Fluid Flow Past a Circular Cylinder with Tandem Rod and Staggered Rod at Low Reynolds Number
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摘要
The flow past a primary cylinder with one tandem control rod and one staggered control rod is simulated in this paper through solving the Navier-Stokes equations.Two examples are simulated to validate the model,and the results matched well with those of previous researches.The Reynolds number based on the diameter of the primary cylinder is 500.The diameter ratio between the control rod and the primary cylinder(d/D) is 0.25.It was found that the effect of the combination of one upstream tandem control rod and one staggered control rod on the hydrodynamics of the primary cylinder is a linear superposition of the effect of a corresponding single control rod,and the effect of the upstream tandem control rod is dominant at larger spacing ratios such as G/D = 2.For the combination of a downstream tandem control rod and a staggered control rod,the effect of the control rods is different from that of the corresponding single control rod in the region of 0.2tandem control rod is dominant at small spacing ratios(such as G/D = 0.1).At moderate spacing ratios such as G/D = 0.4,the effects of the tandem control rod and the staggered control rod are comparable in both cases.
The flow past a primary cylinder with one tandem control rod and one staggered control rod is simulated in this paper through solving the Navier-Stokes equations.Two examples are simulated to validate the model,and the results matched well with those of previous researches.The Reynolds number based on the diameter of the primary cylinder is 500.The diameter ratio between the control rod and the primary cylinder(d/D) is 0.25.It was found that the effect of the combination of one upstream tandem control rod and one staggered control rod on the hydrodynamics of the primary cylinder is a linear superposition of the effect of a corresponding single control rod,and the effect of the upstream tandem control rod is dominant at larger spacing ratios such as G/D = 2.For the combination of a downstream tandem control rod and a staggered control rod,the effect of the control rods is different from that of the corresponding single control rod in the region of 0.2tandem control rod is dominant at small spacing ratios(such as G/D = 0.1).At moderate spacing ratios such as G/D = 0.4,the effects of the tandem control rod and the staggered control rod are comparable in both cases.
The flow past a primary cylinder with one tandem control rod and one staggered control rod is simulated in this paper through solving the Navier-Stokes equations.Two examples are simulated to validate the model,and the results matched well with those of previous researches.The Reynolds number based on the diameter of the primary cylinder is 500.The diameter ratio between the control rod and the primary cylinder(d/D) is 0.25.It was found that the effect of the combination of one upstream tandem control rod and one staggered control rod on the hydrodynamics of the primary cylinder is a linear superposition of the effect of a corresponding single control rod,and the effect of the upstream tandem control rod is dominant at larger spacing ratios such as G/D = 2.For the combination of a downstream tandem control rod and a staggered control rod,the effect of the control rods is different from that of the corresponding single control rod in the region of 0.2
引文
Bearman,P.W.,and Wadcock,A.J.,1973.The interaction between a pair of circular cylinders normal to a stream.Journal of Fluid Mechanics,61(3):499-511.
Carmo,B.S.,Meneghini,J.R.,and Sherwin,S.J.,2010.Possible states in the flow around two circular cylinders in tandem with separations in the vicinity of the drag inversion spacing.Physics of Fluids,22:054101.
F?rat,E.,Akansu,Y.E.,and Akilli,H.,2015.Flow past a square prism with an upstream control rod at incidence to uniform stream.Ocean Engineering,108:504-518.
Grucelski,A.,and Pozorski,J.,2015.Lattice Boltzmann simulations of heat transfer in flow past a cylinder and in simple porous media.International Journal of Heat and Mass Transfer,86:139-148.
Hu,J.C.,and Zhou,Y.,2008.Flow structure behind two staggered circular cylinders.Part 1.Downstream evolution and classification.Journal of Fluid Mechanics,607:51-80.
Igarashi,T.,1984.Characteristics of the flow around two circular cylinders arranged in tandem(second report,unique flow phenomenon at small spacing).Bulletin of JSME,27:2380-2387.
Lei,C.,Cheng,L.,and Kavanagh,K.,2000.A finite difference solution of the shear flow over a circular cylinder.Ocean Engineering,27(3):271-290.
Lu,L.,Liu,M.M.,Teng,B.,Cui,Z.D.,Tang,G.Q.,Zhao,M.,and Cheng,L.,2014.Numerical investigation of fluid flow past circular cylinder with multiple control rods at low Reynolds number.Journal of Fluids and Structures,48:235-259.
