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- Title
Stochastic Model of a Granular Bed Splash.
- Authors
Łagodowski, Z. A.; Gregosiewicz, A.
- Abstract
Our study aims to shed light on the physics behind the splash phenomenon caused by droplet impact onto a granular bed and to develop a reliable tool for predicting erosion and sediment transport in various natural and industrial settings. To achieve this, we construct a probabilistic model (based on simple physical assumptions) of particle splash resulting from the impact of a liquid droplet or solid intruder on a granular bed. The model is based on integer partition and provides a probability distribution of the number of ejected particles to arbitrary areas around the point of impact. We validate the model's predictions with experimental data to ensure its accuracy and reliability. Plain Language Summary: Our research focuses on understanding what happens when a droplet of liquid or a solid object hits a surface made up of lots of small particles. We want to know how it causes those particles to splash and move around, so we have created a mathematical model that can predict how many particles will be thrown out from the impact and where they will go. By doing this, we can develop a better understanding of how sediment moves in different natural and industrial settings. Key Points: Stochastic model of the effect of splash of a granular bed is introducedThe model provides a comprehensive description of the number of splashed particles in any subareas around the impact pointConstructed distribution satisfactorily fits to the empirical one
- Subjects
STOCHASTIC models; DISTRIBUTION (Probability theory); EROSION; SEDIMENT transport; MATHEMATICAL models; PREDICTION models; FREIGHT trucking
- Publication
Journal of Geophysical Research. Earth Surface, 2023, Vol 128, Issue 10, p1
- ISSN
2169-9003
- Publication type
Article
- DOI
10.1029/2023JF007218