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Unsteady Viscous Flow over Elliptic Cylinders At Various Thickness with Different Reynolds Numbers  

Kim Moon-Sang (School of Aerospace and Mechanical Engineering, Hankuk Aviation University)
Sengupta Ayan (Department of Aerospace Engineering, Iowa State University)
Publication Information
Journal of Mechanical Science and Technology / v.19, no.3, 2005 , pp. 877-886 More about this Journal
Abstract
Two-dimensional incompressible Navier-Stokes equations are solved using SIMPLER method in the intrinsic curvilinear coordinates system to study the unsteady viscous flow physics over two-dimensional ellipses. Unsteady viscous flows over various thickness-to-chord ratios of 0.6, 0.8, 1.0, and 1.2 elliptic cylinders are simulated at different Reynolds numbers of 200, 400, and 1,000. This study is focused on the understanding the effects of Reynolds number and elliptic cylinder thickness on the drag and lift forces. The present numerical solutions are compared with available experimental and numerical results and show a good agreement. Through this study, it is observed that the Reynolds number and the cylinder thickness affect significantly the frequencies of the force oscillations as well as the mean values and the amplitudes of the drag and lift forces.
Keywords
Unsteady Viscous Flow; Vortex Shedding; SIMPLER Method; Elliptic Cylinder; Navier-Stokes Equations;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
연도 인용수 순위
1 Manzari, M. T., 2003, 'A Time-accurate Finite Element Algorithm for Incompressible Flow Problems,' International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 13, No. 2, pp. 158-177   DOI   ScienceOn
2 Mittal, R. and Balachandar, S., 1996, 'Direct Numerical Simulation of Flow Past Elliptic Cylinders,' Journal of Computational Physics, Vol. 124, pp. 351-367   DOI   ScienceOn
3 Jordan, S. K. and Fromm, J. E., 1972, 'Osicllatory Drag, Lift, and Torque on a Circular Cylinder in a Uniform Flow,' Physics of Fluids, Vol. 15, No. 3, pp. 371-376   DOI
4 Kang, S. and Choi, H., 1999, 'Laminar Flow Past a Rotating Circular Cylinder,' Physics of Fluids, Vol. 11, No. 11， pp. 3312-3321   DOI
5 Chou, M H. and Huang, W., 1996, 'Numerical Study of High-Reynolds-Number Flow Past a Bluff Object,' International Journal for Numerical Methods in Fluids, Vol. 23, pp. 711-732   DOI   ScienceOn
6 Perry, A. E, Chong, M. S. and Lim, T. T., 1982, 'The Vortex-Shedding Process Behind Two-Dimensional Bluff Bodies,' Journal of Fluid Mechanics, Vol. 116, pp. 77-90   DOI   ScienceOn
7 D'Alessio, S. J. D., Dennis, S. C. R. and Nguyen, P., 1999, 'Unsteady Viscous Flow Past an lmpulsively Started Oscinating and TransIating Elliptic Cylinder,' Journal of Engineering Mathematics, Vol. 35, pp. 339-357   DOI
8 Berger, E. and Wille, R., 1972, 'Periodic Flow Phenomena,' Ann. Rev. Fluid Mech., Vol. 4, pp. 313-340   DOI   ScienceOn
9 Blackburn, H. M. and Henderson, R. D., 1999, 'A Study of Two-Dimensional Flow Past an Oscillating Cylinder,' Journal of Fluid Mechanics, Vol. 385, pp. 255-286   DOI
10 Badr, H. M., Dennis, S. C. R. and Kocabiyik, S., 2001, 'Numerical Simulation of the Unsteady Flow Over an Elliptic Cylinder at Different Orientations,' International Journal for Numerical Methods in Fluids, Vol. 37, pp. 905-931   DOI   ScienceOn
11 Sengupta, A., 2003, 'Numerical Simulation of Unsteady Incompressible Row Passed Two- Dimensional Elliptic Cylinders,' MS Thesis, Iowa state University
12 Park, J., Kwon, K. and Choi, H., 1998, 'Numerical Solutions of Flow Past a Circular Cylinder at Reynolds Number up to 160,' KSME International Journal, Vol. 12, No. 6, pp. 1200-1205
13 Wilhamson, C. H. K., 1996, 'Vortex Dynamics in the Cylinder Wake,' Annual Review of Fluid Mechanics, Vol. 28, pp. 477-539   DOI   ScienceOn
14 Patankar, S. V., 1980, 'Numerical Heat Transfer and Fluid Flow,' Hemisphere, New York
15 Patankar, S. V. and Spalding, D. A., 1972, 'A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows,' International Journal of Heat and Mass Transfer, Vol. 15, pp. 1787-1806   DOI   ScienceOn
16 Patel, V. A., 1981, 'Flow Around the Impulsively Started Elliptic Cylinder at Various Angles of Attack,' Computers and Flulds, Vol. 9, No. 4, pp. 435-462   DOI   ScienceOn
17 Park, D. S. , Ladd, D. M. and Hendricks, E. W., 1994, 'Feedback Control of von Karman Vortex Shedding Behind a Circular Cylinder at Low Reynolds Numbers,' Physics of Fluids, Vol. 6, No. 7, pp. 2390-2405   DOI   ScienceOn
18 Nair, M. T. and Sengupta, T. K., 1996, 'Onset of Asymmetry : Flow Past Circular and Elliptic Cylinders,' International Journal for Numerical Methodss in Fluids, Vol. 23, pp. 1327-1345   DOI   ScienceOn
19 Nair, M. T. and Sengupta, T. K., 1997, 'Unsteady Flow Past Elliptic Cylinders,' Journal of Fluids and Structures, Vol. 11， pp. 555-595   DOI   ScienceOn
20 Ota, T. , Nishiyama, H. and Taoka, Y., 1987, 'Flow Around an Elliptic Cylinder in the Critical Reynolds Number Regime,' Journal of Fluids Engineering, Vol. 109, pp. 149-155   DOI
21 Lim, C. K., 1991, 'Numerical Simulation of Non-lifting Flow Over Two-dimensional Elliptic Cylinders,' MS Thesis, Iowa State University
22 Linnick, M. N. and Fasel, H. F., 2003, 'A High-Order Immersed Boundary Method for Unsteady Incompressible Flow Calculations, AIAA Paper 2003-1124