Mittal,S.,and Balachandar,R.,1997.On the inclusion of threedimensional effects in simulation of two-dimensional bluffbody wake flows.ASME Fluids Engineering Division Summer Meeting.Vancouver,BC,Canada,1-6.
Nishimura,T.,1986.Flow across tube banks.Encyclopedia of Fluid Mechanics,1:763-785.
Norberg,C.,2003.Fluctuating lift on a circular cylinder:Review and new measurements.Journal of Fluids and Structures,17(1):57-96.
Rajani,B.N.,Kandasamy,A.,and Majumdar,S.,2009.Numerical simulation of laminar flow past a circular cylinder.Applied Mathematical Modelling,33(3):1228-1247.
Rao,A.,Thompson,M.C.,Leweke,T.,and Hourigana,K.,2015.Flow past a rotating cylinder translating at different gap heights along a wall.Journal of Fluids and Structures,57:314-330.
Sumner,D.,2010.Two circular cylinders in cross-flow:A review.Journal of Fluids and Structures,26(6):849-899.
Sumner,D.,and Richards,M.D.,2003.Some vortex-shedding characteristics of the staggered configuration of circular cylinders.Journal of Fluids and Structures,17:345-350.
Sumner,D.,Price,S.J.,and Paidoussis,M.P.,2000.Flow-pattern identification for two staggered circular cylinders in crossflow.Journal of Fluid Mechanics,411:263-303.
Sun,T.F.,and Gu,Z.F.,1995.Interference between wind loading on group of structures.Journal of Wind Engineering&Industrial Aerodynamics,54:213-225.
Wang,Z.J.,and Zhou,Y.,2005.Vortex interactions in a two side-by-side cylinder near-wake.International Journal of Heat and Fluid Flow,26(3):362-377.
Williamson,C.H.K.,1988.The existence of two stages in the transition to three dimensionality of a cylinder wake.Physics of Fluids,31(11):3165-3168.
Williamson,C.H.K.,1989.Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers.Journal of Fluid Mechanics,26:576-626.
Williamson,C.H.K.,1996.Vortex dynamics in the cylinder wake.Annual Review of Fluid Mechanics,28(1):477-539.
Williamson,C.H.K.,and Roshko,A.,1990.Measurements of base pressure in the wake of a cylinder at low Reynolds numbers.Zeitschrift für Flugwissenschaften und Weltraumforschung,14:38-46.
Wu,W.B.,Wang,J.S.,Jiang,S.Q.,Xu,L.B.,and Sheng,L.X.,2016.Flow and flow control modeling for a drilling riser system with auxiliary lines.Ocean Engineering,123:204-222.
Zdravkovich,M.M.,1985.Flow induced oscillations of two interfering circular cylinders.Journal of Sound and Vibration,101(4):511-521.
Zdravkovich,M.M.,1993.Interstitial flow field and fluid forces.In:Technology for the 90s.ASME,New York,595-658.
Zdravkovich,M.M.,1997.Flow around circular cylinders.Vol.I Fundamentals.Journal of Fluid Mechanics,350(1):377-378.
Zhao,M.,Cheng,L.,Teng,B.,and Dong,G.,2007.Hydrodynamic forces on dual cylinders of different diameters in steady currents.Journal of Fluids and Structures,23:59-83.
Zhao,M.,Cheng,L.,Teng,B.,and Liang,D.F.,2005.Numerical simulation of viscous flow past two circular cylinders of different diameters.Applied Ocean Research,27:39-55.
Zhou,Y.,and Yiu,M.W.,2006.Flow structure,momentum and heat transport in a two tandem cylinder wake.Journal of Fluid Mechanics,548:17-48.(Edited by Xie Jun)
Carmo,B.S.,Meneghini,J.R.,and Sherwin,S.J.,2010.Possible states in the flow around two circular cylinders in tandem with separations in the vicinity of the drag inversion spacing.Physics of Fluids,22:054101.
F?rat,E.,Akansu,Y.E.,and Akilli,H.,2015.Flow past a square prism with an upstream control rod at incidence to uniform stream.Ocean Engineering,108:504-518.
Grucelski,A.,and Pozorski,J.,2015.Lattice Boltzmann simulations of heat transfer in flow past a cylinder and in simple porous media.International Journal of Heat and Mass Transfer,86:139-148.
Hu,J.C.,and Zhou,Y.,2008.Flow structure behind two staggered circular cylinders.Part 1.Downstream evolution and classification.Journal of Fluid Mechanics,607:51-80.
