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Thermo-osmotic flow in slit channels with boundary slip: giant flow amplification between polarized graphene surfaces

Published online by Cambridge University Press:  24 July 2023

Doyel Pandey Open the ORCID record for Doyel Pandey [Opens in a new window]  and
Steffen Hardt Open the ORCID record for Steffen Hardt [Opens in a new window]
Doyel Pandey
Affiliation:
Fachbereich Maschinenbau, Fachgebiet Nano- und Mikrofluidik, Technische Universität Darmstadt, Peter-Grünberg-Straße 10, 64287 Darmstadt, Germany
Steffen Hardt*
Affiliation:
Fachbereich Maschinenbau, Fachgebiet Nano- und Mikrofluidik, Technische Universität Darmstadt, Peter-Grünberg-Straße 10, 64287 Darmstadt, Germany
*
†Email address for correspondence: hardt@nmf.tu-darmstadt.de
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Abstract

The thermo-osmotic flow (TOF) of an electrolyte solution in a slit channel with a Navier slip condition at the channel walls is studied. An analytical expression for the TOF velocity profile, based on the long-wavelength and Debye–Hückel approximations, is derived and compared to numerical solutions based on the finite-element method. The TOF between graphene surfaces whose charge is created via polarization through an applied electric field is considered as a special case. Using the relationship between the surface charge and the slip length obtained from molecular dynamics simulations, a giant flow amplification is uncovered. Specifically, for such flow in a channel with a width of 10 nm, compared to the flow between no-slip walls, a flow velocity enhancement by a factor of up to 250 is predicted.

JFM classification

Low-Reynolds-number flows: Lubrication theory MHD and Electrohydrodynamics: Electrokinetic flows Micro-/Nano-fluid dynamics: Microscale transport
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 967 , 25 July 2023 , R5
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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