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RESEARCH PAPERS: Forced Convection

Development of Oscillatory Asymmetric Recirculating Flow in Transient Laminar Opposing Mixed Convection in a Symmetrically Heated Vertical Channel

[+] Author and Article Information
Tsing-Fa Lin, Tsai-Shou Chang, Yu-Feng Chen

Department of Mechanical Engineering, Manufacturing and Thermal-Fluid Engineering Research Center, National Chiao Tung University, Hsinchu, Taiwan

J. Heat Transfer 115(2), 342-352 (May 01, 1993) (11 pages) doi:10.1115/1.2910685 History: Received November 01, 1990; Revised October 01, 1992; Online May 23, 2008

Abstract

Detailed flow and thermal characteristics in transient laminar opposing mixed convection in a vertical plane channel subject to a symmetric heat input are numerically investigated. First, a linear stability analysis was employed to evidence the occurrence of flow bifurcation. Then, the unsteady Navier–Stokes equations along with the continuity and energy equations were respectively integrated by a third-order upwind and power-law finite-difference scheme with the resulting matrices inverted by the Fast Fourier Transform and conjugated gradient methods. Reverse flow in the form of symmetric, elongated recirculating cells is initiated earlier and is stronger in a lower Prandtl number fluid with higher opposing buoyancy and Reynolds number and longer heated section length. At a high opposing buoyancy, sudden flow asymmetry and oscillation occur simultaneously in a nearly steady flow after the initial transient. Periodic flow and thermal evolution are noted in space and time. An empirical equation for the condition for inducing flow oscillation is proposed.

Copyright © 1993 by The American Society of Mechanical Engineers
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