Analysis of Flow Field Around a Cylinder with Porous Media Layer

doi:10.19596/j.cnki.1001-246x.8441

Abstract

Abstract:

Flow around a square cylinder with porous media is numerically simulated by means of the lattice Boltzmann equation in Darcy-Brinkman-Forchheimer force model, and influence of porous media on flow field characteristics of bluff body is studied. It shows that: Compared with a impermeable cylinder, the flow structure is modulated by the porous media layer under certain parameters. Evolution of the shear layer tends to be more symmetrical and stable, which reduces the interaction of vortex motions in the wake region and makes the vortex shedding more periodic, thus reducing effectively the amplitude of lift fluctuation, but increasing the drag in some extent. At the same time, we study surface porous media effect on square column under high Reynolds number. It shows that the porous medium wall makes wake region of the shear layer farther apart, reduces the wake turbulence kinetic energy, and moves the Reynolds stress peak of the mobile to wake region, suppresses the momentum exchange on either side of the square column, makes the momentum exchange occurred in wake region and the vortex street of the wake more regular.

Key words: lattice Boltzmann method, porous media, flow around bluff body, lift coefficient

Pin-liang LIN, Huan-huan FENG, Yu-hong DONG. Analysis of Flow Field Around a Cylinder with Porous Media Layer[J]. Chinese Journal of Computational Physics, 2022, 39(4): 418-426.

Figures/Tables 11

Fig.1 A schematic of physical model

Table 1 Numerical verification of flow around a square column (Re = 100)

	c_lrms	C_d	St
Singh等^[22]	0.161	1.52	0.159
Present	0.159	1.51	0.158

Table 2 Numerical verification of porous square columns (Re = 200)

h/D	ϵ	Da	C_d ^[23]	C_d(present)
0.15	0.4	0.000 1	1.79 ± 0.08	1.80
0.15	0.4	0.000 01	1.62 ± 0.06	1.66

Table 3 Aerodynamic parameters and Strauhal numbers of porous square columns with different thicknesses

h/D	C_d	C_lrms	Δ C_d	St
0	1.8	1.14	2.4	0.149 5
10%	2.13	1.139	1.8	0.164 8
15%	2.13	1.05	3.38	0.180 1
20%	2.24	0.13	0.618	0.180 1
25%	2.27	0.37	1.41	0.181 6
30%	2.26	0.7	2.26	0.143 4

Fig.2 Velocity phase diagram at measuring point P

Fig.3 Spectrum diagram of v at measuring point P under the condition of porous media wall with different thickness

Table 4 Dynamic parameters of a porous square column and a solid square column at different Reynolds numbers

Re	Case	C_d	C_lrms
1 000	实心方柱	1.45	1.748
1 000	多孔方柱	2.147	0.749
3 000	实心方柱	1.47	2.66
3 000	多孔方柱	1.90	0.83

Fig.4 Instantaneous vorticity cloud at different Reynolds numbers

Fig.5 Time-averaged vorticity cloud diagrams

Fig.6 Cloud of time-averaged turbulent kinetic energy

Fig.7 Time-averaged Reynolds stress cloud diagrams

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