arXiv subjects

Clarissa Schönecker

Publications and source records attributed to Clarissa Schönecker.

8 recordsLinked to original sources

arXiv2026

Converting vertical heat supply into horizontal motion for microtechnological pumping and autonomous waste heat recovery

The rapid advancement of high-performance computing infrastructure and its extended application produce an increasing amount of waste heat. This heat constitutes an unsustainable loss of energy as well as requires cooling solutions that transcend conventional thermal management. Here, we demonstrate a novel mechanism that converts vertical waste heat supply directly into horizontal fluid motion, enabling autonomous, self-powered pumping in microenvironments. Our approach is based on a concept that combines geometric symmetry breaking with heterogeneous thermal conductivities to induce local thermocapillary Marangoni flows. We provide an implementation of the concept as well as an experimental and numerical proof-of-concept, showing good agreement between the respective flow fields. The approach is scalable and operates under realistic areal heating conditions. It enables versatile pumping designs for microtechnological applications, lab-on-a-chip architectures, passive thermal management and heat-driven microfluidic systems.

physics.flu-dyn↗

arXiv2024

Inertial forces and elastohydrodynamic interaction of spherical particles in wall-bounded sedimentation experiments at low particle Reynolds number

Wall-bounded sedimentation of spherical particles at low particle Reynolds numbers $Re_\text{P}\lessapprox 0.1$ under the influence of elastic deformation was investigated experimentally. The complete kinematics of both elastic and rigid spheres sedimenting from rest near a rigid or an elastic plane wall in a rectangular duct were recorded. Several specific phenomena related to both inertial and elastohydrodynamic effects were identified and discussed. Among these phenomena is an inertial wall attraction, i.e., particles approach the wall while being accelerated from rest. It was found, that this initial attraction was a universal, purely hydrodynamic phenomenon which occurred in all experiments at $Re_\text{P}\lessapprox 0.1$. After the initial stage, rigid spheres sedimenting at $Re_\text{P}\approx O(10^{-1}$) near the wall behaved in the classical way, showing linear migration due to hydrodynamic lift forces. Non-classic evolution of the particle velocity with respect to the wall distance was observed for both rigid and elastic spheres sedimenting at $Re_\text{P}\approx O(10^{-2}$). Sedimentation was persistently unsteady and the spheres decelerated although the wall distance was increased. Another phenomenon is that very soft spheres showed instationarities superimposed by nonlinearities. These peculiarities in the kinematics are attributed to the non-trivial coupling between particle-fluid inertial forces and elastic effects, i.e., to the existence of elastohydrodynamic memory. Instationarities were also observed during the sedimentation of rigid spheres along an elastic wall. For example, in the near-wall region, elastohydrodynamic interactions damped the dynamics during mass acceleration. Meanwhile, persistent undulating motion towards the wall was observed, i.e., elastohydrodynamic particle trapping instead of hydrodynamic lift was observed.

physics.flu-dyn↗

arXiv2023

Analytical models for pressure-driven Stokes flow through superhydrophobic and liquid infused tubes and annular pipes

Analytical expressions for the velocity field and the effective slip length of pressure-driven Stokes flow through slippery pipes and annuli with rotationally symmetrical longitudinal slits are derived. Specifically, the developed models incorporate a finite local slip length or shear stress along the slits and thus go beyond the assumption of perfect slip commonly employed for superhydrophobic surfaces. Thereby, they provide the possibility to assess the influence of both the viscosity of the air or other fluid that is modelled to fill the slits as well as the influence of the micro-geometry of these slits. Firstly, expressions for tubes and annular pipes with superhydrophobic or slippery walls are provided. Secondly, these solutions are combined to a tube-within-a circular pipe scenario, where one fluid domain provides a slip to the other. This scenario is interesting as an application to achieve stable fluid-fluid interfaces. With respect to modelling, it illustrates the specification of the local slip length depending on a linked flow field. The comparisons of the analytically calculated solutions with numerical simulations shows excellent agreement. The results of this article thus represent an important instrument for the design and optimization of slippage along surfaces in circular geometries.

