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Theoretical models of evaporating droplets predict Marangoni flows orders of magnitude faster than those observed experimentally. While this discrepancy is often attributed to surface contamination, the underlying mechanism by which…

The effect of random surface roughness on hydrodynamics of viscous incompressible liquid is discussed. Roughness-driven contributions to hydrodynamic flows, energy dissipation, and friction force are calculated in a wide range of…

Soft Condensed Matter · Physics 2009-11-07 I. V. Ponomarev , A. E. Meyerovich

We examine dissipation and energy conversion in weakly collisional plasma turbulence, employing in situ observations from the Magnetospheric Multiscale (MMS) mission and kinetic Particle-in-Cell (PIC) simulations of proton-electron plasma.…

In this paper we consider a layer of incompressible viscous fluid lying above a flat periodic surface in a uniform gravitational field. The upper boundary of the fluid is free and evolves in time. We assume that a mass of surfactants…

Analysis of PDEs · Mathematics 2016-06-10 Chanwoo Kim , Ian Tice

We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of…

Soft Condensed Matter · Physics 2017-12-06 Tapan Chandra Adhyapak , Sara Jabbari-Farouji

External forces acting on a microswimmer can feed back on its self-propulsion mechanism. We discuss this load response for a generic microswimmer that swims by cyclic shape changes. We show that the change in cycle frequency is proportional…

Biological Physics · Physics 2018-05-02 Benjamin M. Friedrich

In this work, we develop a computational framework that aims at simultaneously optimizing the shape and the slip velocity of an axisymmetric microswimmer suspended in a viscous fluid. We consider shapes of a given reduced volume that…

Optimization and Control · Mathematics 2024-05-02 Ruowen Liu , Hai Zhu , Hanliang Guo , Marc Bonnet , Shravan Veerapaneni

We establish through numerical simulation conditions for optimal undulatory propulsion for a single fish, and for a pair of hydrodynamically interacting fish, accounting for linear and angular recoil. We first employ systematic 2D…

Fluid Dynamics · Physics 2017-04-05 Audrey P. Maertens , Amy Gao , Michael S. Triantafyllou

Surfactants that are deposited at aqueous liquid films have the ability to generate surface tension gradients at the air-water interface, and thereby induce Marangoni flow. Combined with the production and depletion of surfactants at…

Fluid Dynamics · Physics 2024-07-17 Julio Careaga , Peter A. Korevaar , Vanja Nikolić , Laura Scarabosio

The ability of microswimmers to deploy optimal propulsion strategies is of paramount importance for their locomotory performance and survival at low Reynolds numbers. Although for perfectly spherical swimmers minimum dissipation requires a…

Fluid Dynamics · Physics 2021-07-13 Abdallah Daddi-Moussa-Ider , Babak Nasouri , Andrej Vilfan , Ramin Golestanian

We experimentally study steady Marangoni-driven surfactant transport on the interface of a deep water layer. Using hydrodynamic measurements, and without using any knowledge of the surfactant physico-chemical properties, we show that sodium…

Fluid Dynamics · Physics 2018-02-06 S. Mandre , V. S. Akella , D. K. Singh , R. S. Singh , M. M. Bandi

We study the effective slippage on superhydrophobic grooves with trapezoidal cross-sections of various geometries (including the limiting cases of triangles and rectangular stripes), by using two complementary approaches. First, dissipative…

Fluid Dynamics · Physics 2015-03-17 Jiajia Zhou , Evgeny S. Asmolov , Friederike Schmid , Olga I. Vinogradova

We theoretically and computationally study the low-Reynolds-number hydrodynamics of a linear active microswimmer surfing on a compressible thin fluid layer characterized by an odd viscosity. Since the underlying three-dimensional fluid is…

Soft Condensed Matter · Physics 2023-10-25 Yuto Hosaka , Ramin Golestanian , Abdallah Daddi-Moussa-Ider

Marangoni instabilities can emerge when a liquid interface is subjected to a concentration or temperature gradient. It is generally believed that for these instabilities bulk effects like buoyancy are negligible as compared to interfacial…

Fluid Dynamics · Physics 2021-03-31 Yanshen Li , Christian Diddens , Andrea Prosperetti , Detlef Lohse

In this manuscript we describe the realization of a minimal hybrid microswimmer, composed of a ferromagnetic nanorod and a paramagnetic microsphere. The unbounded pair is propelled in water upon application of a swinging magnetic field that…

We present and analyze a theoretical model for the dynamics and interactions of "capillary surfers," which are millimetric objects that self-propel while floating at the interface of a vibrating fluid bath. In our companion paper [1], we…

Fluid Dynamics · Physics 2024-11-25 Anand U. Oza , Giuseppe Pucci , Ian Ho , Daniel M. Harris

Drag reduction by microbubbles is a promising engineering method for improving ship performance. A fundamental theory of the phenomenon is lacking however, making actual design quite uphazard. We offer here a theory of drag reduction by…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich

The swimming of an elliptical disk at small Reynolds number is studied on the basis of a perturbative solution of the Navier-Stokes equations for fluid flow near a deformable infinite sheet. A stroke involving an elliptically polarized…

Fluid Dynamics · Physics 2016-12-21 B. U. Felderhof

The Oseen problem in a viscous fluid is formulated for studying the transient free-surface and Marangoni waves generated by the impulsive motion of a submerged body beneath a surface with surfactants. Wave asymptotics and wavefronts for…

Fluid Dynamics · Physics 2023-08-08 Jian-Jun Shu

The magnetic Reynolds number R_M, is defined as the product of a characteristic scale and associated flow speed divided by the microphysical magnetic diffusivity. For laminar flows, R_M also approximates the ratio of advective to…

Astrophysics · Physics 2009-11-13 Eric G. Blackman , George B. Field
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