Asymmetric, Helical, and Mirror-Symmetric Traveling Waves in Pipe Flow
نویسندگان
چکیده
منابع مشابه
Asymmetric, helical, and mirror-symmetric traveling waves in pipe flow.
New families of three-dimensional nonlinear traveling waves are discovered in pipe flow. In contrast with known waves [H. Faisst and B. Eckhardt, Phys. Rev. Lett. 91, 224502 (2003); H. Wedin and R. R. Kerswell, J. Fluid Mech. 508, 333 (2004), they possess no discrete rotational symmetry and exist at a significantly lower Reynolds numbers (Re). First to appear is a mirror-symmetric traveling wav...
متن کاملHighly symmetric travelling waves in pipe flow.
The recent theoretical discovery of finite-amplitude travelling waves (TWs) in pipe flow has reignited interest in the transitional phenomena that Osborne Reynolds studied 125 years ago. Despite all being unstable, these waves are providing fresh insight into the flow dynamics. We describe two new classes of TWs, which, while possessing more restrictive symmetries than previously found TWs of F...
متن کاملGenesis of streamwise-localized solutions from globally periodic traveling waves in pipe flow.
The aim in the dynamical systems approach to transitional turbulence is to construct a scaffold in phase space for the dynamics using simple invariant sets (exact solutions) and their stable and unstable manifolds. In large (realistic) domains where turbulence can coexist with laminar flow, this requires identifying exact localized solutions. In wall-bounded shear flows, the first of these has ...
متن کاملDispersion of a Passive Scalar in Helical Pipe Flow
This thesis will investigate the advection and diffusion of a passive scalar in helical pipes. By assuming that the curvature and torsion are small (equivalent to small Dean number) and the Reynolds number is moderate, one can use a closed form approximation, due to Dean (1927) and Germano (1982), for the induced recirculation. Using a simulation developed this summer, the problem will be inves...
متن کاملTraveling Waves of Some Symmetric Planar Flows of Non-Newtonian Fluids
We present some variants of Burgers-type equations for incompressible and isothermal planar flow of viscous non-Newtonian fluids based on the Cross, the Carreau and the power-law rheology models, and on a symmetry assumption on the flow. We numerically solve the associated traveling wave equations by using industrial data and in order to validate the models we prove existence and uniqueness of ...
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 Letters
سال: 2007
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.99.074502