Receptivity of Chemically-Reacting Hypersonic Boundary Layers to Kinetic Fluctuations
Author
Luna, KevinIssue Date
2023Keywords
Boundary LayerChemically reacting flow
Continuous spectrum
Fluctuating hydrodynamics
Hypersonic
Laminar-turbulent transition
Advisor
Brio, Moysey
Metadata
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The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction, presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
We examine the receptivity of high-speed chemically-reacting boundary layers in two-component fluids to kinetic fluctuations within the framework of fluctuating hydrodynamics. To solve the receptivity problem, we systematically extend a number of boundary layer stability and receptivity results to the case of a two-component chemically-reacting mixture. To that end, we formulate and solve a spatial initial-boundary value problem for three-dimensional perturbations in a chemically-reacting boundary layer within a two-component fluid. We show that the solution can be presented as a sum of modes consisting of continuous and discrete spectra of the corresponding quasi-parallel flow eigenvalue problem. We also perform a comprehensive numerical investigation of the spectrum to understand the effect of chemical reactions on features of the spectrum. We give special attention to an unreported compositional branch of the continuous spectrum that arises from modeling chemical reactions. We then explore implications of the corresponding compositional freestream waves to boundary layer stability and receptivity through methods developed herein. We then use the developed methods to construct an algorithm for decomposing experimental and numerical data in terms of the highly interpretable stability modes. With these foundational results in hand, we solve the kinetic fluctuation receptivity problem using asymptotic methods for a variety of conditions relevant to hypersonic flight. Through the solution to the receptivity problem, we find an estimate for the upper bound of the laminar-turbulent transition Reynolds number, and quantify the impact of chemical reactions.Type
textElectronic Dissertation
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeApplied Mathematics