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

Conference Publication ResearchOnline@JCU
Xiao, Y.;Lin, W.;He, Y.;Armfield, S.W.;Kirkpatrick, M.P.
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.

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TSFP-9: 9th Symposium on Turbulence and Shear Flow Phenomena

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6

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Melbourne, VIC, Australia

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University of Melbourne

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Melbourne, VIC, Australia

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