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RESEARCH PAPERS

Numerical Simulation of Flows Driven by a Torsionally Oscillating Lid in a Square Cavity

[+] Author and Article Information
Reima Iwatsu

Institute of Computational Fluid Dynamics, Tokyo 152, Japan

Jae Min Hyun

Korea Advanced Institute of Science and Technology, Cheongryang, Seoul, Korea

Kunio Kuwahara

The Institute of Space and Astronautical Science, Yoshinodai, Sagamihara, Kanagawa, Japan

J. Fluids Eng 114(2), 143-151 (Jun 01, 1992) (9 pages) doi:10.1115/1.2910008 History: Received September 24, 1990; Online May 23, 2008

Abstract

Numerical studies were made of the flow of a viscous fluid in a two-dimensional square container. The flows are driven by the top sliding wall, which executes sinusoidal oscillations. Numerical solutions were acquired by solving the time-dependent, two-dimensional incompressible Navier-Stokes equations. Results are presented for wide ranges of two principal physical parameters, i.e., Re, the Reynolds number and ω′, the nondimensional frequency of the lid oscillation. Comprehensive details of the flow-structure are presented. When ω′ is small, the flow bears qualitative similarity to the well-documented steady driven-cavity flow. The flow in the bulk of cavity region is affected by the motion of the sliding upper lid. On the contrary, when ω′ is large, the fluid motion tends to be confined within a thin layer near the oscillating lid. In this case, the flow displays the characteristic features of a thin-layer flow. When ω′ is intermediate, ω′ ~ O(1), the effect of the side walls is pronounced; the flow pattern reveals significant changes between the low-Re and high-Re limits. Streamline plots are constructed for different parameter spaces. Physically informative interpretations are proposed which help gain physical insight into the dynamics. The behavior of the force coefficient Cf has been examined. The magnitude and phase lag of Cf are determined by elaborate post-processings of the numerical data. By utilizing the wealth of the computational results, characterizations of Cf as functions of Re and ω′ are attempted. These are in qualitative consistency with the theoretical predictions for the limiting parameter values.

Copyright © 1992 by The American Society of Mechanical Engineers
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