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Research Papers: Forced Convection

Numerical Investigation of Local Entropy Generation for Laminar Flow in Rotating-Disk Systems

[+] Author and Article Information
Mohammad Shanbghazani

Department of Mechanical Engineering, Islamic Azad University, Ilkhchi Branch, Emam Street, Ilkhchi 51839-87173, Iranshanbghazani@iauil.ac.ir

Vahid Heidarpoor

Department of Mechanical Engineering, Urmia University, Sero Road, Urmia 165-57153, Iranvahid.heidarpoor@gmail.com

Marc A. Rosen

Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, Oshawa, ON, L1H 7K4, Canada

Iraj Mirzaee

Department of Mechanical Engineering, Urmia University, Urmia 165-57153, Iran

J. Heat Transfer 132(9), 091701 (Jun 28, 2010) (7 pages) doi:10.1115/1.4001612 History: Received June 30, 2009; Revised March 04, 2010; Published June 28, 2010; Online June 28, 2010

The entropy generation is investigated numerically in axisymmetric, steady-state, and incompressible laminar flow in a rotating single free disk. The finite-volume method is used for solving the momentum and energy equations needed for the determination of the entropy generation due to heat transfer and fluid friction. The numerical model is validated by comparing it to previously reported analytical and experimental data for momentum and energy. Results are presented in terms of velocity distribution, temperature, local entropy generation rate, Bejan number, and irreversibility ratio distribution for various rotational Reynolds number and physical cases, using dimensionless parameters. It is demonstrated that increasing rotational Reynolds number increases the local entropy generation rate and irreversibility rate, and that the irreversibility is mainly due to heat transfer while the irreversibility associated with fluid friction is minor.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the flow for a rotating disk

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Figure 2

Physical model of a single disk

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Figure 3

Axial variation of velocity components near a disk for Reϕ=4×104

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Figure 4

Axial variation of nondimensional total velocity for Reϕ=4×104

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Figure 5

Axial variation of temperature near an isothermal disk for Reϕ=4×104

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Figure 6

Radial variation of (a) entropy generation rate, (b) radial velocity, (c) tangential velocity, (d) axial velocity, and (e) dimensionless temperature, for several values of z at Reϕ=4×104

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Figure 7

Axial variation of (a) entropy generation rate, (b) radial velocity, (c) tangential velocity, (d) axial velocity, and (e) temperature

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Figure 8

Variation of radial entropy generation rate for several values of Reϕ at wall (disk)

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Figure 14

Axial variation of radial irreversibility ratio profiles at Reϕ=9.9×105

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Figure 13

Radial irreversibility ratio profiles on the disk for different Reϕ

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Figure 12

Radial Bejan number profiles at Reϕ=9.9×105 for several values of z

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Figure 11

Radial Bejan number profiles at disk (wall) for several values of Reϕ

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Figure 10

Axial distribution of entropy generation rate at various radial locations for Reϕ=4×104

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Figure 9

Variation of axial entropy generation rate for several values of Reϕ at r/a=0.5

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