An application of the vorticity–vector potential method to laminar cube flow

Raul, R.; Bernard, Peter S.; Buckley, Frank T.

doi:10.1002/fld.1650100803

Cited by 24 publications

(11 citation statements)

References 12 publications

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“…To get more confidence in the present simulation, the code has also been validated for flow past a cube by comparing the drag coefficient available in the literature and presented in Table I. Raul et al 23 carried out both experimental and numerical study up to Reϭ100. It has been seen from Table I that the present results match quite well with those of Raul et al 23 The dependency of the domain size on the flow field is also undertaken at Reϭ290 by taking three different domain sizes ͓ϵ(L u ϩL d )ϫH͔ namely, (4ϩ18)ϫ10, (6ϩ22)ϫ14 and (8ϩ26)ϫ18.…”

Section: Mathematical Model and Numerical Techniquementioning

confidence: 99%

“…Raul et al 23 carried out both experimental and numerical study up to Reϭ100. It has been seen from Table I that the present results match quite well with those of Raul et al 23 The dependency of the domain size on the flow field is also undertaken at Reϭ290 by taking three different domain sizes ͓ϵ(L u ϩL d )ϫH͔ namely, (4ϩ18)ϫ10, (6ϩ22)ϫ14 and (8ϩ26)ϫ18. The drag coefficient and Strouhal for the three different cases are listed in Table II.…”

Section: Mathematical Model and Numerical Techniquementioning

confidence: 99%

“…Though quite a large number of studies related to sphere wake exist, there is a dearth of literature on the topic of flow past a stationary cube. Raul et al 23 have carried out both numerical and experimental study for flow past a stationary cube at Reynolds number ͑based on cube dimension and freestream velocity͒ range of 10-100. They have used quarter of the domain for their calculations.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional numerical simulations of the transition of flow past a cube

Saha

2004

Physics of Fluids

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The wake of a cube placed in a uniform flow is numerically studied. The present study concentrates on the first two transitions, one spatial and the other a temporal one. Computations are carried out for a Reynolds number range of 20-300. Starting from a steady symmetric flow, the transition to asymmetric steady flow occurs at a Reynolds number between 216 and 218. The loss of symmetry increases with increasing Reynolds number. The asymmetric steady flow experiences a Hopf bifurcation at a Reynolds number between 265 and 270 and becomes unsteady but maintains the planar symmetry. The transitions of the present study are compared to the transitions of flow past a square cylinder and a sphere. The transition sequence and flow structures match closely to that of a sphere. The drag and side force coefficients are calculated and it is observed that they are in accordance with the spatial structures of the wake. The drag coefficient is found to decrease with Reynolds number in the steady flow regime. Similarly, one component of the side force coefficients increases while the other component remains zero with increasing Reynolds number for the asymmetric flow.

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Section: Mathematical Model and Numerical Techniquementioning

confidence: 99%

Section: Mathematical Model and Numerical Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three-dimensional numerical simulations of the transition of flow past a cube

Saha

2004

Physics of Fluids

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“…In the case of a cube with a normal face to the flow, the basic flow exhibits orthogonal symmetry, namely four symmetry planes inclined at 45 degrees to each other. The wake of such an obstacle was investigated numerically in Raul, Bernard & Buckley (1990), Saha (2004) and in Saha (2006). The studies of Raul et al (1990) concentrate on laminar flow at Reynolds numbers ranging from 10 to 100.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation of flow behind a cube for moderate Reynolds numbers

et al. 2014

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The wake behind a cube with a face normal to the flow was investigated experimentally in a water tunnel using laser induced fluorescence (LIF) visualisation and particle image velocimetry (PIV) techniques. Measurements were carried out for moderate Reynolds numbers between 100 and 400 and in this range a sequence of two flow bifurcations was confirmed. Values for both onsets were determined in the framework of Landau's instability model. The measured longitudinal vorticity was separated into three components corresponding to each of the identified regimes. It was shown that the vorticity associated with a basic flow regime originates from corners of the bluff body, in contrast to the two other contributions which are related to instability effects. The present experimental results are compared with numerical simulation carried out earlier by Saha (Phys.

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“…However, natural convection in a confined system is inherently three-dimensional and improved access to computers of sufficient capacity now permits us to simulate the heat and mass transfer processes in systems with three-dimensional geometries. Studies on three-dimensional systems consisting of either a single-phase fluid or a saturated porous medium have been performed by Chorin (1967), Aziz and Heliums (1967), Williams (1969), Hirt and Cook (1972), Hoist and Aziz (1972), de Vahl Davis (1973, 1977), Ozoe et al (1976Ozoe et al ( , 1990, Daiguji (1978), Banerjee (1979a, 1979b), Home (1979), Raul et al (1990), andFusegi et al (1991).…”

Section: Introductionmentioning

confidence: 98%

Three-Dimensional Natural Convection in a Confined Fluid Overlying a Porous Layer

Singh

Leonardi

Thorpe

1993

Journal of Heat Transfer

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This paper presents a numerical study of three-dimensional, laminar natural convection in an enclosure containing a fluid layer overlying a porous layer saturated with the same fluid. The Brinkman-extended Darcy formulation is used to model fluid flow in the porous layer as this facilitates the imposition of a no-slip boundary condition at the fluid/porous layer interface. The enclosure is heated from one side wall and cooled from an opposite wall, while the remaining walls are adiabatic. The mathematical analysis is carried out in terms of a vorticity-vector potential formulation that ensures the conservation of mass. The governing equations in nondimensional form are transformed into parabolic equations by means of a false transient method in order to facilitate a solution procedure by an alternating direction implicit method. Accuracy of the numerical solutions with respect to uniformly and nonuniformly spaced grid points has been tested by performing extensive numerical experiments. As expected, it is found that the intensity of free convection is much more profound in the fluid layer. The numerical results indicate that penetration of the fluid into the porous region depends strongly upon the Darcy and Rayleigh numbers. The effect of the ratio of thermal conductivities (porous to fluid regions) is to intensify the convection current in the fluid layer.

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An application of the vorticity–vector potential method to laminar cube flow

Cited by 24 publications

References 12 publications

Three-dimensional numerical simulations of the transition of flow past a cube

Three-dimensional numerical simulations of the transition of flow past a cube

Experimental investigation of flow behind a cube for moderate Reynolds numbers

Three-Dimensional Natural Convection in a Confined Fluid Overlying a Porous Layer

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