Crosswind vibrations
Introduction
A Von Kármán vortex street, also known as Von Kármán vortices is a repeating pattern of swirling vortices caused by the unsteady separation of the fluid layer as it passes over submerged bodies. It owes its name to the engineer and student of fluid dynamics, Theodore von Kármán.[1] These repetitive vortices or whirlwinds are responsible for phenomena such as the sound caused by the vibration of telephone lines or suspended power lines and the vibration of a car antenna at certain speeds.
Analysis
Von Kármán vortex streets occur only when the Reynolds number (Re) registers certain values, usually greater than 90. The Reynolds number is a measure of the relationship between inertial and viscous forces in the flow of a fluid, which can be defined by the following formula:.
The range of Re values will oscillate depending on the size and shape of the body from which the vortices are produced as well as its countercurrents, that is, its eddies or eddies, as well as depending on the kinematic viscosity of the fluid. When it comes to high ranges of Re (47<Re<10 for circular cylinders), eddies are produced on each side of the body, forming two rows of vortices in its wake "Wake (trace)"), whose centers alternate, being in each row located in an intermediate position with respect to those of the other. Finally, energy is consumed by viscosity and the pattern disperses as a function of distance from the source.
When only one vortex is produced, an asymmetrical flow pattern forms around the body and the pressure distribution changes. This production of vortices can cause periodic lateral forces on the body, causing vibrations. If the vortex emits frequencies similar to those of a body or structure, it produces resonance "Resonance (mechanical)"), affecting telephone lines, ringing electrical networks or causing radio antennas "Antenna (radio)") to vibrate more strongly at certain speeds.
For an airfoil the reference length depends on the analysis. In fact, the airfoil chord is usually chosen as the reference length also for the aerodynamic coefficient for wing sections and thin airfoils where the main objective is to maximize the lift coefficient or the lift/drag ratio (i.e., as is usual in thin airfoil theory, one would employ the Reynolds chord as the flow velocity parameter to compare different airfoils). On the other hand, for fairings and struts the given parameter is usually the dimension of the internal structure to be rationalized (let's think for simplicity that it is a beam with a circular section), and the main objective is to minimize the drag coefficient or the drag/lift ratio. The main design parameter that naturally also becomes a reference length is therefore the profile thickness (the profile dimension or area perpendicular to the flow direction), rather than the profile chord.