The stability of pipe flow Part 1. Asymptotic analysis for small wave-numbers

Autor:	William Paul Graebel
Rok vydání:	1970
Předmět:	Physics Plug flow Mechanical Engineering Reynolds number Mechanics Condensed Matter Physics Hagen–Poiseuille equation Instability Pipe flow Physics::Fluid Dynamics Pipe network analysis Transverse plane symbols.namesake Mechanics of Materials symbols Wavenumber
Zdroj:	Journal of Fluid Mechanics. 43:279-290
ISSN:	1469-7645 0022-1120
DOI:	10.1017/s0022112070002379
Popis:	The instability of Poiseuille flow in a pipe is considered for small disturbances. An asymptotic analysis is used which is similar to that found successful in plane Poiseuille flow. The disturbance is taken to travel in a spiral fashion, and comparison of the radial velocity component with the transverse component in the plane case shows a high degree of similarity, particularly near the critical point where the disturbance and primary flow travel with the same speed. Instability is found for azimuthal wave-numbers of 2 or greater, although the corresponding minimum Reynolds numbers are too small to compare favourably with either experiments or the initial restrictions on the magnitude of the wave-number.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7a763a9cec82fc30ca2a158751aec1bf https://doi.org/10.1017/s0022112070002379 Zobrazit plný text záznamu