It is shown that during the process, vortex displacements of atomic groups occur near the film edges due to nonuniform stress distribution in the film.
where u(0) is the initial vortex core displacement and 1 / τ + J = 2 d 0 ω 0 ′ J / J c 1 - 1 is the inverse relaxation time for J > Jc 1 (order of 100 ns).
The vortex atomic displacements are dynamic defects and their generation is an accommodation mechanism by which the stress distribution reaches uniformity.
It is then shown that the critical Karlovitz number corresponding to the transition of V to M shape may be expressed by the product of a velocity gradient g calculated with the bulk injection velocity U and a characteristic scale of the outer recirculation zone, the laminar flame thickness α/SL, and the inverse of a vortex induced flame displacement speed SθT.
The resulting displacement of the vortex sheet is expressed in simple terms.
The dominant frequency of the surface pressure is insensitive to cross-stream displacements of the vortex axis relative to the leading edge of the fin.
The international community has spent nearly six years watching Syria transform into a vortex of killing and maiming and displacement, but remains unwilling to do anything more than issue verbal condemnations of the constant, flagrant violations of international law.
It is observed that the triple flames maintain a positive displacement speed when the vortex strength is weak, such that they penetrate into the channel between the vortices.
This chapter introduces other meter types used in the industry, including Coriolis meters, magnetic meters, ultrasonic meters (Dopplers, and transit time ultrasonic meters), multiphase meters, positive displacement meters, turbine meters, vortex shedding meters and special purpose meters.
The strongest natural fluctuations of stratospheric ozone (about 1% at 10 hPa) above Bern occur during winter due to displacements and deformations of the polar vortex towards mid-latitudes.
