Numerical studies of the flow around a circular cylinder by a finite element method

Tuann, S. Y.; Olson, M. D.

doi:10.1016/0045-7930(78)90015-4

Cited by 87 publications

(20 citation statements)

References 14 publications

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“…2-D steady incompressible flow over a circular cylinder above Re=40, in the literature there are also numerical studies on the same flow problem. Fornberg [19,20], Son & Hanratty [42], Tuann & Olson [45] and Dennis & Chang [11] have presented numerical solutions of steady flow past a circular cylinder at Re=300, 600, 500, 100 and 100 respectively, which are much larger than Reynolds number of 40. This fact is important such that, even though the flow is physically fictitious, a mathematical solution exists and also it is possible to obtain a numerical solution as well.…”

Section: Discussion On Driven Cavity Flowmentioning

confidence: 99%

Discussions on driven cavity flow

Ertürk

2008

Numerical Methods in Fluids

155

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SUMMARYThe widely studied benchmark problem, 2-D driven cavity flow problem is discussed in details in terms of physical and mathematical and also numerical aspects. A very brief literature survey on studies on the driven cavity flow is given. Based on the several numerical and experimental studies, the fact of the matter is, above moderate Reynolds numbers physically the flow in a driven cavity is not twodimensional. However there exist numerical solutions for 2-D driven cavity flow at high Reynolds numbers.

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Section: Discussion On Driven Cavity Flowmentioning

confidence: 99%

Discussions on driven cavity flow

Ertürk

2008

Numerical Methods in Fluids

155

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“…The MHD flow past circular cylinder has been studied using an extension to immersed boundary method and concluded that the method is an efficient one to study the MHD problems [25]. Earth's liquid core [26], liquids involved in melting processes, crystal growth processing are some of the branches where the low Prandtl number study is necessary ( ) presence of magnetic field has been analyzed experimentally [35] [36] and later numerically using a spectral method and observed that the applied magnetic field will reduce the oscillating amplitude of lift coefficients [37]. The study of liquid metal flow past a cylinder inside a duct provided means of understanding the effect of magnetic field on Re and found that the imposed magnetic field will shift the appearance of flow instabilities to higher Re [38].…”

Section: Introductionmentioning

confidence: 99%

Prediction of Better Flow Control Parameters in MHD Flows Using a High Accuracy Finite Difference Scheme

Rejeesh¹,

Udhayakumar²,

Sekhar³

et al. 2017

AJCM

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We have successfully attempted to solve the equations of full-MHD model within the framework of ψ ω − formulation with an objective to evaluate the performance of a new higher order scheme to predict better values of control parameters of the flow. In particular for MHD flows, magnetic field and electrical conductivity are the control parameters. In this work, the results from our efficient high order accurate scheme are compared with the results of second order method and significant discrepancies are noted in separation length, drag coefficient and mean Nusselt number. The governing Navier-Stokes equation is fully nonlinear due to its coupling with Maxwell's equations. The momentum equation has several highly nonlinear body-force terms due to full-MHD model in cylindrical polar system. Our high accuracy results predict that a relatively lower magnetic field is sufficient to achieve full suppression of boundary layer and this is a favorable result for practical applications. The present computational scheme predicts that a drag-coefficient minimum can be achieved when , it is found that the heat transfer rate is independent of electrical conductivity of the fluid. From the numerical values of physical quantities, we establish that the order of accuracy of the computed numerical results is fourth order accurate by using the method of divided differences.

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“…Fluid flow analysis around the smooth cylinder were the subject of many authors' studies [8][9][10][11][12][13]. In the literature flow regimes are devided in several states [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Air flow around suspended cables

Gołębiowska

Dutkiewicz

2017

EPJ Web Conf.

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Abstract. The impact of wind on construction structures is essential issue in design and operation. In particular, the wind can cause the dengerous vibrations of slender structures with low rigidity, eg. vibrations of cables of suspension and cable-stayed bridges or high voltage transmision lines, thus understanding of wind flow around such constructions is significant. In the paper the results of the analysis of wind flow around the cables for different Reynolds number is presented. The analysed flow meets the Navier-Stokes and continuity equations. The circle and elipse section of the cable is analysed. The discusion of vorticity, drag and lift coefficients and cases due to different angle of wind flow action is presented. The boundary layer and its infuence on total flow is analysed.

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Numerical studies of the flow around a circular cylinder by a finite element method

Cited by 87 publications

References 14 publications

Discussions on driven cavity flow

Discussions on driven cavity flow

Prediction of Better Flow Control Parameters in MHD Flows Using a High Accuracy Finite Difference Scheme

Air flow around suspended cables

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