Research Papers: Porous Media

Lattice Boltzmann Simulation of Mass Transfer Coefficients for Chemically Reactive Flows in Porous Media

[+] Author and Article Information
A. Xu, L. Shi, J. B. Xu

Department of Mechanical and
Aerospace Engineering,
HKUST Energy Institute,
The Hong Kong University of Science
and Technology,
Hong Kong 999077, China

T. S. Zhao

Fellow ASME
Department of Mechanical and
Aerospace Engineering,
HKUST Energy Institute,
The Hong Kong University of Science
and Technology,
Hong Kong 999077, China
e-mail: metzhao@ust.hk

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received December 23, 2016; final manuscript received October 17, 2017; published online January 23, 2018. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 140(5), 052601 (Jan 23, 2018) (8 pages) Paper No: HT-16-1823; doi: 10.1115/1.4038555 History: Received December 23, 2016; Revised October 17, 2017

We present lattice Boltzmann (LB) simulations for the mass transfer coefficient from bulk flows to pore surfaces in chemically reactive flows for both ordered and disordered porous structures. The ordered porous structure under consideration consists of cylinders in a staggered arrangement and in a line arrangement, while the disordered one is composed of randomly placed cylinders. Results show that the ordered porous structure of staggered cylinders exhibits a larger mass transfer coefficient than ordered porous structure of inline cylinders does. It is also found that in the disordered porous structures, the Sherwood number (Sh) increases linearly with Reynolds number (Re) at the creeping flow regime; the Sh and Re exhibit a one-half power law dependence at the inertial flow regime. Meanwhile, for Schmidt number (Sc) between 1 and 10, the Sh is proportional to Sc0.8; for Sc between 10 and 100, the Sh is proportional to Sc0.3.

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Fig. 1

Demonstration of the boundary location for heterogeneous reaction

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Fig. 2

Schematic drawing of a bank of square rods: (a) periodic structure; (b) a single unit cell

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Fig. 3

Isotherms of forced convection in a bank of square rods (ε=0.51): (a) Re = 20, Pr = 1, (b) Re = 112, Pr = 1, (c) Re = 20, Pr = 7, and (d) Re = 112, Pr = 7

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Fig. 4

Comparison of interfacial heat transfer correlations

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Fig. 5

Unit cells of ordered porous medium: (a) square inline and (b) square staggered

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Fig. 6

Comparison of the dimensionless effective permeability (Ke/L2) for two types of unit cells: (a) ε = 0.97, (b) ε = 0.94, (c), ε = 0.88, and (d) ε = 0.83

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Fig. 7

Comparison of the dimensionless mass transfer coefficient (Sh) for two types of unit cells: (a) ε = 0.97, (b) ε = 0.94, (c), ε = 0.88, and (d) ε = 0.83

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Fig. 8

Geometries of the disordered porous structure: (a) porous structure A, (b) porous structure B, (c) porous structure C, (d) porous structure D, (e) porous structure E, and (f) porous structure F

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Fig. 9

Pore size distribution of the disordered porous structure

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Fig. 10

Streamlines (left-hand side) and concentration field (right-hand side) in porous structure A from creeping flow regime to inertial flow regime: (a) Re = 0.025, (b) Re = 6.75, and (c) Re = 45.53

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Fig. 11

Correlations between Sherwood number and Reynolds number: (a) Sh = a + b RecScd and (b) Sh′ = Sh−a

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Fig. 12

Correlations between Sherwood number and Schmidt number: (a) Sh = a + b RecScd and (b) Sh′ = Sh−a



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