Uniformly-valid asymptotic solutions to the Orr-Sommerfeld equation using multiple scales

DOI10.1007/BF00127462zbMath0637.76040MaRDI QIDQ1098702

Lyle N. Long

Publication date: 1987

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

hydrodynamic stabilitymethod of multiple scalesboundary conditionsOrr-Sommerfeld equationleading-order uniformly valid solutions

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (1)

Asymptotic approximations for pure bending of thin cylindrical shells

Cites Work

• On the asymptotic solution of the Orr–Sommerfeld equation by the method of multiple-scales
• Asymptotische Integration der Störungsdifferentialgleichung ebener laminarer Störungen bei hohen Reynoldsschen Zahlen
• On the stability of two-dimensional parallel flows. I. General theory
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