Prediction of the critical Reynolds number for flow past a circular cylinder

Kumar, B. V. Rathish; Mittal, Sanjay

doi:10.1016/j.cma.2005.10.009

Cited by 83 publications

(52 citation statements)

References 23 publications

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“…Evidently, the knowledge of the Reynolds number associated to the onset of unsteadiness, which 40 corresponds to the Hopf bifurcation in the structures under concern [26], is of major interest and this is the main purpose of the present work. The Hopf bifurcation corresponds to the first bifurcation of the steady flow solution for a large enough (critical) value of the Reynolds number towards a time-periodic solution.…”

Section: Introductionmentioning

confidence: 99%

From steady to unsteady laminar flow in model porous structures: an investigation of the first Hopf bifurcation

2016

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Section: Introductionmentioning

confidence: 99%

From steady to unsteady laminar flow in model porous structures: an investigation of the first Hopf bifurcation

2016

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“…The fundamentals of flow around an isolated single circular cylinder have been well studied (eg., Li et al, 1991;Kumar and Mittal, 2006;Wissink and Rodi, 2008). In natural stream, however, cylinder-like structures can be found not only singly, but also in groups.…”

Section: Introductionmentioning

confidence: 95%

Numerical simulation of flow past two circular cylinders in tandem and side-by-side arrangement at low Reynolds numbers

Ahn

Hwang

2015

KSCE J Civ Eng

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A numerical simulation was used to compare the characteristics of flows past two cylinders in tandem versus side-by-side arrangements. Numerical experiments were performed at various Reynolds numbers and with different distances between the two cylinders. Diverse characteristics of flow, such as drag force, vortex shedding, and pressure distributions were investigated here. In tandem arrangement, at a certain distance, the drag coefficients of both cylinders change abruptly. However, at other distances, the drag coefficients vary somewhat linearly with the distance between cylinders. In side-by-side deployment, when the distance is more than three times the cylinders' diameter, the higher Reynolds number has a smaller drag coefficient (as in the case of a single cylinder). At points where the flow pattern, drag, and pressure coefficients change significantly, the critical spatial ratios between the two cylinders were determined at different Reynolds numbers. In addition to the study of such changes in flow characteristics, the effect of flow pattern on the pressure field and drag force coefficients, as well as their relationship, was also investigated.

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“…Details of the formulation for the LSA can be found in our earlier articles [7,9,12]. The non-linear equation system resulting from the finite element discretization of the flow equations is solved using the generalized minimal residual technique [13] in conjunction with diagonal preconditioners.…”

Section: The Finite Element Formulationmentioning

confidence: 99%

Global linear stability analysis of time‐averaged flows

Mittal

2007

Numerical Methods in Fluids

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SUMMARYThe global linear stability analysis (LSA) of stationary/steady flows has been applied to various flows in the past and is fairly well understood. The LSA of time-averaged flows is explored in this paper. It is shown that the LSA of time-averaged flows can result in useful information regarding its stability. The method is applied to study flow past a cylinder at Reynolds number (Re) beyond the onset of vortex shedding. Compared with the direct numerical simulation, LSA of the Re = 100 steady flow severely underpredicts the vortex shedding frequency. However, the LSA of the time-averaged flow results in the correct value of the non-dimensional frequency, St, of the associated instability.

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Prediction of the critical Reynolds number for flow past a circular cylinder

Cited by 83 publications

References 23 publications

From steady to unsteady laminar flow in model porous structures: an investigation of the first Hopf bifurcation

From steady to unsteady laminar flow in model porous structures: an investigation of the first Hopf bifurcation

Numerical simulation of flow past two circular cylinders in tandem and side-by-side arrangement at low Reynolds numbers

Global linear stability analysis of time‐averaged flows

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