We conducted a flow simulation to study the laminar flow in a three-dimensional rectangular cavity. The ratio of cavity depth to width is 1:1, and the span to width aspect ratio (SAR) is 3:1. The governing equations defined on staggered grids were solved in a transient context by using a finite volume method, in conjunction with a segregated solution algorithm. Of the most apparent manifestation of three-dimensional characteristics, we addressed in this study the formation of corner vortices and its role in aiding the transport of fluid flows in the primary eddy and the secondary eddies.
1.
Aidun
C. K.
Triantafillopoulos
N. G.
Benson
J. D.
1991
, “Global Stability of a Lid-Driven Cavity with Throughflow: Flow Visualization Studies
,” Phys. Fluids
, Vol. A3
, pp. 2081
–2091
.2.
Babu
V.
Korpela
S. A.
1994
, “Numerical Solutions of the Incompressible, Three-Dimensional Navier-Stokes Equations
,” Computer Fluids
, Vol. 23
, No. 5
, pp. 675
–691
.3.
Burggraf
O. R.
1966
, “Analytical and Numerical Studies of the Structure of Steady Separated Flows
,” Journal of Fluid Mechanics
, Vol. 24
, No. 1
, pp. 113
–151
.4.
Cortes
A. B.
Miller
J. D.
1994
, “Numerical Experiments With the Lid-Driven Cavity Flow Problem
,” Computer Fluids
, Vol. 23
, No. 8
, pp. 1005
–1027
.5.
Freitas
C. J.
Street
R. L.
Findikakis
A. N.
Koseff
J. R.
1985
, “Numerical Simulation of Three-Dimensional Flow in a Cavity
,” Int. J. Numer. Methods Fluids
, Vol. 5
, pp. 561
–575
.6.
Freitas
C. J.
Street
R. L.
1988
, “Non-Linear Transport Phenomena in a Complex Recirculating Flow: A Numerical Investigation
,” Int. J. Numer. Meths. in Fluids
, Vol. 8
, pp. 769
–802
.7.
Koseff, C. J., Street, R. L., Gresho, C. D., Upson, J. A., Humphrey, J. A. C., and To, W. H., 1983, “A Three-Dimensional Lid-Driven Cavity Flow: Experiment and Simulation,” Proc. 3rd Int. Conf. Num. Meth. Lam. and Turb. Flow, Seattle, Aug.
8.
Koseff
J. R.
Street
R. L.
1984
a, “Visualization Studies of a Shear Driven Three-Dimensional Recirculating Flow
,” ASME JOURNAL OF FLUIDS ENGINEERING
, Vol. 106
, No. 1
, pp. 21
–29
.9.
Koseff
J. R.
Street
R. L.
1984
b, “On End Wall Effects in a Lid-Driven Cavity Flow
,” ASME JOURNAL OF FLUIDS ENGINEERING
, Vol. 106
, pp. 385
–389
.10.
Koseff
J. R.
Street
R. L.
1984
c, “The Lid-Driven Cavity Flow: A Synthesis of Qualitative and Quantitative Observations
,” ASME JOURNAL OF FLUIDS ENGINEERING
, Vol. 106
, pp. 390
–398
.11.
Ku
H. C.
Hirsh
R. S.
Taylor
T. D.
1987
, “A Pseudospectral Method for Solution of the Three-Dimensional Incompressible Navier-Stokes Equations
,” J. Comput. Phys.
, Vol. 70
, pp. 439
–462
.12.
Leonard
B. P.
1979
, “A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation
,” Comput. Methods Appl. Mech. Engrg.
, Vol. 19
, pp. 59
–98
.13.
Pan
F.
Acrivos
A.
1967
, “Steady Flows in Rectangular Cavities
,” Journal of Fluid Mechanics
, Vol. 28
, pp. 643
–655
.14.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere.
This content is only available via PDF.
Copyright © 1997
by The American Society of Mechanical Engineers
You do not currently have access to this content.
