On End-Wall Corner Vortices in a Lid-Driven Cavity

Abstract

with a primary eddy, downstream and upstream secondary eddies, and possibly meandering Taylor-Gortler longitudinal vortices as the Reynolds number is sufficiently high (see Fig. 1(a)). Previous investigations, however, did not focus much on the end-wall corner vortices other than noting their existence. This motivated us to conduct the present study with an aim to improve our understanding of comer vortices present near the end wall of the lid-driven cavity.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. /' = 5(/ + Z^) + Re According to the computed errors cast in an L2-norm form for primitive variables, namely (0.55 Downloaded From: http://fluidsengineering.asmedigitalcollection.asme.org/ on 02/26/2014 Terms of Use: http://asme.org/terms

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

“…(1988) as local and global #ow features. The local eddies, the so-termed corner vortices, located close to the cavity span end-walls, take a large part in spanwise #uid transport (Chiang et al 1997). The global eddies, commonly referred to as Taylor}Goertler-like vortices, are represented by several dispersed counter-rotating vortex pairs (depending on #ow regime and cavity spanwise ratio) which can meander along cavity span (Kose!…”

Incompressible laminar flow over a three-dimensional rectangular cavity

“…The code has been examined using both analytical and numerical examples given in [12]; the numerical examples used for the validation include both 2-dimensional and 3-dimensional cavity flow fields. A detailed description of these validation studies can be found in [15].…”

Axial piston pump grooved slipper analysis by CFD simulation of three-dimensional NVS equation in cylindrical coordinates

“…The literature available for pressure/flow simulation in cavities is quite vast and the SIMPLE (semi implicit method for pressure linked equation) family algorithm [27] has been widely applied to this kind of simulation. Most of the work has been done for rectangular cavities [28][29][30][31][32][33][34] where Cartesian coordinates were applied. Literature available on cavities in cylindrical coordinates [35][36][37] is much less common.…”