Stationary Solutions of the Navier-Stokes Equations in a Half-Plane Down-Stream of an Object: Universality of the Wake

نویسنده

  • Guillaume van Baalen
چکیده

We consider stationary solutions of the incompressible Navier-Stokes equations for an exterior domain in two dimensions. We prove that asymptotically in the down–stream direction, the leading order deviation from the constant flow is universal, i.e. independent of the details of the domain. To get this result, we show that the (elliptic) Navier–Stokes equations can be interpreted as a dynamical system, the down–stream direction playing the role of time, which shares some aspects with a parabolic PDE.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Leading order down-stream asymptotics of non-symmetric stationary Navier-Stokes flows in two dimensions

We consider stationary solutions of the incompressible Navier-Stokes equations in two dimensions. We give a detailed description of the fluid flow in a half-plane through the construction of an inertial manifold for the dynamical system that one obtains when using the coordinate along the flow as a time.

متن کامل

A comparative study between two numerical solutions of the Navier-Stokes equations

The present study aimed to investigate two numerical solutions of the Navier-Stokes equations. For this purpose, the mentioned flow equations were written in two different formulations, namely (i) velocity-pressure and (ii) vorticity-stream function formulations. Solution algorithms and boundary conditions were presented for both formulations and the efficiency of each formulation was investiga...

متن کامل

Leading Order Down-Stream Asymptotics of Stationary Navier–Stokes Flows in Three Dimensions

We consider stationary solutions of the incompressible Navier–Stokes equations in three dimensions. We give a detailed description of the fluid flow in a half-space through the construction of an inertial manifold for the dynamical system that one obtains when using the coordinate along the flow as a time. Mathematics Subject Classification (2000). 35Q30, 76D05, 35B40, 35B42.

متن کامل

Leading order down-stream asymptotics of non-symmetric stationary Navier-Stokes flows in three dimensions

We consider stationary solutions of the incompressible Navier-Stokes equations in three dimensions. We give a detailed description of the fluid flow in a half-space through the construction of an inertial manifold for the dynamical system that one obtains when using the coordinate along the flow as a time.

متن کامل

Aixsymmetric Stagnation Point Flow of a Viscous Fluid on a Moving Cylinder with Time Dependent Axial Velocity

The unsteady viscous flow in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity is investigated. The impinging free stream is steady with a strain rate k. An exact solution of the Navier-Stokes equations is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The general self-si...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001