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Fluid Flow and Heat Transfer in a Lid-Driven Cavity Due to an Oscillatory Thin Fin: Periodic State

[+] Author Affiliations
Xundan Shi, J. M. Khodadadi

Auburn University, Auburn, AL

Paper No. HT-FED2004-56266, pp. 557-566; 10 pages
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 2, Parts A and B
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4691-1 | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME


A computational study of periodic laminar flow and heat transfer within a lid-driven square cavity due to an oscillating thin fin is presented. The lid moves from left to right and a thin fin positioned perpendicular to the right stationary wall oscillates in the horizontal direction. The length of the fin varies sinusoidally with its mean length and amplitude equal to 10 and 5 percent of the side of the cavity, respectively. Two Reynolds numbers of 100 and 1000 with a Pr = 1 fluid were considered. For a given convection time scale (tconv ), fin’s oscillation periods (τ) were selected in order to cover both slow (τ/tconv >1) and fast (τ/tconv <1) oscillation regimes, covering a Strouhal number range of 0.005 to 0.5. The number of the cycles needed to reach the periodic state for the flow (Nf ) and thermal (Nt ) fields increases as the fin oscillates faster with Nf < Nt . The periodic flow field for the case with Re = 1000 and TR = 10 is distinguished by the creation, lateral motion and subsequent wall impingement of a CCW rotating vortex within the lower half of the cavity. Periodic flow and thermal fields of the other nine cases studied were not as varied. Phase diagrams of the stream function and temperature vs. fin’s length clearly exhibit the synchronous behavior of the system. Amplitude of fluctuations of the kinetic energy and temperature are very intense near the fin. As the fin oscillates slower, a greater portion of the cavity exhibits intense fluctuations. For slow to moderate oscillations, the maximum value of Kamp is observed to be greater for Re = 1000 in comparison to Re = 100. For fast oscillations, this behavior is reversed. The maximum values of the amplitude of fluctuations of temperature increase monotonically as the fin oscillates slower. The maximum values of θamp are greater for Re = 1000 compared to Re = 100. The amplitude of fluctuations of the mean Nusselt number on four walls increase as the fin oscillates slower.

Copyright © 2004 by ASME



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