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

✍ Scribed by Lyle N. Long

• Book ID: 104632528
• Publisher: Springer
• Year: 1987
• Tongue: English
• Weight: 526 KB
• Volume: 21
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00127462

✦ Synopsis

The Orr-Sommerfeld equation is studied using the method of multiple scales. The leading-order uniformlyvalid asymptotic solutions are obtained without recourse to heuristic methods for two different types of velocity profiles. Solutions were obtained for arbitrary velocity profiles without inflection or critical points and for profiles with simultaneous inflection and critical points. These are shown to reproduce previously obtained solutions in the inner and outer regions.