Numerical prediction of eddy structure in a shear-driven cavity

Abstract We present in this paper a detailed numerical study of the vortical flow structure in a confined lid-driven cavity which is defined by a depth-to-width aspect ratio of 1:1 and a span-to-width aspect ratio of 3:1. In this study we have carefully examined the computed data that the useful to gain an in-depth knowledge of the complex interactions among secondary eddies, primary eddies, and spiraling spanwise motions. Chief of conclusions drawn from this study is to explain how the secondary eddies are intimately coupled with the primary recirculating flow. We also enlighten in this paper why spiraling vortices inside the upstream secondary eddy tend to destabilize the incompressible flow system and aid development of laminar instabilities.

[1]  Robert L. Street,et al.  Three‐dimensional unsteady flow simulations: Alternative strategies for a volume‐averaged calculation , 1989 .

[2]  J. Koseff,et al.  A dynamic mixed subgrid‐scale model and its application to turbulent recirculating flows , 1993 .

[3]  Michel Deville,et al.  Numerical simulation of 3-D incompressible unsteady viscous laminar flows , 1992 .

[4]  R. Hwang,et al.  Three-Dimensional Vortex Dynamics in a Shear-Driven Rectangular Cavity , 1997 .

[5]  Michel Visonneau,et al.  A new fully coupled solution of the Navier‐Stokes equations , 1994 .

[6]  O. Burggraf.  Analytical and numerical studies of the structure of steady separated flows , 1966, Journal of Fluid Mechanics.

[7]  A. B. Cortes,et al.  Numerical experiments with the lid driven cavity flow problem , 1994 .

[8]  Robert L. Street,et al.  Visualization Studies of a Shear Driven Three-Dimensional Recirculating Flow , 1984 .

[9]  V. Babu,et al.  Numerical solution of the incompressible three-dimensional Navier-Stokes equations , 1994 .

[10]  Robert L. Street,et al.  The Lid-Driven Cavity Flow: A Synthesis of Qualitative and Quantitative Observations , 1984 .

[11]  Robert L. Street,et al.  On End Wall Effects in a Lid-Driven Cavity Flow , 1984 .

[12]  Robert L. Street,et al.  Three-dimensional lid-driven cavity flow: experiment and simulation , 1983 .

[13]  Robert L. Street,et al.  Numerical simulation of three‐dimensional flow in a cavity , 1985 .

[14]  Numerical Simulation of Three-Dimensional Unsteady Flow in a Cavity , 1992 .

[15]  On End-Wall Corner Vortices in a Lid-Driven Cavity , 1997 .

[16]  T. Taylor,et al.  A Pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations , 1987 .

[17]  T. Sheu,et al.  A segregated solution algorithm for incompressible flows in general co-ordinates , 1996 .

[18]  Robert L. Street,et al.  Flow visualization of a recirculating flow by rheoscopic liquid and liquid crystal techniques , 1984 .

[19]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[20]  C. Ross Ethier,et al.  Exact fully 3D Navier–Stokes solutions for benchmarking , 1994 .

[21]  J. Koseff,et al.  Reynolds number and end‐wall effects on a lid‐driven cavity flow , 1989 .

[22]  Cyrus K. Aidun,et al.  Global stability of a lid‐driven cavity with throughflow: Flow visualization studies , 1991 .