Premium
Towards a stochastic model for electrohydrodynamic turbulence with application to electrolytes
Author(s) -
Klein Marten,
Schmidt Heiko
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000128
Subject(s) - electrohydrodynamics , turbulence , electrolyte , mechanics , reynolds number , electric field , mean flow , voltage , physics , statistical physics , materials science , classical mechanics , electrode , quantum mechanics
We investigate turbulent Couette flows of dilute, weakly‐conducting electrolytes by utilizing the stochastic one‐dimensional turbulence (ODT) model. The flow is driven by relative motion of the top and bottom wall and affected by an electric field between these walls that is prescribed by a voltage difference. The electrolytes considered have zero bulk charge and consist of two ion species with the same mobility, valence, and initial concentration. The stochastic model predicts a decrease of the mean streamwise velocity when an external voltage is applied provided that both Schmidt ( Sc ) and Reynolds ( Re ) numbers are sufficiently large, that is, Sc ≥ 30 for Re = 12000 investigated. The effect observed is relevant for flow control, but the mechanism awaits clarification. Present ODT results may help to develop this understanding or design laboratory experiments.