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Wave Packet Dispersion in Inflectional and Non-inflectional Flows

Srinivas, KK and Diwan, SS and Ramesh, ON (2022) Wave Packet Dispersion in Inflectional and Non-inflectional Flows. [Book Chapter]

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Official URL: https://doi.org/10.1007/978-3-030-67902-6_38


We study the linear spatio-temporal stability characteristics of inflectional and non-inflectional parallel flows and towards this consider separated boundary layer flow (SBLF), plane Couette-Poiseuille flow (CPF) and Falkner Skan flow with Favourable Pressure Gradient (FSFPG) with the boundary moving opposite to bulk fluid motion. We compute the temporal growth rate (�o , i ) at the saddle point of the dispersion relation in a frame of reference moving in the streamwise direction at a constant speed V, and locate the leading and trailing edge velocities (VLE, VTE ) of the unstable wave packet for each of these flows. We show that their difference � V= VLE- VTE, taken as a measure of dispersion of the unstable wave packet and its dependence on Reynolds number (Re) show important features that differentiate spatio-temporal instability dynamics of inflectional and non-inflectional flows. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Item Type: Book Chapter
Publication: IUTAM Bookseries
Series.: IUTAM Bookseries
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords: Boundary layer flow; Boundary layers; Dispersion (waves); Growth rate; Reynolds number; Wave packets, Dispersion relations; Favourable pressure gradients; Frame of reference; Important features; Plane Couette-Poiseuille flow; Separated boundary layers; Spatio-temporal instability; Streamwise directions, Parallel flow
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 24 Sep 2021 07:54
Last Modified: 24 Sep 2021 07:54
URI: http://eprints.iisc.ac.in/id/eprint/69711

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