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Research Papers: Natural and Mixed Convection

Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids

[+] Author and Article Information
Eiyad Abu-Nada1

Department of Mechanical Engineering,  King Faisal University, Al-Ahsa 31982, Saudi Arabia; Leibniz Universität Hannover,Institut für Technische Verbrennung, Welfengarten 1a, 30167 Hannover, Germanye-mail: eabunada@kfu.edu.sa

1

Corresponding author.

J. Heat Transfer 133(11), 112502 (Sep 19, 2011) (12 pages) doi:10.1115/1.4004347 History: Received December 03, 2010; Revised May 25, 2011; Published September 19, 2011; Online September 19, 2011

Dissipative particle dynamics with energy conservation (eDPD) was used to study natural convection in liquid domain over a wide range of Rayleigh Numbers. The problem selected for this study was the Rayleigh–Bénard convection problem. The Prandtl number used resembles water where the Prandtl number is set to Pr = 6.57. The eDPD results were compared to the finite volume solutions, and it was found that the eDPD method calculates the temperature and flow fields throughout the natural convection domains correctly. The eDPD model recovered the basic features of natural convection, such as development of plumes, development of thermal boundary layers, and development of natural convection circulation cells (rolls). The eDPD results were presented by means of temperature isotherms, streamlines, velocity contours, velocity vector plots, and temperature and velocity profiles.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 4

(a) RB solution domain and corresponding boundary conditions and (b) Distribution of eDPD particles for the RB problem

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Figure 5

Temperature isotherms for RB (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104 , and (c) 1 × 105

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Figure 6

Streamlines for RB (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104 , and (c) 1 × 105

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Figure 7

RB vector plots (a) Ra = 1 × 104 , (b) 5 × 104 , and (c) 1 × 105

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Figure 8

Temperature profiles at three different sections of the heated wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 , (b) 5 × 104 , and (c) 1 × 105

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Figure 3

Calculation of thermal diffusivity; FD solutions (dashed lines) and eDPD solution (solid lines) (a) Problem geometry (b) snapshot of temperature distribution at t = 10,000 (c) snapshot of temperature distribution at t = 20,000, and (d) snapshot of temperature distribution at t = 40,000

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Figure 2

Schematic of the problem geometry

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Figure 1

Generalized weighting function for dissipative and random force

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Figure 14

Nusselt number distribution along the heated wall using Pr = 6.57 (a) Ra = 1 × 104 (b) 5 × 104 , and (c) 1 × 105

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Figure 9

V velocity profiles at three different sections of the heated wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 , (b) 5 × 104 , and (c) 1 × 105

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Figure 10

U velocity profiles at three different sections of the heated wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 , (b) 5 × 104 , and (c) 1 × 105

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Figure 11

RB V velocity contours (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 , (b) 5 × 104 , and (c) 1 × 105

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Figure 12

RB U velocity contours (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104 , and (c) 1 × 105

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Figure 13

Temperature Profiles at the mid distance between the hot and the cold wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104 , and (c) 1 × 105

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