ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5
ISSN Print: 1064-2277
Volumes:Volume 46, 2019 Volume 45, 2018 Volume 44, 2017 Volume 43, 2016 Volume 42, 2015 Volume 41, 2014 Volume 40, 2013 Volume 39, 2012 Volume 38, 2011 Volume 37, 2010 Volume 36, 2009 Volume 35, 2008 Volume 34, 2007 Volume 33, 2006 Volume 32, 2005 Volume 31, 2004 Volume 30, 2003 Volume 29, 2002 Volume 28, 2001 Volume 27, 2000 Volume 26, 1999 Volume 25, 1998 Volume 24, 1997 Volume 23, 1996 Volume 22, 1995
International Journal of Fluid Mechanics Research
Inviscid Flow Arrangements in Fluid Dynamics
Natural Resources Canada
It is common knowledge that, as the Reynolds number increases, flows lose their ability to damp out disturbances and they are increasingly composed of swirling eddies or vortices. This work proposes that the formation of inviscid flow arrangements is the mechanism that is responsible for these observations. Inviscid flow arrangements are flows of viscous fluids in which viscous forces vanish, not to be confused with inviscid fluids which have zero viscosity. The presentation begins with analysis of the viscous terms in the Navier−Stokes equation, showing that it is possible to arrange the flow of a viscous fluid so that viscous forces vanish, that these arrangements are vortex-like, and that inviscid arrangements are most likely to form in flow conditions corresponding to high Reynolds number. The author proposes that hurricanes, tornadoes, sink drain vortices, and turbulence are among the possible consequences. To the author's knowledge, this concept has not been presented in the scientific literature. A numerical study is then presented of laminar pipe flow subjected to a disturbance to determine if inviscid flow arrangements form and to study their behavior. An important emphasis is the inclusion of the disturbance in the Reynolds number. Using a novel method to visualize the deviation from laminar flow, inviscid flow arrangements are found to increasingly form as the Reynolds number increases. If it is true that inviscid flow arrangements play a key role in turbulence, then it is ironic that the phenomenon which increases the effective viscosity of a flow is actually a result of the tendency to eliminate the viscous force.
|Begell Digital Portal||Begell Digital Library||eBooks||Journals||References & Proceedings||Research Collections|