Non‐linear transient phenomena in a complex recirculating flow: A numerical investigation

Abstract

A role of numerical methods in engineering research is illustrated in the present work, namely the use of computer algorithms as experimental facilities. A complex recirculating flow in a three‐dimensional cavity was simulated and an extensive data base was generated which complements data measured in concurrent physical experiments. The objective of this numerical investigation was to improve understanding of physical phenomena in recirculating flows. The dominant physical phenomena in this shear‐driven flow simulation are Taylor‐Görtler vortices. These structures are intimately coupled with the primary recirculating flow and the effects of end‐wall viscous damping.

Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier–Stokes Equations

“…Three-dimensional calculations have been performed by Ku et al [32], Guj and Stella [33], Jiang et al [34], Fujima et al [35], and Ho and Lin [36] for the spanwise aspect ratio (SAR) = 1.0, and by Freitas et al [37], Freitas and Street [38], and Chiang et al [39] for SAR = 3.0. For the code validation, numerical simulations using the WENO3 scheme have been conducted first for the upper-lid-driven flow in a cubic cavity (SAR = 1.0) at three different Reynolds numbers, Re = 100, 400 and 1000, and then for the case of SAR = 3.0 over a wide range of Reynolds numbers from Re = 100 to Re = 3200.…”

Effects of Lid-Driven Cavity Shape on the Flow Establishment Phase

“…& Street 1984c). Authors contended that they are the consequence of #ow instabilities developed near the concave-separated streamline between the PE and the DSE (Freitas & Street 1988).…”

“…& Street (1984a}c), as a &&more controlled problem with fewer external factors a!ecting the state of the #ow''. Simple in geometry with well-de"ned boundary conditions, LDC #ows are standard references for testing the accuracy of numerical codes (Deville et al 1992), as well as constituting &&an ideal vehicle for studying complex #ow physics'' (Freitas & Street 1988) such as thermocapillary #ow stability (Ramanan & Homsy 1994). Parallel to the fundamental case, LDC #ow studies are also useful to improve many practical application prototypes (Aidun et al 1991); shortdwell coaters and melt-spinning processes in forming continuous metal ribbons are examples of such applications (Aidun & Trianta"llopoulos 1990).…”

Three-dimensional Analysis of Mixed Convection in a Differentially Heated Lid-driven Cubic Enclosure

“…The cavity was filled with a stably stratified fluid encompassing a relative large range of Rayleigh and Richardson numbers. In a consecutive number of papers, Freitas et al [12] and Freitas and Street [13] carried out a numerical study of the viscous flow in a rectangular cavity of depth-to-spanwise aspect ratio 3 at. They discovered the existence of meridional vortices and considerable flow unsteadiness.…”