This paper presents results of investigations of unsteady incompressible flow past three-dimensional cavities, where there is a complex interaction between the external flow and the recirculating flow inside the cavity. A computational fluid dynamics approach is used in the study. The simulation is based on the solution of the unsteady Navier-Stokes equations for three-dimensional incompressible flow by using finite difference schemes. The cavity is assumed to be rectangular in geometry, and the flow is assumed to be laminar. Typical results of computation are presented, showing the effects of the Reynolds number, cavity geometry, and inflow condition on the cavity flow fields. The results show that high Reynolds numbers, with deep cavity and shallow cavity flows can become unsteady with Kelvin-Helmholtz instability oscillations and exhibiting a three-dimensional nature, with Taylor-Go¨rtler longitudinal vortices on the floor and longitudinal vortex structures on the shear layer. At moderate Reynolds numbers the shallow cavity flow is more stable than deep cavity flows. For a given Reynolds number the flow structure is affected by the thickness of the inflow boundary layer with a significant interaction between the external flow and the recirculating flow inside the cavity.
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November 2004
Article
Numerical Simulation of Incompressible Laminar Flow over Three-Dimensional Rectangular Cavities
H. Yao,
H. Yao
School of Aeronautical Engineering, Queens University Belfast, Ashby Building, Stranmillis Road, BT9 5AG, UK
E-mail: h.yao@qub.ac.uk
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R. K. Cooper,
R. K. Cooper
School of Aeronautical Engineering, Queens University Belfast, Ashby Building, Stranmillis Road, BT9 5AG, UK
E-mail: rcooper@qub.ac.uk
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S. Raghunathan
S. Raghunathan
School of Aeronautical Engineering, Queens University Belfast, Ashby Building, Stranmillis Road, BT9 5AG, UK
E-mail:sraghunathan@qub.ac.uk
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H. Yao
E-mail: h.yao@qub.ac.uk
School of Aeronautical Engineering, Queens University Belfast, Ashby Building, Stranmillis Road, BT9 5AG, UK
R. K. Cooper
E-mail: rcooper@qub.ac.uk
School of Aeronautical Engineering, Queens University Belfast, Ashby Building, Stranmillis Road, BT9 5AG, UK
S. Raghunathan
E-mail:sraghunathan@qub.ac.uk
School of Aeronautical Engineering, Queens University Belfast, Ashby Building, Stranmillis Road, BT9 5AG, UK
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division September 13, 2003; revised manuscript received July 7, 2004. Review conducted by: S. Balachandar.
J. Fluids Eng. Nov 2004, 126(6): 919-927 (9 pages)
Published Online: March 11, 2005
Article history
Received:
September 13, 2003
Revised:
July 7, 2004
Online:
March 11, 2005
Citation
Yao, H., Cooper, R. K., and Raghunathan, S. (March 11, 2005). "Numerical Simulation of Incompressible Laminar Flow over Three-Dimensional Rectangular Cavities ." ASME. J. Fluids Eng. November 2004; 126(6): 919–927. https://doi.org/10.1115/1.1845531
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