Shear Effects on Flow past a Square Cylinder at Moderate Reynolds Numbers
Publication: Journal of Engineering Mechanics
Volume 138, Issue 1
Abstract
Direct numerical simulation (DNS) and large eddy simulation (LES) with a dynamic Smagorinsky subgrid model are performed to investigate the flow past a square cylinder under the influence of velocity shear at the inlet at moderate Reynolds numbers ( ). The shear rate is expressed by a dimensionless shear parameter , which is based on the velocity gradient, side length of the cylinder, and upstream velocity at the center plane of the cylinder. Shear parameter varies from 0 to 0.2 in this study. Several Reynolds numbers are considered to study the Reynolds number dependence and the Strouhal number were found to have no significant variation with the shear parameter. The peak frequency of drag coefficient fluctuation becomes identical with that of the lift force coefficient when . The vortices on the low-velocity side disappear in the far wake under the strong shear condition. The stagnation point moves to the high-velocity side and the movement increases with an increase in shear parameter. An interesting finding is that the lift force acts from the low-velocity to the high-velocity side, which is opposite to the case of a circular cylinder under the same inflow situation, whereas the drag force shows little variation with shear parameter.
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Acknowledgments
The writers would like to acknowledge the support provided by the Ministry of Education, Culture, Sports, Science and Technology, Japan, through the Global COE Program, MESSC-JP2008–2012. This research was funded in part by Natural Science Foundation of China (NSFC) Grant Nos. NSFC50978202 and NSFC51021140005; and Shanghai Pujang Program No. UNSPECIFIED10PJ1409700. The writers thank the referees whose constructive comments led to an improved paper.
References
Ayukawa, K., Ochi, J., and Hirao, T. (1993). “Effects of shear rate on the flow around a square cylinder in a uniform shear flow.” J. Wind Eng. Ind. Aerodyn., 50, 97–106.
Bearman, P. W., and Zdravkovich, M. M. (1978). “Flow around a circular cylinder near a plane boundary.” J. Fluid Mech., 89(01), 33–47.
Cao, S., Ozono, S., Hirano, K., and Tamura, Y. (2007). “Vortex shedding and aerodynamic forces on a circular cylinder in linear shear flow at subcritical Reynolds number.” J. Fluids Struct., 23(5), 703–714.
Cao, S., Ozono, S., Tamura, Y., Ge, Y., and Kikugawa, H. (2010). “Numerical simulation of Reynolds number effects on velocity shear flow around a circular cylinder.” J. Fluids Struct., 26(5), 685–702.
Cheng, M., Whyte, D. S., and Lou, J. (2007). “Numerical simulation of flow around a square cylinder in uniform shear flow.” J. Fluids Struct., 23(2), 207–226.
Germano, M., Piomelli, U., Moin, P., and Cabot, W. H. (1991). “A dynamic subgrid-scale viscosity model.” Phys. of Fluids, A.” 3(7), 1760–1765.
Hwang, R., and Sue, Y. E. (1997). “Numerical simulation of shear effect on vortex shedding behind a square cylinder.” Int. J. Numer. Meth. Fluid, 25(12), 1409–1420.
Kim, J., and Moin, P. (1985). “Application of a fractional-step method to incompressible Navier-Stokes equations.” J. Comput. Phys., 59(2), 308–323.
Kiya, M., Tamura, H., and Arie, M. (1980). “Vortex shedding from a circular cylinder in moderate-Reynolds-number shear flow.” J. Fluid Mech., 101(04), 721–735.
Kravchenko, A. G., and Moin, P. (2000). “Numerical studies of flow over a circular cylinder at .” Phys. Fluids, 12(2), 403–417.
Lilly, D. K. (1992). “A proposed modification of the Germano subgrid-scale closure model.” Phys. Fluids, A, 4(3), 633–635.
Norberg. (1993). “Flow around rectangular cylinders: Pressure forces and wake frequencies.” J. Wind Eng. Ind. Aerodyn., 49(1–3), 187–196.
Okajima, A. (1982). “Strouhal numbers of rectangular cylinders.” J. Fluid Mech., 123, 379–398.
Onitsuka, S., Ozono, S., Cao, S., and Wakasugi, Y. (2000). “Flow around rectangular cylinders in linear shear flow.” 16th Japanese National Wind Engineering Symp., Japan Association for Wind Engineering, Tokyo, 279–284.
Saha, K., Biswas, G., and Muralidhar, K. (1999). “Influence of inlet shear on structure of wake behind a square cylinder.” J. Eng. Mech., 125(3), 359–363.
Sohankar, A., Noberg, C., and Davidson, L. (1999). “Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers.” Phys. Fluids, 11(2), 288–306.
Williamson, C. H. K. (1996). “Vortex dynamics in the cylinder wake.” Annu. Rev. Fluid Mech., 28(1), 477–539.
Zang, Y., Street, R. L., and Koseff, J. R. (1994). “A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates.” J. Comput. Phys., 114(1), 18–33.
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© 2012 American Society of Civil Engineers.
History
Received: Jul 14, 2010
Accepted: Jul 27, 2011
Published online: Dec 15, 2011
Published in print: Jan 1, 2012
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