Generation of vortices in an axisymmetric shear flow

Dovzhenko, V. A.; Obukhov, A. M.; Пономарев, В. М.

doi:10.1007/bf01094592

Cited by 9 publications

(6 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…are much smaller than those associated with the horizontal directions (ρL 2 /µ). Furthermore, if the direction of the forcing f is independent of z, we can assume the direction of the velocity to be independent of the height z, allowing the velocity field to be factored as [28,29] V(x, y, z, t)…”

Section: Generalized 2d Vorticity Equationmentioning

confidence: 99%

“…For flows with the characteristic horizontal length scale L which is substantially larger than the thickness h, the characteristic times describing equilibration of momentum in the vertical direction (ρh 2 /µ) are much smaller than those associated with the horizontal directions (ρL 2 /µ). Furthermore, if the direction of the forcing f is independent of z, we can assume the direction of the velocity to be independent of the height z, allowing the velocity field to be factored as [28,29] V(x, y, z, t) = P (z)U(x, y, t)…”

Section: Generalized 2d Vorticity Equationmentioning

confidence: 99%

See 1 more Smart Citation

Velocity profile in a two-layer Kolmogorov-like flow

et al. 2014

View full text Add to dashboard Cite

In this article we discuss flows in shallow, stratified horizontal layers of two immiscible fluids.The top layer is an electrolyte which is electromagnetically driven and the bottom layer is a dielectric fluid. Using a quasi-two-dimensional approximation, we derive the depth-averaged twodimensional (2D) vorticity equation which includes a prefactor to the advection term, previously unaccounted for. In addition, we study how the horizontal components of velocity vary in the vertical direction. For a Kolmogorov-like flow, we evaluate analytical expressions for the coefficients in the generalized 2D vorticity equation, uncovering their dependence on experimental parameters.To test the accuracy of these estimates, we experimentally measure the horizontal velocity fields at the free-surface and at the electrolyte-dielectric interface using particle image velocimetry (PIV).We show that there is excellent agreement between the analytical predictions and the experimental measurements. Our analysis shows that by increasing the viscosity of the electrolyte relative to that of the dielectric, one may significantly improve the uniformity of the flow along the vertical direction.

show abstract

Section: Generalized 2d Vorticity Equationmentioning

confidence: 99%

Section: Generalized 2d Vorticity Equationmentioning

confidence: 99%

Velocity profile in a two-layer Kolmogorov-like flow

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Electromagnetic forcing of conducting fluids can be used to induce their motion in conditions where driving them mechanically is either impossible due to an aggressive environment or extreme confinement, or undesirable because of the intrusive nature of mechanical excitation. Various metallurgical processes occurring at high temperatures (Moffatt 1991) or mixing of conducting fluids in microfluidic devices (Pérez-Barrera, Ortiz & Cuevas 2016) offer examples of the former while the latter is frequently the case in physical modelling of atmospheric phenomena in laboratory conditions, which has been pioneered by Soviet researchers (Dovzhenko, Novikov & Obukhov 1979;Dovzhenko, Obukhov & Ponomarev 1981;Dovzhenko, Krymov & Ponomarev 1984;Krymov 1989;Manin 1989;Dolzhanskii, Krymov & Manin 1990), see also Bondarenko, Gak & Gak (2002), Kenjeres (2011), and which has inspired the current study. A more detailed review of relevant applications can be found in our previous publication Suslov, Pérez-Barrera & Cuevas (2017).…”

Section: Introductionmentioning

confidence: 99%

Linear stability and saddle-node bifurcation of electromagnetically driven electrolyte flow in an annular layer

McCloughan

Suslov

2020

J. Fluid Mech.

View full text Add to dashboard Cite

“…To address this deficiency, Suri et al (2014) have investigated the variation in the horizontal velocity v(x, y, z, t) along the confined direction z for a stratified two-immisciblelayer setup. Following Dovzhenko et al (1981), the Q2D velocity was approximated as v(x, y, z, t) = P (z)u(x, y, t) = P (z) [u x (x, y, t)x + u y (x, y, t)ŷ] ,…”

Section: Introductionmentioning

confidence: 99%

Bifurcations in a quasi-two-dimensional Kolmogorov-like flow

et al. 2017

View full text Add to dashboard Cite

We present a combined experimental and theoretical study of the primary and secondary instabilities in a Kolmogorov-like flow. The experiment uses electromagnetic forcing with an approximately sinusoidal spatial profile to drive a quasi-two-dimensional (Q2D) shear flow in a thin layer of electrolyte suspended on a thin lubricating layer of a dielectric fluid. Theoretical analysis is based on a 2D model (Suri et al. 2014), derived from first principles by depth-averaging the full three-dimensional Navier-Stokes equations. As the strength of the forcing is increased, the Q2D flow in the experiment undergoes a series of bifurcations, which is compared with results from direct numerical simulations of the 2D model. The effects of confinement and the forcing profile are studied by performing simulations that assume spatial periodicity and strictly sinusoidal forcing, as well as simulations with realistic no-slip boundary conditions and an experimentally validated forcing profile. We find that only the simulation subject to physical no-slip boundary conditions and a realistic forcing profile provides close, quantitative agreement with the experiment. Our analysis offers additional validation of the 2D model as well as a demonstration of the importance of properly modelling the forcing and boundary conditions. arXiv:1601.00243v3 [physics.flu-dyn]

show abstract

Generation of vortices in an axisymmetric shear flow

Cited by 9 publications

References 0 publications

Velocity profile in a two-layer Kolmogorov-like flow

Velocity profile in a two-layer Kolmogorov-like flow

Linear stability and saddle-node bifurcation of electromagnetically driven electrolyte flow in an annular layer

Bifurcations in a quasi-two-dimensional Kolmogorov-like flow

Contact Info

Product

Resources

About