radius of the plug flow region results in increasing the average dimensionless total entropy generation. By letting the dimensionless radius of the plug flow region equal to zero, the generalized expressions and results will be simplified to Newtonian fluids.

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Figures

Grahic Jump Location
Fig. 1

Dimensionless velocity profiles for various values of Bn

Grahic Jump Location
Fig. 2

Dimensionless temperature profiles for various values of Bn: (a) Br = 0, (b) Br = 0.01, and (c) Br = 1; (d) dimensionless temperature profiles for various values of Br

Grahic Jump Location
Fig. 3

Effect of Br on the absolute maximum values of the dimensionless temperature for various values of Bn

Grahic Jump Location
Fig. 4

Dimensionless radial temperature gradient profiles for various values of Bn: (a) Br = 0, (b) Br = 0.01, and (c) Br = 1; (d)dimensionless radial temperature gradient profiles for various values of Br

Grahic Jump Location
Fig. 5

(a) Nusselt number versus Bn for different Br and (b) Nusselt number versus Br for different Bn

Grahic Jump Location
Fig. 6

Dimensionless entropy generation from fluid friction (a) Br = 0.01 and (b) Br = 0.5; from heat transfer (c) Br = 0.01 and (d) Br = 0.5 for various values of Bn

Grahic Jump Location
Fig. 7

Dimensionless entropy generation from: (a) fluid friction and (b) heat transfer, for various values of Br

Grahic Jump Location
Fig. 8

Dimensionless total entropy generation profiles for various values of Bn: (a) Br = 0.01 and (b) Br = 0.5; (c) for various values of Br

Grahic Jump Location
Fig. 9

Average dimensionless fluid friction, heat transfer and total entropy generation profiles: (a) Br = 1 and (b) for various values of Br. Average irreversibility distribution ratio profiles for various values of (c) Br and (d) Bn.

Grahic Jump Location
Fig. 10

Bejan number profiles for various values of Bn: (a) Br = 0.1 and (b) Br = 0.5; (c) Bejan number profiles for various values of Br

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