physics.flu-dyn↗

arXiv2020

Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks

We investigate theoretically on the basis of the steady Stokes equations for a viscous incompressible fluid the flow induced by a Stokeslet located on the centre axis of two coaxially positioned rigid disks. The Stokeslet is directed along the centre axis. No-slip boundary conditions are assumed to hold at the surfaces of the disks. We perform the calculation of the associated Green's function in large parts analytically, reducing the spatial evaluation of the flow field to one-dimensional integrations amenable to numerical treatment. To this end, we formulate the solution of the hydrodynamic problem for the viscous flow surrounding the two disks as a mixed-boundary-value problem, which we then reduce into a system of four dual integral equations. We show the existence of viscous toroidal eddies arising in the fluid domain bounded by the two disks, manifested in the plane containing the centre axis through adjacent counterrotating eddies. Additionally, we probe the effect of the confining disks on the slow dynamics of a point-like particle by evaluating the hydrodynamic mobility function associated with axial motion. Thereupon, we assess the appropriateness of the commonly-employed superposition approximation and discuss its validity and applicability as a function of the geometrical properties of the system. Additionally, we complement our semi-analytical approach by finite-element computer simulations, which reveals a good agreement. Our results may find applications in guiding the design of microparticle-based sensing devices and electrokinetic transport in small scale capacitors.

cond-mat.soft↗

arXiv2019

Rotation of a submerged finite cylinder moving down a soft incline

A submerged finite cylinder moving under its own weight along a soft incline lifts off and slides at a steady velocity while also spinning. Here, we experimentally quantify the steady spinning of the cylinder and show theoretically that it is due to a combination of an elastohydrodynamic torque generated by flow in the variable gap, and the viscous friction on the edges of the finite-length cylinder. The relative influence of the latter depends on the aspect ratio of the cylinder as well as the deformability of the substrate, which we express in term of a single scaled compliance parameter. By varying this compliance parameter, we show that our experimental results are consistent with a transition from an edge-effect dominated regime for short cylinders to a gap-dominated elastohydrodynamic regime when the cylinder is very long.

cond-mat.soft↗

arXiv2017

Rotation of an immersed cylinder sliding near a thin elastic coating

It is known that an object translating parallel to a soft wall in a viscous fluid produces hydro- dynamic stresses that deform the wall, which, in turn, results in a lift force on the object. Recent experiments with cylinders sliding under gravity near a soft incline, which confirmed theoretical arguments for the lift force, also reported an unexplained steady-state rotation of the cylinders [Saintyves et al. PNAS 113(21), 2016]. Motivated by these observations, we show, in the lubrication limit, that an infinite cylinder that translates in a viscous fluid parallel to a soft wall at constant speed and separation distance must also rotate in order to remain free of torque. Using the Lorentz reciprocal theorem, we show analytically that for small deformations of the elastic layer, the angular velocity of the cylinder scales with the cube of the sliding speed. These predictions are confirmed numerically. We then apply the theory to the gravity-driven motion of a cylinder near a soft incline and find qualitative agreement with the experimental observations, namely that a softer elastic layer results in a greater angular speed of the cylinder.

physics.flu-dyn↗

arXiv2013

Influence of the enclosed fluid on the flow over a microstructured surface in the Cassie state

Analytical expressions for the flow field as well as for the effective slip length of a shear flow over a surface with periodic rectangular grooves are derived. The primary fluid is in the Cassie state with the grooves being filled with a secondary immiscible fluid. The coupling of both fluids is reflected in a locally varying slip distribution along the fluid-fluid interface, which models the effect of the secondary fluid on the outer flow. The obtained closed-form analytical expressions for the flow field and effective slip length of the primary fluid explicitly contain the influence of the viscosities of the two fluids as well as the magnitude of the local slip, which is a function of the surface geometry. They agree well with results from numerical computations of the full geometry. The analytical expressions allow investigating the influence of the viscous stresses inside the secondary fluid for arbitrary geometries of the rectangular grooves. For classic superhydrophobic surfaces, the deviations in the effective slip length compared to the case of inviscid gas flow are are pointed out. Another important finding with respect to an accurate modeling of flow over microstructured surfaces is that the local slip length of a grooved surface is anisotropic.

physics.flu-dyn↗

arXiv2012

Longitudinal and transversal flow over a cavity containing a second immiscible fluid

An analytical solution for the flow field of a shear flow over a rectangular cavity containing a second immiscible fluid is derived. While flow of a single-phase fluid over a cavity is a standard case investigated in fluid dynamics, flow over a cavity which is filled with a second immiscible fluid, has received little attention. The flow filed inside the cavity is considered to define a boundary condition for the outer flow which takes the form of a Navier slip condition with locally varying slip length. The slip-length function is determined from the related problem of lid-driven cavity flow. Based on the Stokes equations and complex analysis it is then possible to derive a closed analytical expression for the flow field over the cavity for both the transversal and the longitudinal case. The result is a comparatively simple function, which displays the dependence of the flow field on the cavity geometry and the medium filling the cavity. The analytically computed flow field agrees well with results obtained from a numerical solution of the Navier-Stokes equations. The studies presented in this article are of considerable practical relevance, for example for the flow over superhydrophobic surfaces.

physics.flu-dyn↗