Igarashi,T.,1984.Characteristics of the flow around two circular cylinders arranged in tandem(second report,unique flow phenomenon at small spacing).Bulletin of JSME,27:2380-2387.
Lei,C.,Cheng,L.,and Kavanagh,K.,2000.A finite difference solution of the shear flow over a circular cylinder.Ocean Engineering,27(3):271-290.
Lu,L.,Liu,M.M.,Teng,B.,Cui,Z.D.,Tang,G.Q.,Zhao,M.,and Cheng,L.,2014.Numerical investigation of fluid flow past circular cylinder with multiple control rods at low Reynolds number.Journal of Fluids and Structures,48:235-259.
Mittal,S.,and Balachandar,R.,1997.On the inclusion of threedimensional effects in simulation of two-dimensional bluffbody wake flows.ASME Fluids Engineering Division Summer Meeting.Vancouver,BC,Canada,1-6.
Nishimura,T.,1986.Flow across tube banks.Encyclopedia of Fluid Mechanics,1:763-785.
Norberg,C.,2003.Fluctuating lift on a circular cylinder:Review and new measurements.Journal of Fluids and Structures,17(1):57-96.
Rajani,B.N.,Kandasamy,A.,and Majumdar,S.,2009.Numerical simulation of laminar flow past a circular cylinder.Applied Mathematical Modelling,33(3):1228-1247.
Rao,A.,Thompson,M.C.,Leweke,T.,and Hourigana,K.,2015.Flow past a rotating cylinder translating at different gap heights along a wall.Journal of Fluids and Structures,57:314-330.
Sumner,D.,2010.Two circular cylinders in cross-flow:A review.Journal of Fluids and Structures,26(6):849-899.
Sumner,D.,and Richards,M.D.,2003.Some vortex-shedding characteristics of the staggered configuration of circular cylinders.Journal of Fluids and Structures,17:345-350.
Sumner,D.,Price,S.J.,and Paidoussis,M.P.,2000.Flow-pattern identification for two staggered circular cylinders in crossflow.Journal of Fluid Mechanics,411:263-303.
Sun,T.F.,and Gu,Z.F.,1995.Interference between wind loading on group of structures.Journal of Wind Engineering&Industrial Aerodynamics,54:213-225.
Wang,Z.J.,and Zhou,Y.,2005.Vortex interactions in a two side-by-side cylinder near-wake.International Journal of Heat and Fluid Flow,26(3):362-377.
Williamson,C.H.K.,1988.The existence of two stages in the transition to three dimensionality of a cylinder wake.Physics of Fluids,31(11):3165-3168.
Williamson,C.H.K.,1989.Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers.Journal of Fluid Mechanics,26:576-626.
Williamson,C.H.K.,1996.Vortex dynamics in the cylinder wake.Annual Review of Fluid Mechanics,28(1):477-539.
Williamson,C.H.K.,and Roshko,A.,1990.Measurements of base pressure in the wake of a cylinder at low Reynolds numbers.Zeitschrift für Flugwissenschaften und Weltraumforschung,14:38-46.
Wu,W.B.,Wang,J.S.,Jiang,S.Q.,Xu,L.B.,and Sheng,L.X.,2016.Flow and flow control modeling for a drilling riser system with auxiliary lines.Ocean Engineering,123:204-222.
Zdravkovich,M.M.,1985.Flow induced oscillations of two interfering circular cylinders.Journal of Sound and Vibration,101(4):511-521.
Zdravkovich,M.M.,1993.Interstitial flow field and fluid forces.In:Technology for the 90s.ASME,New York,595-658.
Zdravkovich,M.M.,1997.Flow around circular cylinders.Vol.I Fundamentals.Journal of Fluid Mechanics,350(1):377-378.
Zhao,M.,Cheng,L.,Teng,B.,and Dong,G.,2007.Hydrodynamic forces on dual cylinders of different diameters in steady currents.Journal of Fluids and Structures,23:59-83.
Zhao,M.,Cheng,L.,Teng,B.,and Liang,D.F.,2005.Numerical simulation of viscous flow past two circular cylinders of different diameters.Applied Ocean Research,27:39-55.
Zhou,Y.,and Yiu,M.W.,2006.Flow structure,momentum and heat transport in a two tandem cylinder wake.Journal of Fluid Mechanics,548:17-48.(Edited by Xie Jun)