On the solution of a complex eigenvalue problem of Sturm-Liouville type and application to periodic internal turbulent flow

DOI10.1016/0016-0032(91)90018-XzbMath0739.76067OpenAlexW1972241712MaRDI QIDQ1175907

M. N. Oezisik, M. D. Mikhajlov, Woo-Seung Kim

Publication date: 25 June 1992

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(91)90018-x

zbMATH Keywords

eigenvaluesintegral transformeigenfunctionsforced convectionshooting methodfourth order Runge-Kutta methodone-dimensional problemperiodically varying thermal disturbances

Mathematics Subject Classification ID

Forced convection (76R05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Computational procedure for Sturm-Liouville problems
• Unified solutions of heat diffusion in a finite region involving a surface film of finite heat capacity
• Laminar forced convection inside ducts with periodic variation of inlet temperature
• Exact solution of the transient forced convection energy equation for timewise variation of inlet temperature
• A Single Formula for the “Law of the Wall”
• Vollständige Darstellung der turbulenten Geschwindigkeitsverteilung in glatten Leitungen

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