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Optimal Growth in Hypersonic Boundary LayersThe linear form of the parabolized linear stability equations is used in a variational approach to extend the previous body of results for the optimal, nonmodal disturbance growth in boundary-layer flows. This paper investigates the optimal growth characteristics in the hypersonic Mach number regime without any high-enthalpy effects. The influence of wall cooling is studied, with particular emphasis on the role of the initial disturbance location and the value of the spanwise wave number that leads to the maximum energy growth up to a specified location. Unlike previous predictions that used a basic state obtained from a self-similar solution to the boundary-layer equations, mean flow solutions based on the full Navier-Stokes equations are used in select cases to help account for the viscous- inviscid interaction near the leading edge of the plate and for the weak shock wave emanating from that region. Using the full Navier-Stokes mean flow is shown to result in further reduction with Mach number in the magnitude of optimal growth relative to the predictions based on the self-similar approximation to the base flow.
Document ID
Document Type
Reprint (Version printed in journal)
External Source(s)
Paredes, Pedro
(NASA Langley Research Center Hampton, VA, United States)
Choudhari, Meelan M.
(NASA Langley Research Center Hampton, VA, United States)
Li, Fei
(NASA Langley Research Center Hampton, VA, United States)
Chang, Chau-Lyan
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
January 17, 2017
Publication Date
June 16, 2016
Publication Information
Publication: AIAA Journal
Volume: 54
Issue: 10
Subject Category
Fluid Mechanics And Thermodynamics
Aeronautics (General)
Report/Patent Number
Funding Number(s)
WBS: WBS 109492.
Distribution Limits
Work of the US Gov. Public Use Permitted.
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