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Stable and unstable fall motions of plate-like ice crystal analogues

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Stable and unstable fall motions of plate-like ice crystal analogues
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CC Attribution 4.0 International:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Production Year2024
Production PlaceReading, UK

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Stable and unstable fall motions of plate-like ice crystal analogues, Atmospheric Chemistry and Physics, Copernicus Publications Jennifer R. Stout, Christopher D. Westbrook, Thorwald H. M. Stein, and Mark W. McCorquodale The orientation of ice crystals affects their microphysical behaviour, growth, and precipitation. Orientation also affects interaction with electromagnetic radiation, and through this, influences remote sensing signals, in-situ observations, and optical effects. Fall behaviours of a variety of 3D-printed plate-like ice crystal analogues in a tank of water-glycerine mixture are observed with multi-view cameras and digitally reconstructed to simulate falling of ice crystals in the atmosphere. Four main falling regimes were observed: stable, zigzag, transitional, and spiralling. Stable motion is characterised by no resolvable fluctuations in velocity or orientation, with the maximum dimension oriented horizontally. The zigzagging regime is characterised by a back-and-forth swing in a constant vertical plane, corresponding to a time series of inclination angle approximated by a rectified sine wave. In the spiralling regime, analogues consistently incline at an angle between 7 and 28 degrees, depending on particle shape. Transitional behaviour exhibits motion in between spiral and zigzag, similar to that of a falling spherical pendulum. The inclination angles that unstable planar ice crystals make with the horizontal plane are found to have a non-zero mode. This observed behaviour does not fit the commonly-used Gaussian model of inclination angle. The typical Reynolds number when oscillations start is strongly dependent on shape: solid hexagonal plates begin to oscillate at Re = 237, whereas several dendritic shapes remain stable throughout all experiments, even at Re > 1000. These results should be considered within remote sensing applications wherein the orientation characteristics of ice crystals are used to retrieve their properties.
Keywords
SatellitePhotographic plateSemi-solid metal castingHalo (optical phenomenon)SnowSizingMapTypesettingWater vaporSignal (electrical engineering)CrystallizationSun dogVisible spectrumParticleCogenerationVertical integrationIcePrecipitation (meteorology)Aspect ratio (wing)Stellar atmosphereContactorRemote controlModel buildingEffects unitOpticsKoch snowflakeQuantum fluctuationSatelliteSpiral galaxyFahrgeschwindigkeitComputer animationDiagram
Transcript: English(auto-generated)
Most precipitation on Earth begins its life as ice crystals in the upper atmosphere. As ice crystals fall through the air, they grow into a wide variety of intricate shapes.
As they grow, they pick up speed and exhibit fluttering, tumbling and spiralling motions depending on their shape and size. These motions further influence their growth, full speed and eventually the rate of snowfall. The orientation of ice crystals influences how they interact with light. When ice crystals are in certain orientations, optical effects such as ice halos and sun
dogs occur. Ice crystal orientation also influences remote sensing signals such as radar, lidar and satellite. We investigated the motion of 10 ice crystal shapes with a variety of sizes and aspect ratios by 3D printing them and dropping them in a tank of water glycerin solutions.
By filming them with three cameras, we were able to reconstruct their trajectories and orientations, allowing us to analyse the way that they fall under different conditions. So, what did we observe? Types of motion observed in this study can be put into categories. The first of which is stable motion, where particles fall horizontally, with their maximum
dimension in the horizontal, and we observe no fluctuations in velocity or orientation. The next type of motion is zigzagging, where particles swing back and forth. The motion is sinusoidal, spending more time at the top of the swing than in the centre, moving like a pendulum.
Another type of motion is spiralling. These particles never orient themselves horizontally and instead stay consistently inclined, tracing out a helix as they fall, instead of swinging back and forth.
We also observed a whole spectrum of behaviour in between zigzagging and spiralling, which we refer to as transitional behaviour. Transitional particles swing back and forth, but also rotate around the vertical axis, like spiralling particles do. We found that all of our unstable particles fell into these categories of behaviour, and
that these unstable particles spend most of their time inclined. This contrasts previous assumptions that the most common orientation for unstable particles is horizontal. We also found that the falling behaviour of ice crystals depends upon their shape, size, and the environment in which they fall. For example, as snowflakes fall, they grow, and as they grow, they fall faster, and their
Reynolds number increases, making them more likely to fall unsteadily. Under the same conditions, complex crystals such as dendrites were found to be more likely to be stable than simple plates. Several of our dendrite shapes remain stable throughout all experiments, even at Reynolds numbers higher than 1000.
This new information could be used to help improve models of crystal orientation for remote sensing, or help us understand how and when optical phenomena form. For more details, please have a read of our paper, and contact us if you have any thoughts. Thank you.