The model analysis reveals that the basic particle velocity fluctuations constitute 2 terms: the velocity fluctuations of the discrete particles, and the velocity fluctuations of the continuous fluid flow.
Wind-speed data from four sites in Denmark have been analyzed in order to obtain estimates of the basic wind velocity, defined as the 50 yr wind speed (10 min averages) under standard conditions, i.e., 10 m over a homogeneous terrain with the roughness length 0.05 m.
The basic wind velocity in 30° sectors are obtained through ranking of the largest values of the friction velocity pressureρu∗2/2 taken once every two months.
The main conclusion is that the basic wind velocity is significantly larger at the west coast of Jutland (25±1 m/s) than at any of the other sites (22±1 m/s).
At the point at which the fluid layer is narrower, the basic flow velocity near the boundary is positive and can compensate the negative v z.
The flow density relationship for different geometric elements is important and further analysis like spatial and temporal development of the basic quantities (velocity, density and flow) on different elements like corridors, stairs and bottlenecks should be considered.
For a quadratic basic velocity profile at low Mach number, results are given from small to large wavenumbers with different Reynolds numbers, and compared with two simplified asymptotic approaches at the large wavenumber end.
Various designs of control algorithms are presented: basic velocity control, dynamic feedback linearization, Lyapunov-based control algorithms, Takagi-Sugeno fuzzy control, model-based predictive control, control based on particle swarm optimization, and visual servoing approaches.
Viscosity-induced instability finds its origin in a viscosity difference between the fluids, creating a jump in the basic-state velocity profile at the interface.
Phase-contrast CMR allows velocity encoding of moving structures and blood using the spin phase shift as the basic principle for velocity measurement.
