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Thin viscous liquid films driven by capillarity are well described in the lubrication theory through the thin film equation. In this article, we present an analytical solution of this equation for a particular initial profile: a stepped…

Soft Condensed Matter · Physics 2015-06-11 Thomas Salez , Joshua D. McGraw , Oliver Bäumchen , Kari Dalnoki-Veress , Élie Raphaël

Forced convection cooling is important in numerous technologies ranging from microprocessors in data centers to turbines and engines; active cooling is essential in these situations. However, active transfer of heat or thermal energy under…

Chemical Physics · Physics 2020-01-08 Yutaka Ikeda , Kazuki Fukui , Yoichi Murakami

In this article we calculate the surface phase diagram of a two-dimensional hard-rod fluid confined between two hard lines. In a first stage we study the semi-infinite system consisting of an isotropic fluid in contact with a single hard…

Statistical Mechanics · Physics 2009-11-13 Yuri Martinez-Raton

We investigate the interplay of thermophoretic force and interfacial tension on the capillary filling dynamics of a Newtonian nanofluid in a microchannel. In our model, we also consider an intricate thermofluidic coupling by taking the…

Fluid Dynamics · Physics 2017-11-29 Soumya Bandyopadhyay , Suman Chakraborty

In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The…

Fluid Dynamics · Physics 2020-02-20 Matthew Hunt , Denys Dutykh

Capillary-driven flow of fluids occurs frequently in nature and has a wide range of technological applications in the fields of industry, agriculture, medicine, biotechnology, and microfluidics. By using the Onsager variational principle,…

Soft Condensed Matter · Physics 2024-03-07 Ke Xiao , Chen-Xu Wu

We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal…

Fluid Dynamics · Physics 2022-07-22 Hyejeong L. Cheon , Hursanay Fyhn , Alex Hansen , Øivind Wilhelmsen , Santanu Sinha

We consider an immiscible two-phase flow in a heterogeneous one-dimensional porous medium. We suppose particularly that the capillary pressure field is discontinuous with respect to the space variable. The dependence of the capillary…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

Electroconvection and its coupling with a morphological instability are important in many applications, including electrodialysis, batteries and fuel cells. In this work, we study the effects of a two-dimensional channel flow on the…

Fluid Dynamics · Physics 2021-03-17 Gaojin Li , Alex Townsend , Lynden A. Archer , Donald L. Koch

A computational framework is developed to address capillary self-focusing in Step Emulsification. The microfluidic system consists of a single shallow and wide microchannel that merges into a deep reservoir. A continuum approach coupled…

Fluid Dynamics · Physics 2016-11-23 M. Hein , R. Seemann , S. Afkhami

Using molecular dynamics simulation, we investigate transport properties of a classical two-dimensional electron system confined in a microchannel with a narrow constriction. As a function of the confinement strength of the constriction,…

Mesoscale and Nanoscale Physics · Physics 2012-10-18 Moto Araki , Hisao Hayakawa

This paper proposes a simple and accurate lattice Boltzmann model for simulating thermocapillary flows, which is able to deal with thermophysical parameters contrasts. In this model, two lattice Boltzmann equations are utilized to solve the…

Fluid Dynamics · Physics 2023-06-21 Lei Wanga , Kun Hea , Huili Wang

The formulation of a model for the evolution of the flow of a solid-liquid mixture (coal-water) in a horizontal pipeline with partial phase separation is the aim of this work. Problems of instabilities due to complex eigenvalues, observed…

Fluid Dynamics · Physics 2010-12-14 Alessandro Speranza

The present study looks into the pinch-off dynamics of a compound droplet, which is suspended in another fluid in a parallel plate microchannel. The droplet is subjected to a transverse electric field in the presence of an imposed pressure…

Fluid Dynamics · Physics 2019-06-26 Somnath Santra , Sayan Das , Suman Chakraborty

The main aim of this study is to find the best, most rapid, and the most accurate numerical method to find the liquid-gas interface of capillary driven flow during the time in circular Microchannels by using COMSOL Multiphysics software.…

Applied Physics · Physics 2018-05-22 Arshya Bamshad , Alireza Nikfarjam , Mohammad Hossein Sabour , Hassan Raji

In this study, capillary-driven flow of different pure liquids and diluted bitumen samples were studied using microfluidic channel (width of 30 um and depth of 9 um). Capillary filling kinetics of liquids as a function of time were…

Soft Condensed Matter · Physics 2016-12-01 Kiarash Keshmiri , Saeed Mozaffari , Plamen Tchoukov , Haibo Huang , Neda Nazemifard

We present a systematic study of capillary filling for multi-phase flows by using mesoscopic lattice Boltzmann models describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical…

Cellular Automata and Lattice Gases · Physics 2007-07-09 F. Diotallevi , L. Biferale , S. Chibbaro , A. Lamura , G. Pontrelli , M. Sbragaglia , S. Succi , F. Toschi

The flow of an electrically conducting fluid in a thin disc under the action of an azimuthal Lorentz force is studied experimentally. At small forcing, the Lorentz force is balanced by either viscosity or inertia, yielding quasi-Keplerian…

Fluid Dynamics · Physics 2021-09-14 Marlone Vernet , Michael Pereira , Stephan Fauve , Christophe Gissinger

Flow structure near three phase contact line (TPCL) of evaporating liquids plays a significant role in liquid wetting and dewetting, liquid film evaporation and boiling, etc. Despite the wide focus it receives, the interacting mechanisms…

Fluid Dynamics · Physics 2024-01-19 Zhenying Wang , George Karapetsas , Prashant Valluri , Chihiro Inoue

Possible mechanisms of overlimiting current in unsupported electrolytes, exceeding diffusion limitation, have been intensely studied for their fundamental significance and applications to desalination, separations, sensing, and energy…

Fluid Dynamics · Physics 2015-06-22 Sungmin Nam , Inhee Cho , Joonseong Heo , Geunbae Lim , Martin Z. Bazant , Gunyong Sung , Sung Jae Kim