Absolute and convective instability of cylindrical Couette flow with axial and radial flows
Imposing axial flow in the annulus and/or radial flow through the cylindrical walls in a Taylor–Couette system alters the stability of the flow. Theoretical methods and numerical simulations wer...
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A unified probability density function formulation to model turbulence modification in two-phase flow
In the present study, a unified probability density function formulation for capturing the phenomena of turbulence modification of the continuous phase due to the dispersed phase turbulence is present...
In the present study, a unified probability density function formulation for capturing the phenomena of turbulence modification of the continuous phase due to the dispersed phase turbulence is present...
Centrifugal instabilities in curved compressible wakes
Phys. Fluids 21, 104103 (2009); doi:10.1063/1.3241990
Published 16 October 2009
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This investigation is concerned with the linear development of Görtler vortices in the high-Reynolds-number laminar compressible wake behind a flat plate which is aligned with the centerline of a curved mixing-layer system. The Görtler modes were previously found to exist within curved compressible mixing layers by Owen et al. [Phys. Fluids 8, 2506 (1997)]. This study extends that investigation and demonstrates the effect a wake has on the growth rate and location of such modes. The investigations were made by examining the growth rate and the location of the Görtler modes in the limit of large Görtler number and high wave number within the wake-dominated curved compressible mixing-layer systems based on three wake flow models. An analytic Gaussian wake profile is first used to model the behavior of the basic flow within the mixing layer at the trailing edge of the splitter plate. It is found that the wake has an amplification effect on the growth of the Görtler instability within the concavely curved or “unstably” curved compressible mixing layers. It is also found that within the convexly curved or “stably” curved compressible mixing layers wake modes can occur that behave differently to the “thermal modes,” which were previously found within the plain curved compressible system by Owen et al. Another analytic composite model which has some practical applications is then used to predict the behavior of the modes within the systems. Solutions from a numerical wake flow model have been compared with the predictions based on the analytic wake flow models.
©2009 American Institute of Physics
| History: | Received 20 August 2008; accepted 19 August 2009; published 16 October 2009 |
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