Applicability of the squire transformation in linearized problems on shear stability

DOI10.1134/S1061920809040025zbMath1186.35159OpenAlexW2072326494MaRDI QIDQ2655913

D. V. Georgievskii

Publication date: 27 January 2010

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920809040025

zbMATH Keywords

Newtonian viscous fluidOrr-Sommerfeld equationsquire transformation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Spectral methods applied to problems in fluid mechanics (76M22) Free boundary problems for PDEs (35R35)

Related Items (7)

A generalized analysis of perturbation patterns for the Poiseuille flow in a tube ⋮ Stability of Bingham flows: from the earliest works of A.A. Il'yushin to the present ⋮ Hydrodynamical and computational aspects and stability problems for viscoplastic flows ⋮ Generalized Joseph estimates of stability of plane shear flows with scalar nonlinearity ⋮ Spatial heterogeneity in subglacial drainage driven by till erosion ⋮ Modal stability and Squire's theorem for an inhomogeneous viscoelastic suspension ⋮ Generalizations of the Orr-Sommerfeld problem for the case in which the unperturbed shear motion is nonsteady

Cites Work

• Unnamed Item
• Isotropic nonlinear tensor functions in the theory of constitutive relations.
• Stability of power law fluid flow between rotating cylinders
• Transition in circular Couette flow
• Accurate solution of the Orr–Sommerfeld stability equation

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