Low Mach number fluctuating hydrodynamics for electrolytes

Péraud, Jean-Philippe; Nonaka, Andy; Chaudhri, Anuj; Bell, John B.; Donev, Aleksandar; Garcia, Alejandro L.

doi:10.1103/PhysRevFluids.1.074103

Low Mach number fluctuating hydrodynamics for electrolytes

Journal Article · Thu Nov 17 23:00:00 EST 2016 · Physical Review Fluids

DOI:https://doi.org/10.1103/PhysRevFluids.1.074103· OSTI ID:1379816

Péraud, Jean-Philippe ^[1]; Nonaka, Andy ^[1]; Chaudhri, Anuj ^[2]; Bell, John B. ^[1]; Donev, Aleksandar ^[3]; Garcia, Alejandro L. ^[4]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Division
Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India). Engineering Mechanics Unit
New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences
San Jose State Univ., CA (United States). Dept. of Physics and Astronomy

Here, we formulate and study computationally the low Mach number fluctuating hydrodynamic equations for electrolyte solutions. We are also interested in studying transport in mixtures of charged species at the mesoscale, down to scales below the Debye length, where thermal fluctuations have a significant impact on the dynamics. Continuing our previous work on fluctuating hydrodynamics of multicomponent mixtures of incompressible isothermal miscible liquids (A. Donev, et al., Physics of Fluids, 27, 3, 2015), we now include the effect of charged species using a quasielectrostatic approximation. Localized charges create an electric field, which in turn provides additional forcing in the mass and momentum equations. Our low Mach number formulation eliminates sound waves from the fully compressible formulation and leads to a more computationally efficient quasi-incompressible formulation. Furthermore, we demonstrate our ability to model saltwater (NaCl) solutions in both equilibrium and nonequilibrium settings. We show that our algorithm is second-order in the deterministic setting, and for length scales much greater than the Debye length gives results consistent with an electroneutral/ambipolar approximation. In the stochastic setting, our model captures the predicted dynamics of equilibrium and nonequilibrium fluctuations. We also identify and model an instability that appears when diffusive mixing occurs in the presence of an applied electric field.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1379816

Alternate ID(s):: OSTI ID: 1332778

Journal Information:: Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 7 Vol. 1; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Fluctuating hydrodynamics of reactive liquid mixtures Kim, Changho; Nonaka, Andy; Bell, John B. The Journal of Chemical Physics, Vol. 149, Issue 8 https://doi.org/10.1063/1.5043428	journal	August 2018
On the suppression and distortion of non-equilibrium fluctuations by transpiration Ladiges, Daniel R.; Nonaka, Andrew J.; Bell, John B. Physics of Fluids, Vol. 31, Issue 5 https://doi.org/10.1063/1.5093922	journal	May 2019
On the Suppression and Distortion of Non-Equilibrium Fluctuations by Transpiration Ladiges, Daniel R.; Nonaka, Andrew J.; Bell, John B. arXiv https://doi.org/10.48550/arxiv.1902.10598	text	January 2019

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