Numerical Modeling of Flow and Hydrodynamic Forces around a Piggyback Pipeline near the Seabed
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 133, Issue 4
Abstract
Steady boundary layer flows around a two-cylinder configuration near a plane wall is investigated numerically. The Reynolds-averaged Navier-Stokes equations are solved using an upwind finite-element method with a turbulence model closure. The numerical model is validated against independent experimental data for flow past a single cylinder near a plane wall. The two cylinders investigated in the present study are structured in the so-called piggyback configuration, in which the small cylinder is placed directly above the large cylinder. The diameter ratio of the small cylinder to the large cylinder is set at a constant value of 0.2. Different values of the gap between the large cylinder and the plane wall and the spacing between the two cylinders are investigated. The effects of the gap ratio and the spacing ratio on the flow around and the hydrodynamic forces on the cylinders are investigated. Four vortex shedding modes are found around the two-cylinder system. It is found that the vortex shedding mode is dependent on the gap and spacing ratios defined in this study. The variations of the hydrodynamic forces with the gap and spacing ratios are also quantified.
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Acknowledgments
The writers would like to acknowledge the support from the Australia Research Council through ARC Discovery Project Program Grant No. DP0557060 and the Natural Science Foundation of China through Joint Research Fund for Overseas Chinese Young Scholars Grant No. 50428908.
References
Bearman, P. W., and Wadcock, A. J. (1973). “Interaction between a pair of circular-cylinders normal to a stream.” J. Fluid Mech., 61,499–511.
Bearman, P. W., and Zdravkovich, M. M. (1978). “Flow around a circular cylinder near a plane boundary.” J. Fluid Mech., 89(1), 33–48.
Brørs, B. (1999). “Numerical modeling of flow and scour at pipelines.” J. Hydraul. Eng., 125(5), 511–523.
Fredsøe, J., Sumer, B. M., Adersen, J., and Hansen, E. A. (1985). “Transverse vibrations of a cylinder very close to a plane wall.” J. Offshore Mech. Arct. Eng., 109, 52–60.
Grass, A. J., Raven, P. W. J., Stuart, R. J., and Bray, J. A. (1984). “The influence of boundary layer velocity gradients and bed proximity on vortex shedding from free spanning pipelines.” J. Energy Resour. Technol., 106, 70–78.
Kim, H. J., and Durbin, P. A. (1988). “Investigation of the flow between a pair of circular cylinders in the flopping regime.” J. Fluid Mech., 196, 431–448.
Kiya, M. (1968). “Study on the turbulent shear flow past a circular cylinder.” Bulletin Faculty of Engineering, Hokkaido Univ., 50, 1–100.
Lei, C., Cheng, L., Armfield, S. W., and Kavanagh, K. (2000). “Vortex shedding suppression for flow over a circular cylinder near a plane boundary.” Ocean Eng., 27, 1109–1127.
Lei, C., Cheng, L., and Kavanagh, K. (1999). “Re-examination of the effect of a plane boundary on force and vortex shedding of a circular cylinder.” J. Wind. Eng. Ind. Aerodyn., 80(3), 263–286.
Lei, C., Kavanagh, K., and Cheng, L. (1997). “Force and vortex shedding characteristics of a circular cylinder near a plane boundary.” Proc., 7th Int. Offshore and Polar Engineering Conf., Honolulu, 2, 255–261.
Liang, D., and Cheng, L. (2005). “Numerical modeling of flow and scour below a pipeline in currents. Part I: Flow simulation.” Coastal Eng., 52, 25–42.
Meneghini, J. R., Saltara, F., Siqueira, C. L. R., and Ferrari, J. A. (2001). “Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements.” J. Fluids Struct., 5(2), 327–350.
Ng, C. W., Cheng, V. S. Y., and Ko, N. W. M. (1997). “Numerical study of vortex interactions behind two circular cylinders in bistable flow regime.” Fluid Dyn. Res., 19, 379–409.
Price, S. J., Sumer, D., Smith, J. G., Leong, K., and Paidoussis, M. P. (2002). “Flow visualization around a circular cylinder near to a plane wall.” J. Fluids Struct., 16(2), 175–191.
Taneda, S. (1965). “Experimental investigation of vortex streets.” J. Phys. Soc. Jpn., 20, 1714–1721.
Tsiolakis, E. P. (1982). “Reynoldische Spannungen in einer mit einem Kreiszylinder gestörten turbulenten Plattengrenzschicht.” Dissertation, Dortmund Univ., Dortmund, Germany (in German).
Williamson, C. H. K. (1985). “Evolution of a single wake behind a pair of bluff bodies.” J. Fluid Mech., 159, 1–18.
Zdravkovich, M. M. (1977). “Review of flow interference between two circular cylinders in various arrangements.” J. Fluids Eng., 99, 618–633.
Zdravkovich, M. M. (1987). “The effects of interference between circular cylinders in cross flow.” J. Fluids Struct., 1, 239–260.
Wilcox, D. C. (1988). “Reassessment of the scale-determining equation for advanced turbulence models.” AIAA J., 26(11), 1299–1310.
Wilcox, D. C. (1994). “Simulation of transition with a two-equation turbulence model.” AIAA J., 32(2), 247–255.
Zhao, M., Cheng, L., Teng, B., and Dong, G. (2007). “Hydrodynamic forces on dual cylinders of different diameters in steady current.” J. Fluids Struct., 23, 59–83.
Zhao, M., Cheng, L., Teng, B., and Liang, D. (2005). “Numerical simulation of viscous flow past a bundle of two cylinders of different diameters.” Appl. Ocean. Res., 27, 39–55.
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© 2007 ASCE.
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Received: Oct 27, 2005
Accepted: May 1, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007
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