Parameterization of travelling waves in 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...
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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. ...
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ژورنال
عنوان ژورنال: IMA Journal of Applied Mathematics
سال: 2012
ISSN: 0272-4960,1464-3634
DOI: 10.1093/imamat/hxs037