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By Galerkin projection of the Navier–Stokes equations onto a system of empirical eigenfunctions, as obtained using the POD method, systems of ODEs have been derived that model the dynamics of coherent structures in a transitional flat‐plate boundary layer. These ODEs are found to...
The system of Rossby waves is unstable with respect to modulations. This instability results in the generation of a large‐scale zonal flow with zero mean vorticity. It is shown that in both stable and unstable situations, a finite‐time singularity formation takes place in the system. Such a...
This study addresses the relationship between thermal microfronts and coherent vortex structures in homogeneous turbulence. The turbulence is created by mean shear in a weakly stratified flow. The data set is generated by direct numerical simulation providing highly resolved instantaneous...
Using a perturbation method up to the second order, the equation for long waves at the interface between two viscous fluids is derived for plane Couette–Poiseuille flow, and for moderate surface tension. The leading order equation is the Burgers equation. Higher order terms take into account...
Asymptotically exact evolution equations are derived for trains of small amplitude counterpropagating water waves over finite depth. Surface tension is included. The resulting equations are nonlocal and generalize the equations derived by Davey and Stewartson for unidirectional wave trains. The...
Part I of this paper Elghobashi and Truesdell, Phys. Fluids A 5 , 1790 (1993) examined the modulation of turbulence by the particles. Here the effects of the two‐way interaction on particle dispersion are discussed. In zero gravity, the two‐way coupling enhances the alignment of the...
Three‐dimensional incompressible hydrodynamic turbulence is driven to a statistically steady state. A strong uniform rotation is then turned on. It is shown that the turbulence reduces to an approximate two‐dimensional state. Furthermore, the energy inverse cascades to longer length scales.
The transient flow of an Oldroyd‐B fluid over an infinite disk set in rotation impulsively is studied under the similarity assumption. The unsteady velocity and stress field is calculated exactly for short times by a power series expansion in time. The order of magnitude of the velocity and...
The flow over V‐groove and U‐groove riblets is examined computationally using a time dependent model of the viscous wall region. The flow at the upper bound of the computational domain ( y + ≂40) is described using a streamwise eddy model. Both drag neutral and drag reducing riblets are...
The subgrid scales are modeled dynamically in a large‐eddy simulation of transitional boundary‐layer flow along a cylinder at a Mach number of 4.5. The behavior of the dynamic‐model coefficients, which is determined from local information in the resolved field, is investigated through both...
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