Hydrodynamic stability analysis of sheared convective boundary layer flows in stratified environments

Xiao, Y., Lin, W., He, Y., Armfield, S.W., and Kirkpatrick, M.P. (2015) Hydrodynamic stability analysis of sheared convective boundary layer flows in stratified environments. In: Proceedings of the 9th Symposium on Turbulence and Shear Flow Phenomena, pp. 1-6. From: TSFP-9: 9th Symposium on Turbulence and Shear Flow Phenomena, 30 June - 3 July 2015, Melbourne, VIC, Australia.

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Abstract

Hydrodynamic stability analysis is carried out on sheared convective boundary layer (SCBL) flow, in which both sheared stratified flow and thermally convective flow coexist. The linear unstable stratification for the thermal convective flow region is included in the Taylor-Goldstein equations in terms of an unstable factor Jb in parallel with a stable stratification factor J. New unstable regions corresponding to the thermally convective instability are found above the pure sheared stratified flow regions in the wavenumber α˜ versus stratification factor J plane. As the stratification ratio Jb/J increases, the unstable regions of thermal convection gradually approach and dominate the shear stratified unstable regions. The transition from shear stratified unstable mode to thermal convection instable mode is also observed in the temporal growth rate σ˜ versus J plane and in the σ˜ versus α˜ plane. The eigenfunctions of buoyancy, vertical velocity and buoyancy flux perturbations for sheared stratified dominant mode, the transitional mode and the thermal convection dominant mode in SCBL flow configuration are also discussed.

Item ID: 39367
Item Type: Conference Item (Refereed Research Paper - E1)
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Funders: Australian Research Council (ARC), James Cook University (JCU)
Date Deposited: 08 Jul 2015 04:20
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 100%
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