Fluid‐Structure Interactions: Research in the Courant Institute's Applied Mathematics Laboratory

Childress, Stephen; Shelley, Michael; Zhang, Jun

doi:10.1002/cpa.21426

Cited by 3 publications

(5 citation statements)

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“…Experiments on thin filaments, deformable structures, or flow induced oscillations have been examined. [51][52][53] One interesting development by my group in collaboration with an Italian and a Swedish team focused on flow induced symmetry breaking in the problem of flow structure interaction. 53 This development opens the way towards passive flow induced locomotion with implications for sedimentation and particle transport in turbulent flows.…”

Section: Discussionmentioning

confidence: 99%

Hydrodynamics experiments with soap films and soap bubbles: A short review of recent experiments

Kellay

2017

Physics of Fluids

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In this short review, I focus on recent experiments that benefit from the advantages offered by the twodimensionality of the flow in suspended thin liquid films to reconsider hydrodynamics problems which have resisted a full understanding. The first problem discussed here concerns friction drag in channel flows. The use of turbulent channel flows, using thin liquid films, allows measurements of friction drag as well as mean velocity profiles for flows with different spectral exponents. Is there a link between the spectral properties of the turbulence and the mean velocity profiles or the frictional drag? This is the first question considered. The second issue examined considers the long time dynamics of large scale vortices. These are obtained in half bubbles rendered "turbulent" through thermal convection. These vortices, which live in a quasi two-dimensional environment, have a long time dynamics where their vorticity goes through what seems to be a well-defined cycle with generic features.

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Section: Discussionmentioning

confidence: 99%

Hydrodynamics experiments with soap films and soap bubbles: A short review of recent experiments

Kellay

2017

Physics of Fluids

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“…Replacing the ∆ψ i with their respective differential terms in equations (11) and performing some algebraic manipulation produces…”

Section: A Model For Chemical Reactionsmentioning

confidence: 99%

“…Assuming that the reactions and spatial fluxes act independently, the Γ i correspond to the rates given in equations (11). Rearranging and multiplying each equation by its respective molar mass M i gives…”

Section: B Mass Balance Equationsmentioning

confidence: 99%

“…The modeling challenges presented by this experiment involve a confluence of topics that have been studied before, namely ionic reactions [43,51], precipitation [1,52], passive diffusion through a membrane [12,16,33], and fluidstructure interaction [11,32,38,40,46,47,49]. The particular combination of these aspects provides the opportunity for a new model that captures them all.…”

Section: Introductionmentioning

confidence: 99%

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Multiphase modelling of precipitation-induced membrane formation

et al. 2020

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We formulate a model for the dynamic growth of a membrane developing in a flow as the result of a precipitation reaction, a situation inspired by recent microfluidic experiments. The precipitating solid introduces additional forces on the fluid and eventually forms a membrane that is fixed in the flow due to adhesion with a substrate. A key challenge is that the location of the immobile membrane is unknown a priori. To model this situation, we use a multiphase framework with fluid and membrane phases; the aqueous chemicals exist as scalar fields that react within the fluid to induce phase change. To verify that the model exhibits desired fluid-structure behaviors, we make a few simplifying assumptions to obtain a reduced form of the equations that is amenable to exact solution. This analysis demonstrates no-slip behavior on the developing membrane without a priori assumptions on its location. The model has applications towards precipitate reactions where the precipitate greatly affects the surrounding flow, a situation appearing in many laboratory and geophysical contexts including the hydrothermal vent theory for the origin of life. More generally, this model can be used to address fluid-structure interaction problems that feature the dynamic generation of structures.dynamically according to equations governing the chemistry. We choose to model the fluid-structure combination as a single multiphase material: one component fluid or solvent and one component structure or precipitate membrane. Such multiphase models have proven useful in a variety of complex-fluid applications, such as bacterial biofilms [13,14], tumor-growth [9,21,37,44], and biological membranes [27]; their formulation is based on averaging momentum and stresses in separated, multi-component fluids [17,18].The multiphase framework developed here builds on previous ones [13,25,52], but with some keys differences that are guided by a combination of physical principles, model simplicity, and the micro-fluidic experiments mentioned above. First, our formulation conserves the total mass of the components solvent, dissolved species, and precipitate membrane throughout evolution. In particular, the model accounts for changes in solute concentrations that result from the formation of new membrane and the associated exclusion of solvent volume. This effect is neglected in previous models that treat reaction chemicals as scalar fields distinct from the multiphase material, but is essential for overall mass conservation. The treatment of reaction chemicals as additional components of a multiphase material has been successfully modeled by many [35, 51, see] but greatly complicates the analysis, interpretation, and simulation of the governing equations. Second, by making certain choices in the averaging procedure for the multicomponent stress, our formulation becomes equivalent to an incompressible Brinkman system with variable permeability. This equivalence is important for a few reasons. First, it guarantees that the model reduces to the Stokes equations in...

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“…Very efficient preconditioners for monolithic schemes have been proposed in [20,73]. Interested readers are referred to [47], [18,4], [28], [17], and [56] for more details related to the work of different schools on numerical methods for FSI.…”

Section: Introductionmentioning

confidence: 99%

A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations

Liu

2015

Computers & Fluids

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Fluid‐Structure Interactions: Research in the Courant Institute's Applied Mathematics Laboratory

Cited by 3 publications

References 59 publications

Hydrodynamics experiments with soap films and soap bubbles: A short review of recent experiments

Hydrodynamics experiments with soap films and soap bubbles: A short review of recent experiments

Multiphase modelling of precipitation-induced membrane formation

A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations

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