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Stochastic modeling of electrohydrodynamically enhanced drag in one-way and fully coupled turbulent Poiseuille and Couette flow

  • Joint predictive modeling of hydrodynamics and electrokinetics is a standing numerical challenge but crucial for various applications in electrochemistry and power engineering. The present lack in modeling of electrohydrodynamic (EHD) turbulent flows lies in the treatment of small-scale processes and scale interactions. To overcome these limitations, a stochastic one-dimensional turbulence (ODT) model is utilized. The model aims to resolve all scales of the flow, but only on a notional line-of-sight, modeling turbulent advection by a stochastically sampled sequence of eddy events that punctuate deterministic molecular diffusive advancement. In this study, two canonical flow configurations are investigated that address different coupling strategies and flow physics. First, EHD effects in a variable-density vertical pipe flow of an ideal gas with an inner concentric electrode are investigated with a one-way coupled model formulation. Electric fields are generated by means of a corona discharge and the corresponding effect of a fixedJoint predictive modeling of hydrodynamics and electrokinetics is a standing numerical challenge but crucial for various applications in electrochemistry and power engineering. The present lack in modeling of electrohydrodynamic (EHD) turbulent flows lies in the treatment of small-scale processes and scale interactions. To overcome these limitations, a stochastic one-dimensional turbulence (ODT) model is utilized. The model aims to resolve all scales of the flow, but only on a notional line-of-sight, modeling turbulent advection by a stochastically sampled sequence of eddy events that punctuate deterministic molecular diffusive advancement. In this study, two canonical flow configurations are investigated that address different coupling strategies and flow physics. First, EHD effects in a variable-density vertical pipe flow of an ideal gas with an inner concentric electrode are investigated with a one-way coupled model formulation. Electric fields are generated by means of a corona discharge and the corresponding effect of a fixed ionic charge density field. Second, in order to reduce physical complexity, EHD effects the turbulent boundary layers in plane Couette flow of an isothermal univalent ionic liquid are investigated with a fully coupled model formulation. Both application cases demonstrate that ODT has predictive capabilities due to multiscale resolution of transport processes. Present results suggest that more expensive fully than one-way coupling of electrokinetics is crucial when charge relaxation times are significantly larger than the mean advection time scale.show moreshow less

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Metadaten
Author: Marten KleinORCiD, Juan Alí Medina MéndezORCiD, Heiko SchmidtORCiD
DOI:https://doi.org/10.24352/UB.OVGU-2023-049
ISSN:0232-3869
Title of the source (German):Technische Mechanik
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2023
Tag:electrohydrodynamic turbulence; high Schmidt number; multiphysical boundary layers; one-dimensional turbulence; turbulent drag enhancement
Volume/Year:43
Issue number:1
First Page:111
Last Page:127
Comment:
This article is part of the "Special Issue for CMFF’22".
Way of publication:Open Access
Faculty/Chair:Fakultät 3 Maschinenbau, Elektro- und Energiesysteme / FG Numerische Strömungs- und Gasdynamik
Zentrale Einrichtungen / Energie-Innovationszentrum / Scientific Computing Lab
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