Experimental investigation of the Rayleigh–Bénard convection in a yield stress fluid

Kebiche, Zineddine; Castelain, Cathy; Burghelea, Teodor

doi:10.1016/j.jnnfm.2013.10.005

Cited by 58 publications

(79 citation statements)

References 40 publications

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“…Such a high Reynolds number indicates that such materials are not suitable to simulate the sub-lithospheric mantle (see Section 3.3). Carbopol hydrogels have been recently used to study convection (Balmforth and Rust, 2009;Darbouli et al, 2013;Kebiche et al, 2014), thermal plumes , and strain localisation in ductile strike-slip shear zones ). An advantage is that Carbopol promotes strain localisation with shear thinning, allowing one to better simulate natural shear zones .…”

Section: Materials With Linear Viscous Non-linear Viscous Visco-plamentioning

confidence: 99%

A review of analogue modelling of geodynamic processes: Approaches, scaling, materials and quantification, with an application to subduction experiments

Schellart

Strak

2016

Journal of Geodynamics

126

105

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a b s t r a c tWe present a review of the analogue modelling method, which has been used for 200 years, and continues to be used, to investigate geological phenomena and geodynamic processes. We particularly focus on the following four components: (1) the different fundamental modelling approaches that exist in analogue modelling; (2) the scaling theory and scaling of topography; (3) the different materials and rheologies that are used to simulate the complex behaviour of rocks; and (4) a range of recording techniques that are used for qualitative and quantitative analyses and interpretations of analogue models. Furthermore, we apply these four components to laboratory-based subduction models and describe some of the issues at hand with modelling such systems. Over the last 200 years, a wide variety of analogue materials have been used with different rheologies, including viscous materials (e.g. syrups, silicones, water), brittle materials (e.g. granular materials such as sand, microspheres and sugar), plastic materials (e.g. plasticine), viscoplastic materials (e.g. paraffin, waxes, petrolatum) and visco-elasto-plastic materials (e.g. hydrocarbon compounds and gelatins). These materials have been used in many different set-ups to study processes from the microscale, such as porphyroclast rotation, to the mantle scale, such as subduction and mantle convection. Despite the wide variety of modelling materials and great diversity in model set-ups and processes investigated, all laboratory experiments can be classified into one of three different categories based on three fundamental modelling approaches that have been used in analogue modelling: (1) The external approach, (2) the combined (external + internal) approach, and (3) the internal approach. In the external approach and combined approach, energy is added to the experimental system through the external application of a velocity, temperature gradient or a material influx (or a combination thereof), and so the system is open. In the external approach, all deformation in the system is driven by the externally imposed condition, while in the combined approach, part of the deformation is driven by buoyancy forces internal to the system. In the internal approach, all deformation is driven by buoyancy forces internal to the system and so the system is closed and no energy is added during an experimental run. In the combined approach, the externally imposed force or added energy is generally not quantified nor compared to the internal buoyancy force or potential energy of the system, and so it is not known if these experiments are properly scaled with respect to nature. The scaling theory requires that analogue models are geometrically, kinematically and dynamically similar to the natural prototype. Direct scaling of topography in laboratory models indicates that it is often significantly exaggerated. This can be ascribed to (1) The lack of isostatic compensation, which causes topography to be too high.(2) The lack of erosion, which causes topography to be too high....

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Section: Materials With Linear Viscous Non-linear Viscous Visco-plamentioning

confidence: 99%

A review of analogue modelling of geodynamic processes: Approaches, scaling, materials and quantification, with an application to subduction experiments

Schellart

Strak

2016

Journal of Geodynamics

126

105

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“…For quite strongly shear-thinning fluids like yieldstress fluids, there is still a debate on this subject, as exemplified by the different experimental results obtained recently by [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…Using stress-free boundary conditions at the horizontal walls, [15,16] showed that the effect of the nonlinearity in Eq. (8) is to change the bifurcation from supercritical to subcritical, if the fluid is sufficiently shear-thinning, as it will be precised in Eq. (27).…”

Section: Introductionmentioning

confidence: 99%

Numerical study of subcritical Rayleigh–Bénard convection rolls in strongly shear-thinning Carreau fluids

Jenny

Plaut

Briard

2015

Journal of Non-Newtonian Fluid Mechanics

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“…Finally, a number of authors have recently studied the onset of natural convection experimentally using solutions of Carbopol (e.g. Darbouli et al 2013;Davaille et al 2013;Kebiche, Castelain & Burghelea 2014). …”

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confidence: 99%

A novel heat transfer switch using the yield stress

2015

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International audienceWe explore the feasibility of a novel method for the regulation of heat transfer across a cavity, by using a controllable yield stress in order to suppress the convective heattransfer. Practically, this type of control can be actuated with electro-rheological ormagneto-rheological fluids. We demonstrate that above a given critical yield stressvalue only static steady regimes are possible, i.e. a purely conductive unyielded fluidfills the cavity. We show that this limit is governed by a balance of yield stressand buoyancy stresses, here described by B. With proper formulation the criticalstate can be described as a function of the domain geometry, and is independent ofother dimensionless flow parameters (Rayleigh number, Ra, and Prandtl number, Pr).On the theoretical side, we examine the conditional stability of the static regime.We derive conservative conditions on disturbance energy to ensure that perturbationsfrom a static regime decay to zero. Assuming stability, we show that the kineticenergy of the perturbed field decays to zero in a finite time, and give estimatesfor the stopping time, t0. This allows us to predict the response of the system insuppressing advective heat transfer. The unconditional stability is also considered forthe first time, illustrating the role of yield stress. We focus on the hydrodynamiccharacteristics of Bingham fluids in transition between conductive and convectivelimits. We use computational simulations to resolve the Navier–Stokes and energyequations for different yield stresses, and for different imposed controls. We showthat depending on the initial conditions, a yield stress less than the critical value canresult in temporary arrest of the flow. The temperature then develops conductivelyuntil the fluid yields and the flow restarts. We provide estimates of the hydrodynamictimescales of the problem and examples of flow transitions. In total, the theoreticaland computational results establish that this methodology is feasible as a control, atleast from a hydrodynamic perspective

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Experimental investigation of the Rayleigh–Bénard convection in a yield stress fluid

Cited by 58 publications

References 40 publications

A review of analogue modelling of geodynamic processes: Approaches, scaling, materials and quantification, with an application to subduction experiments

A review of analogue modelling of geodynamic processes: Approaches, scaling, materials and quantification, with an application to subduction experiments

Numerical study of subcritical Rayleigh–Bénard convection rolls in strongly shear-thinning Carreau fluids

A novel heat transfer switch using the yield stress

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