On the global instability of free disturbances with a time-dependent nonlinear viscous critical layer

DOI10.1017/S0022112085002300zbMath0576.76046OpenAlexW2052830487MaRDI QIDQ3696730

Frank T. Smith, Jitesh S. B. Gajjar

Publication date: 1985

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112085002300

zbMATH Keywords

high Reynolds numberglobal instabilityliquid-layer flowsteady quasiparallel channel flowtime- dependent nonlinar viscous critical layerunsteady non-neutral disturbance/wavepacket

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items

On a degeneracy of temporal secondary instability modes in Blasius boundary-layer flow, Traveling Waves in Two-Dimensional Plane Poiseuille Flow, Fully coupled resonant-triad interaction in an adverse-pressure-gradient boundary layer, The upper-branch stability of compressible boundary-layer flows, Nonlinear Stability of Nonstationary Cross‐Flow Vortices in Compressible Boundary Layers, Nonlinear spatial evolution of an externally excited instability wave in a free shear layer, The resonant-triad nonlinear interaction in boundary-layer transition, Properties of a Time-Dependent Nonlinear Viscous Critical Layer, On the asymptotic approach to thermosolutal convection in heated slow reactive boundary layer flows, The evolution of an unsteady translating nonlinear rossby-wave critical layer, The hydrodynamic stability of channel flow with compliant boundaries

Cites Work

• The Evolution of a Nonlinear Critical Level
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• Nonlinear Wave Packets in Flows with Critical Layers
• Nonlinear Perturbations of the Orr–Sommerfeld Equation—Asymptotic Expansion of the Logarithmic Phase Shift Across the Critical Layer
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• On the high Reynolds number flow over a wavy boundary
• A New Class of Nonlinear Waves in Parallel Flows
• A non-linear instability theory for a wave system in plane Poiseuille flow
• Critical Layers m Parallel Flows