Solving the Orr-Sommerfeld equation with integral equation method in terms of the Green function

DOI10.1007/BF01875729zbMath0504.76058MaRDI QIDQ1836371

Jia-chun Li

Publication date: 1982

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Orr-Sommerfeld equationGreen functionlinear theory of stabilityany Reynolds numbertwo solid wallsvelocity distribution of main flow

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Hydrodynamic stability (76E99)

Related Items (1)

Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature

Cites Work

• Unnamed Item
• On the application of infinite systems of ordinary differential equations to perturbations of plane Poiseuille flow
• On the behaviour of small disturbances in plane Couette flow
• Approximations to the eigenvalue relation for the Orr-Sommerfeld problem
• The stability of steady and time-dependent plane Poiseuille flow
• Accurate solution of the Orr–Sommerfeld stability equation
• The Stability of Plane Poiseuille Flow

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