publication . Article . Preprint . 2017

modeling mode interactions in boundary layer flows via the parabolized floquet equations

Ran, Wei; Zare, Armin; Hack, M. J. Philipp; Jovanović, Mihailo R.;
Open Access
  • Published: 05 Dec 2017 Journal: Physical Review Fluids, volume 4 (eissn: 2469-990X, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
In this paper, we develop a model based on successive linearization to study interactions between different modes in boundary layer flows. Our method consists of two steps. First, we augment the Blasius boundary layer profile with a disturbance field resulting from the linear Parabolized Stability Equations (PSE) to obtain the modified base flow; and, second, we draw on Floquet decomposition to capture the effect of mode interactions on the spatial evolution of flow fluctuations via a sequence of linear progressions. The resulting Parabolized Floquet Equations (PFE) can be conveniently advanced downstream to examine the interaction between different modes in slo...
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: Laminar flow, Floquet theory, Exponential function, Blasius boundary layer, Physics, Linear model, Mechanics, Boundary layer, Classical mechanics, Harmonics, Flow (psychology), Physics - Fluid Dynamics
Funded by
NSF| Low-complexity Stochastic Modeling and Control of Turbulent Shear Flows
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1739243
  • Funding stream: Directorate for Engineering | Division of Civil, Mechanical & Manufacturing Innovation
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publication . Article . Preprint . 2017

modeling mode interactions in boundary layer flows via the parabolized floquet equations

Ran, Wei; Zare, Armin; Hack, M. J. Philipp; Jovanović, Mihailo R.;