Universal dynamics in the onset of a Hagen-Poiseuille flow
نویسندگان
چکیده
منابع مشابه
Universal dynamics in the onset of a Hagen-Poiseuille flow.
The dynamics in the onset of a Hagen-Poiseuille flow of an incompressible liquid in a channel of circular cross section is well-studied theoretically. We use an eigenfunction expansion in a Hilbert space formalism to generalize the results to channels of an arbitrary cross section. We find that the steady state is reached after a characteristic time scale tau=(A/P)2(1/nu), where A and P are the...
متن کاملNon-Equilibruim Molecular Dynamics Simulation of Poiseuille Flow in a Nanochannel
The numerical simulation of a Poiseuille flow in a narrow channel using the molecular dynamics simulation (MDS) is performed. Poiseuille flow of liquid Argon in a nanochannel is simulated by embedding the fluid particles in a uniform force field. Density, velocity and Temperature profiles across the channel are investigated. When particles will be inserted into the flow, it is expected that the...
متن کاملOn a solenoidal Fourier–Chebyshev spectral method for stability analysis of the Hagen–Poiseuille flow ✩
In this work we study the efficiency of a spectral Petrov–Galerkin method for the linear and nonlinear stability analysis of the pipe or Hagen–Poiseuille flow. We formulate the problem in solenoidal primitive variables for the velocity field and the pressure term is eliminated from the scheme suitably projecting the equations on another solenoidal subspace. The method is unusual in being based ...
متن کاملReexamination of Hagen-Poiseuille flow: shape dependence of the hydraulic resistance in microchannels.
We consider pressure-driven, steady-state Poiseuille flow in straight channels with various cross-sectional shapes: elliptic, rectangular, triangular, and harmonic-perturbed circles. A given shape is characterized by its perimeter P and area A which are combined into the dimensionless compactness number C= P2/A, while the hydraulic resistance is characterized by the well-known dimensionless geo...
متن کاملOn the influence of boundary condition on stability of Hagen-Poiseuille flow
We analyze the influence of choice of boundary condition (no-slip and Navier’s slip boundary conditions) on linear stability of Hagen–Poiseuille flow. Several heuristic arguments based on detailed analysis of spectrum of the Stokes operator are given, and it is concluded that Navier’s slip boundary condition should have a destabilizing effect on the flow. Finally the linear stability problem is...
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: Physical Review E
سال: 2006
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.74.017301