Flow in two-sided lid-driven cavities: 

non-uniqueness, instabilities, and cellular structures

Kuhlmann, Hendrik C.; Wanschura, M.; Rath, H. J.

doi:10.1017/s0022112096004727

Cited by 143 publications

(127 citation statements)

References 20 publications

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“…Albensoeder, Kuhlmann & Rath (2001a) found several saddle-node bifurcations of the twodimensional steady flow leading to non-uniqueness. Their work was preceded by Kuhlmann, Wanschura & Rath (1997) who performed numerical and experimental investigations, which delivered both stationary base flows under variation of the cavity aspect ratio and the two Reynolds numbers associated with the moving walls; both in their experiments and in the associated theoretical work, the basic flow is considered homogeneous along the third spatial direction. Subsequently, a global instability analysis delivered the critical conditions as a function of these parameters.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional flow instability in a lid-driven isosceles triangular cavity

et al. 2011

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Linear three-dimensional modal instability of steady laminar two-dimensional states developing in a lid-driven cavity of isósceles triangular cross-section is investigated theoretically and experimentally for the case in which the equal sides form a rectangular córner. An asymmetric steady two-dimensional motion is driven by the steady motion of one of the equal sides. If the side moves away from the rectangular córner, a stationary three-dimensional instability is found. If the motion is directed towards the córner, the instability is oscillatory. The respective critical Reynolds numbers are identified both theoretically and experimentally. The neutral curves pertinent to the two configurations and the properties of the respective leading eigenmodes are documented and analogies to instabilities in rectangular lid-driven cavities are discussed.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional flow instability in a lid-driven isosceles triangular cavity

et al. 2011

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“…Three dimensional characteristics in rectangular cavity flows have been observed by several researchers in both numerical and experimental setups, e.g. Maull and East (1963) (2014) for open cavities and by Kuhlmann et al (1997) in liddriven configurations. Evidence of 3D modulations of the flow in trapped vortex cells has also been pointed in several investigations under VortexCell2050 project, both by numerical simulations, e.g.…”

Section: Three-dimensional Properties Of the Flowmentioning

confidence: 94%

Flow regimes in a trapped vortex cell

Lasagna

Iuso

2016

Exp Fluids

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This paper presents results of an experimental investigation on the flow in a trapped vortex cell embedded into a flat plate and interacting with a zeropressure-gradient boundary layer. The objective of the work is to describe the flow features and elucidate some of the governing physical mechanisms, in light of recent investigations on flow separation control using vortex cells. Hot-wire velocity measurements of the shear layer bounding the cell and of the boundary layers upstream and downstream are reported, together with spectral and correlation analyses of wall-pressure fluctuation measurements. Smoke flow visualisations are reported to provide qualitative insight into some relevant features of the internal flow, namely a large-scale flow unsteadiness and possible mechanisms driving the rotation of the vortex core. Results are presented for two very different regimes: a low Reynolds number case where the incoming boundary layer is laminar and its momentum thickness is small compared to the cell opening, and a moderately high Reynolds number case, where the incoming boundary layer is turbulent and the ratio between the momentum thickness and the opening length is significantly larger than in the first case. Implications of the present findings to flow control application of trapped vortex cells are also discussed.

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“…The presence of primary and secondary eddies, flow with different aspect ratios, exploiting different boundary conditions have made the lid driven cavity flows as an attractive choice for the comparison of the numerical schemes. Kuhlmann et al (1997) have studied the flow inside two sided cavity. They investigated the asymmetric solution inside two sided channel with facing walls.…”

Section: Introductionmentioning

confidence: 99%

Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

Fayyaz¹,

Shah

2018

Int. j. adv. appl. sci.

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In this paper, accurate and efficient calculations of the flow inside different types of cavities are presented. The incompressible Navier-Stokes equations are expressed in generalized curvilinear coordinates using artificial compressibility method. The governing equation in conservative form is solved numerically using an upwind compact finite difference scheme. The solution algorithm for solving the resulting linear system of equation is approximate factorization based ADI scheme. The computed results are compared with the results in the literature and the agreement is good. Also the presence of multiple solution and critical value of aspect ratio and Reynolds number for two sided cavity calculated and compared.

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Flow in two-sided lid-driven cavities: non-uniqueness, instabilities, and cellular structures

Cited by 143 publications

References 20 publications

Three-dimensional flow instability in a lid-driven isosceles triangular cavity

Three-dimensional flow instability in a lid-driven isosceles triangular cavity

Flow regimes in a trapped vortex cell

Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

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