Volume 125, Number 1, January 2019
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||21 January 2019|
Stability of an accelerated hydrodynamic discontinuity
1 California Institute of Technology - Pasadena, CA 91125, USA
2 Landau Institute for Theoretical Physics of the Academy of Sciences - Chernogolovka 142432, Russia
3 The University of Western Australia - Perth, WA 6009, Australia
Received: 28 July 2018
Accepted: 7 December 2018
We analyze from a far field the evolution of an accelerated interface separating ideal incompressible fluids of different densities. We develop and apply a general matrix method and identify a new fluid instability that occurs only when the acceleration magnitude exceeds a threshold value depending on the fluids' density ratio and uniform velocities and the perturbation wavelength. The dynamics conserves the fluxes of mass, momentum and energy, has potential velocity fields in the bulk, and is shear-free at the interface. The interface stability is set by the interplay of inertia and acceleration. Surface tension may also stabilize the dynamics by a distinct mechanism. The growth rate, the flow fields' structure and stabilization mechanisms of this new fluid instability depart substantially from those of other instabilities, thus suggesting new opportunities for the understanding, diagnostics, and control of interfacial dynamics.
PACS: 47.20.Ma – Interfacial instabilities (e.g., Rayleigh-Taylor) / 47.20.-k – Flow instabilities / 52.35.-g – Waves, oscillations, and instabilities in plasmas and intense beams
© EPLA, 2019
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.