Traveling Waves in Two-Dimensional Plane Poiseuille Flow
نویسندگان
چکیده
منابع مشابه
Traveling Waves in Two-Dimensional Plane Poiseuille Flow
Abstract. The asymptotic structure of laminar modulated travelling waves in two-dimensional high-Reynolds-number plane Poiseuille flow is investigated on the upper-energy branch. A finite set of independent slowly varying parameters are identified which parameterize the solution of the Navier–Stokes equations in this subset of the phase space. Our parameterization of the weakly stable modes des...
متن کاملUnstable manifolds computation for the two-dimensional plane Poiseuille flow
In this work we study some aspects of the dynamics of the plane Poiseuille problem in dimension 2, in what refers to the connection among different configurations of the flow. The fluid is confined in a channel of plane parallel walls. The problem is modeled by the incompressible Navier-Stokes equations
متن کاملHopf bifurcations to quasi-periodic solutions for the two-dimensional plane Poiseuille flow
This paper studies various Hopf bifurcations in the two-dimensional plane Poiseuille problem. For several values of the wavenumber α, we obtain the branch of periodic flows which are born at the Hopf bifurcation of the laminar flow. It is known that, taking α ≈ 1, the branch of periodic solutions has several Hopf bifurcations to quasi-periodic orbits. For the first bifurcation, previous calcula...
متن کاملTransient Start-up of Plane Poiseuille Flow
INTRODUCTION This article investigates various improvements to two existing finite volume (fv) algorithms, specifically constructed to solve transient viscoelastic flow problems. Here, we consider model problems to identify fundamental algorithmic advances. Two alternative fv-approaches are advocated and contrasted for their properties, a hybrid cell-vertex scheme and a cell-centred staggered-g...
متن کاملBurnett description for plane Poiseuille flow.
Two recent works have shown that at small Knudsen number (K) the pressure and temperature profiles in plane Poiseuille flow exhibit a different qualitative behavior from the profiles obtained by the Navier-Stokes equations. Tij and Santos [J. Stat. Phys. 76, 1399 (1994)] used the Bhatnagar-Gross-Kook model to show that the temperature profile is bimodal and the pressure profile is nonconstant. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2015
ISSN: 0036-1399,1095-712X
DOI: 10.1137/140968434