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We study the motion of a two-dimensional coherent structure of bubbles and spikes in the Rayleigh–Taylor instability for fluids with a finite density contrast in the case of a small amplitude initial perturbation. The theoretical and numerical solutions for the system of conservation laws are...
We have made velocity time series measurements (using hot film probes) and velocity field measurements (using particle image velocimetry) on turbulent flow in a rotating annulus. For low annulus rotation rates the Rossby number was of order unity and the flow was three-dimensional (3D), but at...
By applying proper orthogonal decomposition (method of snapshots) to low Prandtl number fluid flow in a laterally heated cavity of dimensions 4×2×1 4 × 2 × 1 in length×width×height, length × width × height , characteristic basic modes have been extracted. Using Galerkin projection of the...
This paper examines coherent vortices and spatial distributions of energy density in asymptotic states of numerically simulated, horizontally homogeneous, doubly periodic, quasi two-dimensional f-plane turbulence. With geophysical applications in mind, the paper progresses from freely decaying...
Boundary-layer transition over a disk spinning under water is investigated. Transitional Reynolds numbers, Re c , Re c , and associated boundary-layer velocity profiles are determined from flow-visualizations and hot-film measurements, respectively. The value of Re c Re c and the velocity...
The two-dimensional laminar quasisteady asymptotically simplified flow with mass transport of sediments is solved over an erodible bed in various laminar hydraulic regimes (infinite depth, finite depth subcritical or supercritical, nondisturbed boundary layer). Compared to the boundary layer...
Spatially developing supersonic turbulent boundary layers at a Mach number of 2.5 and momentum-thickness Reynolds numbers at inflow of 4530 and 10 049, respectively, are computed with large-eddy simulation using the approximate deconvolution model Stolz et al., Phys. Fluids 13 , 2985 (2001)....
A direct numerical simulation of the Navier–Stokes equations is used to compute the space–time correlations of velocity fluctuations in a turbulent channel flow. By examining the autocorrelation R ( ξ , τ ) R ( ξ , τ ) of the longitudinal wall shear-stress as a function of the streamwise...
Previous studies dealing with Floquet secondary stability analysis of the wakes of circular and square cross-section cylinders have shown that there are two synchronous instability modes, with long (mode A) and short (mode B) spanwise wavelengths. At intermediate wavelengths another mode arises,...
Lift forces on a cylindrical particle in plane Poiseuille flow of shear thinning fluids are investigated by direct numerical simulation. Previous works on this topic for Newtonian fluids show that the two-dimensional channel can be divided into alternating regions defined by the stability of the...
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