Numerical simulation of threedimensional flow structure in a driven cavity
Abstract
Investigations have been made of threedimensional flows of an incompressible viscous fluid in a square cubic cavity. The flows are driven by the sliding upper surface of the cavity. Numerical solutions are obtained by directly integrating the full, threedimensional, timedependent NavierStokes equations. The threedimensional flow structure is examined in detail over a wide range of the Reynolds number Re. One primary finding of these threedimensional numerical simulations indicates that steady solutions are attained at lower values of Re, but the flow becomes unsteady at higher values, say, when Re exceeds approximately 2000. Due to the profound influence of the endwall effects, threedimensional flows show substantial differences from twodimensional solutions: for twodimensional flow situations, steady solutions are known to exist for up to Re = 10000. The threedimensional flow structure displays qualitatively distinct features in the lowRe and highRe regimes. The demarcation separating these two regimes appears to lie in the neighborhood of Re = 20003000. One principal characteristic is that the TaylorGörtlerlike vortices are discernible for the highRe regimes, although these have not been clearly captured in the numerical results for the lowRe regimes. Critical assessments of the present numerical results have been made by crosschecking the data with the available experimental measurements for threedimensional cavity flows. The comparisons demonstrate broad qualitative agreement between the present numerical computational results and the laboratory measurement data.
 Publication:

Fluid Dynamics Research
 Pub Date:
 December 1989
 DOI:
 10.1016/01695983(89)900208
 Bibcode:
 1989FlDyR...5..173I
 Keywords:

 Cavitation Flow;
 Computational Fluid Dynamics;
 Flow Geometry;
 Incompressible Flow;
 Three Dimensional Flow;
 Viscous Flow;
 Fluid Flow;
 NavierStokes Equation;
 Numerical Flow Visualization;
 Three Dimensional Models;
 Vortices;
 Fluid Mechanics and Heat Transfer