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Research Papers

Multiscale Simulations of Heat Transfer and Fluid Flow Problems

[+] Author and Article Information
Ya-Ling He

Key Laboratory of Thermo-Fluid Science and Engineering of MOE,  School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, People’s Republic of Chinawqtao@mail.xjtu.edu.cn

Wen-Quan Tao1

Key Laboratory of Thermo-Fluid Science and Engineering of MOE,  School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, People’s Republic of Chinawqtao@mail.xjtu.edu.cn

1

Corresponding author.

J. Heat Transfer 134(3), 031018 (Jan 19, 2012) (13 pages) doi:10.1115/1.4005154 History: Revised August 04, 2010; Received September 11, 2010; Published January 19, 2012; Online January 19, 2012

The multiscale problems in the thermal and fluid science are classified into two categories: multiscale process and multiscale system. The meanings of the two categories are described. Examples are provided for multiscale process and multiscale system. In this paper, focus is put on the simulation of multiscale process. The numerical approaches for multiscale processes have two categories: one is the usage of a general governing equation and solving the entire flow field involving a variation of several orders in characteristic geometric scale. The other is the so-called “solving regionally and coupling at the interfaces.” In this approach, the processes at different length levels are simulated by different numerical methods and then information is exchanged at the interfaces between different regions. The key point is the establishment of the reconstruction operator, which transforms the data of few variables of macroscopic computation to a large amount of variables of microscale or mesoscale simulation. Six numerical examples of multiscale simulation are presented. Finally, some research needs are proposed.

Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 6

Schematic of the hybrid simulation in a nanochannel with roughness

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Figure 7

Comparison of velocity distribution for roughened and smooth channel

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Figure 8

Flow past a nanotube simulated by coupled MD and LBM

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Figure 9

Results of flow past a nanotube by MDS and coupled MDS/LBM

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Figure 10

Schematic diagram of FMMR

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Figure 11

Flow around a circular cylinder

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Figure 12

Flow around/through a porous square cylinder

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Figure 13

Comparison of computational times for flow around a solid cylinder

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Figure 14

The isotherm: (a) Ra = 103 , (b) Ra = 104 , (c) Ra = 105 , and (d) Ra = 106 (the results of FLUENT, FVM, LBM, and CFVLBM are shown from left to right)

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Figure 1

Numerical approaches at three geometric scales and their related physics

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Figure 2

Application feasibility of different level numerical methods

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Figure 3

Multiscale transport process in PEM fuel cell

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Figure 4

Cross section of an enhanced surface viewed from an industrial microscope (magnified by ten times)

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Figure 5

Schematic for the coupling between MD and continuum method [21]

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Figure 15

The contour lines of vorticity (a) Ra = 103, (b) Ra = 104, (c) Ra = 105, and (d) Ra = 106 (the results of FLUENT, FVM, LBM, and CFVLBM are shown from left to right)

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Figure 16

Schematic diagram for a full multiscale simulation of PEMFC

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