Experimental study of cell pattern formation induced by internal heat sources in a horizontal fluid layer

Takahashi, Jumpei; Tasaka, Yuji; Murai, Yuichi; Takeda, Yasushi; Yanagisawa, Takatoshi

doi:10.1016/j.ijheatmasstransfer.2009.11.048

Cited by 17 publications

(8 citation statements)

References 20 publications

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“…Three different patterns can be defined using either method. For Ra H < 10 5 a steady spoke-like pattern is found, in agreement with previous studies (Ichikawa et al 2006;Takahashi et al 2010). For Ra H > 10 6 the pattern is time-dependent and involves numerous isolated plume-like downwellings.…”

Section: Numerical Simulationssupporting

confidence: 92%

“…Numerical calculations are only available for free surface boundary conditions in the limit of infinite Prandtl number (Parmentier, Sotin & Travis 1994;Grasset & Parmentier 1998;Sotin & Labrosse 1999;Parmentier & Sotin 2000) and there have been very few laboratory experiments owing to difficulties in controlling the distribution of the volumetric heating rate in a large volume. Most of these experiments aimed at documenting the planform of convection (Tritton & Zarraga 1967;Schwiderski & Schwab 1971;Kulacki & Goldstein 1972;Tasaka et al 2005;Takahashi et al 2010) and only one of them involved temperature and heat flux measurements (Kulacki & Nagle 1975). That latter study was conducted in water, a fluid with a Prandtl number of order 1, with a very small number of temperature probes.…”

Section: Introductionmentioning

confidence: 99%

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Microwave-heating laboratory experiments for planetary mantle convection

et al. 2015

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International audienceThermal evolution of telluric planets is mainly controlled by secular cooling and internal heating due to the decay of radioactive isotopes, two processes that are equivalent from the standpoint of convection dynamics. In a fluid cooled from above and volumetrically heated, convection is dominated by instabilities of the top boundary layer and the interior thermal structure is non-isentropic. Here we present innovative laboratory experiments where microwave radiation is used to generate uniform internal heat in fluids at high Prandtl number (>300) and high Rayleigh–Roberts number (ranging from 104 to 107), appropriate for planetary mantle convection. Non-invasive techniques are employed to determine both temperature and velocity fields. We successfully validate the experimental results by conducting numerical simulations in three-dimensional Cartesian geometry that reproduce the experimental conditions. Scaling laws relating key characteristics of the thermal boundary layer, namely its thickness and temperature drop, to the Rayleigh–Roberts number have been established for both rigid and free-slip boundary conditions. A robust conclusion is that for rigid boundary conditions the internal temperature is significantly higher than for free-slip boundary conditions. Our scaling laws, coupled with plausible physical parameters entering the Rayleigh–Roberts number, enable us to calculate the mantle potential temperature for the Earth and Venus, two telluric planets with different mechanical boundary conditions at their surface

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Section: Numerical Simulationssupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Microwave-heating laboratory experiments for planetary mantle convection

et al. 2015

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“…The internally heated configuration we call IH3, which is bounded above by a perfect conductor and below by a perfect insulator, has been the subject of numerous laboratory experiments [142,119,33,43,108,86,83,107,137,88,136], as well as computational studies both in 2D [139,95,39,67] and in 3D [139,144,61,116,65,17,16]. Many of these investigations have focused on pattern formation and scale selection, which we do not discuss here.…”

Section: The Ih3 Configurationmentioning

confidence: 99%

Internally Heated Convection and Rayleigh-Bénard Convection

Goluskin¹

2016

SpringerBriefs in Applied Sciences and Technology

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PrefaceThe purpose of this SpringerBrief is to review heat transfer in layers of convective fluid. Six different configurations are considered-three that are versions of Rayleigh-Bénard (RB) convection, which is driven by differential heating at the boundaries, and three that are driven by uniform internal heating. The essential features of all six models are derived mathematically. The experimental literature is reviewed in depth for the models of internally heated (IH) convection, which are much less studied than their RB counterparts. Experiments on RB convection are treated in less depth, as they have been thoroughly reviewed elsewhere.Along with placing the various convective models within a conceptual framework that brings out their similarities, we give some minor results not published elsewhere. For instance, a few of the linear instability and energy stability thresholds given in tables 2.2 and 2.3 either have not been reported before or have been reported with less precision. One of the bounds proven in §2.3 is also new, as are the visualizations of simulations included as figure 1.2.Chapter 1 provides background and then defines the six configurations under study, the governing equations of our models, and their basic features. Chapter 2 presents results that can be derived mathematically from the governing equations: linear and nonlinear stability thresholds of static states, along with proven bounds on mean temperatures and heat fluxes. For the IH cases only, chapter 3 gives a quantitative survey of heat transport in both laboratory experiments and numerical simulations, followed by suggestions for future work.

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“…A similar technique was reported by our group for a planar PIV applied for 3D thermal convection in a thin layer (Takahashi et al 2010). For the error level of w, we estimate it to be 20% in maximum case, judged from a preliminary experiment.…”

Section:   mentioning

confidence: 91%

Quantitative visualization of vortex ring structure during wall impingement subject to background rotation

Oishi

Murai

Tasaka

2019

J Vis

Self Cite

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A single vortex ring subject to background rotation in the process of wall-impingement has been experimentally investigated by particle tracking velocimetry (PTV). Two parameter conditions of Reynolds and Rossby number were chosen in addition to stationary environment as much strong and competitive Coriolis force emerges in comparison with inertia induced by vortex rings. From horizontal PTV windows set on the rotating experimental frame above the bottom wall, comprehensive influences of Coriolis force on the wall-impinging reaction are visualized as space-time three-dimensional vorticity distributions. Against natural growth of azimuthal waves due to Widnall instability, wall-impinging suppresses the waves and rather reorganizes original primary vortex because of cyclonic swirl coherently induced during impingement. This resists to turbulent collapse of vortex ring during the impingement, and self-boosts own life time. We try to explain the mechanism of such an anti-decaying process in the final part, untangling the phenomenon with best read from the space-time correlations among three vorticity components.

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Experimental study of cell pattern formation induced by internal heat sources in a horizontal fluid layer

Cited by 17 publications

References 20 publications

Microwave-heating laboratory experiments for planetary mantle convection

Microwave-heating laboratory experiments for planetary mantle convection

Internally Heated Convection and Rayleigh-Bénard Convection

Quantitative visualization of vortex ring structure during wall impingement subject to background rotation

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