×

zbMATH — the first resource for mathematics

Reduction in drag and vortex shedding frequency through porous sheath around a circular cylinder. (English) Zbl 1428.76197
Summary: A numerical study on the laminar vortex shedding and wake flow due to a porous-wrapped solid circular cylinder has been made in this paper. The cylinder is horizontally placed, and is subjected to a uniform cross flow. The aim is to control the vortex shedding and drag force through a thin porous wrapper around a solid cylinder. The flow field is investigated for a wide range of Reynolds number in the laminar regime. The flow in the porous zone is governed by the Darcy – Brinkman – Forchheimer extended model and the Navier – Stokes equations in the fluid region. A control volume approach is adopted for computation of the governing equations along with a second-order upwind scheme, which is used to discretize the convective terms inside the fluid region. The inclusion of a thin porous wrapper produces a significant reduction in drag and damps the oscillation compared with a solid cylinder. Dependence of Strouhal number and drag coefficient on porous layer thickness at different Reynolds number is analyzed. The dependence of Strouhal number and drag on the permeability of the medium is also examined.

MSC:
76S05 Flows in porous media; filtration; seepage
76D17 Viscous vortex flows
76D55 Flow control and optimization for incompressible viscous fluids
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Owen, Passive control of VIV with drag reduction, Journal of Fluids and Structures 115 pp 597– (2000)
[2] Roshko, On the wake and drag of bluff bodies, Journal of Aeronautical Science 22 pp 124– (1955) · Zbl 0064.20102
[3] Ozono, Flow control of vortex shedding by a short splitter plate asymmetrically arranged downstream of a cylinder, Physics of Fluids 10 pp 2928– (1999) · Zbl 1149.76504
[4] Ozono, Vortex suppression of the cylinder wake by deflectors, Journal of Wind Engineering and Industrial Aerodynamics 91 pp 91– (2003)
[5] Hwang, Reduction of flow-induced forces on circular cylinder using a detached splitter plate, Physics of Fluids 15 pp 2433– (2003) · Zbl 1186.76240
[6] Nakamura, Omnidirectional reductions in drag and fluctuating forces for a circular cylinder by attaching rings, Journal of Wind Engineering and Industrial Aerodynamics 96 pp 887– (2008)
[7] Phanikumar, Non-Darcy natural convection in high porosity metal foams, International Journal of Heat and Mass Transfer 45 pp 3781– (2002) · Zbl 1006.76552
[8] Vafai, Analysis of surface enhancement by porous substrate, Journal of Heat Transfer 112 pp 700– (1990)
[9] Srinivasan, Aerodynamics of recirculating flow control devices for normal shock/boundary-layer interactions, AIAA Journal 44 pp 751– (2006)
[10] Bruneau, Passive control of the flow around a square cylinder using porous media, International Journal for Numerical Methods of Fluids 46 pp 415– (2004) · Zbl 1060.76035
[11] Bruneau, Control of vortex shedding around a pipe section using a porous sheath, International Journal of Offshore and Polar Engineering 16 pp 90– (2006)
[12] Bruneau, Passive control around the two-dimensional square back Ahmed body using porous devices, Journal of Fluids Engineering 130 pp 61– (2008)
[13] Bruneau, Numerical modeling and passive flow control using porous media, Computers and Fluids 37 pp 488– (2008) · Zbl 1237.76189
[14] Sobera, Subcritical flow past a circular cylinder surrounded by a porous layer, Physics of Fluids 18 pp 38– (2006) · Zbl 1257.76138
[15] Transport Phenomena in Porous Media 3 pp 751– (2005)
[16] Nazar, The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium, International Journal of Heat and Mass Transfer 46 pp 3167– (2003) · Zbl 1121.76391
[17] Khanafer, Numerical analysis of natural convection heat transfer in a horizontal annulus partially filled with a fluid-saturated porous substrate, International Journal of Heat and Mass Transfer 51 pp 1613– (2008) · Zbl 1140.80418
[18] Costa, The role of inertia on fluid flow through disordered porous media, Physics A 266 pp 420– (1999)
[19] Fourar, On the non-linear behavior of a laminar single-phase flow through two and three-dimensional porous media, Advances in Water Resources 27 pp 669– (2004)
[20] Beavers, Boundary condition at a naturally permeable wall, Journal of Fluid Mechanics 30 pp 197– (1967)
[21] Saffman, On the boundary condition at the interface of a porous medium, Studies Applied Mathematics 50 pp 93– (1971) · Zbl 0271.76080
[22] Williamson, Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers, Journal of Fluid Mechanics 206 pp 579– (1989)
[23] Hammache, An experimental study of the parallel and oblique vortex shedding from circular cylinders, Journal of Fluid Mechanics 232 pp 567– (1991)
[24] Perry, The vortex-shedding process behind two-dimensional bluff bodies, Journal of Fluid Mechanics 116 pp 77– (1982)
[25] Nield, Convective Heat Transfer in Porous Media (1998) · Zbl 0993.76024
[26] Vafai, Convective flow and heat transfer in variable-porosity media, Journal of Fluid Mechanics 147 pp 233– (1984) · Zbl 0578.76099
[27] Bhattacharyya, Fluid motion around and through a porous cylinder, Chemical Engineering Science 61 pp 4451– (2006)
[28] Fletcher, Computation Technique for Fluid Dynamics 2 (1998)
[29] Varga, Matrix Iterative Analysis (1962)
[30] Braza, Numerical study and physical analysis of the pressure and velocity field in the near wake of a circular cylinder, Journal of Fluid Mechanics 165 pp 79– (1986) · Zbl 0596.76047
[31] Baranyi, Computation of unsteady momentum and heat transfer from a fixed circular cylinder in laminar flow, Journal of Computational Applied Mechanics 4 pp 13– (2003) · Zbl 1026.80001
[32] Breugem, The laminar boundary layer over a permeable wall, Transport in Porous Media 59 pp 267– (2005) · Zbl 1187.76067
[33] Vafai, Boundary and inertia effects on flow and heat transfer in porous media, International Journal of Heat Mass Transfer 24 pp 195– (1981) · Zbl 0464.76073
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.