Impulsive force during collision between solid and liquid

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SUMMARY

This discussion focuses on modeling the impact between a solid and a liquid as a 1D elastic collision, emphasizing the conservation of kinetic energy (KE) and momentum. The user seeks to accurately determine the collision time to calculate impulsive forces, initially estimating it at approximately 0.003 seconds using Hertzian correlations. The conversation highlights the inherent inelastic nature of solid-liquid collisions, questioning the validity of the elastic model due to the prolonged effects of liquid dynamics, such as surface ripples. Additionally, the role of buoyancy and surface tension in calculating collision forces is acknowledged as significant yet complex.

PREREQUISITES
  • Understanding of 1D elastic collision principles
  • Familiarity with conservation laws of kinetic energy and momentum
  • Knowledge of Hertzian contact mechanics
  • Basic concepts of fluid dynamics, particularly surface tension and buoyancy
NEXT STEPS
  • Research advanced fluid dynamics models for solid-liquid interactions
  • Study the effects of surface tension on collision dynamics
  • Explore numerical methods for simulating inelastic collisions
  • Investigate the application of computational fluid dynamics (CFD) in impact analysis
USEFUL FOR

Physicists, mechanical engineers, and students studying impact dynamics, particularly those interested in the interactions between solids and liquids in collision scenarios.

draaz1
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Homework Statement



I am trying to model an impact between a solid and a liquid as a 1D elastic collision where KE and momentum are conserved. Calculating the impulse is no problem. My problem in when I try to come up with an accurate collision time in order to calculate impulsive forces. Does anyone know of a reasonably accurate approach to find these forces.


Homework Equations



Conservation of KE, Conservation of Momentum, Herztian correlations for impacting solids, elastic coefficients of impacted materials.


The Attempt at a Solution



Use Hertzian correlations between two elastic solids to get an idea of the impact time (around .003s) for my initial conditions.
 
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Why do you think that it is reasonable to model a solid-liquid collision as elastic? Usually, such a collision is quite inelastic, since the configuration of the liquid doesn't even restore until many collision timescales later (e.g. the ripples in the surface of a pool will continue for several seconds or minutes, even though the tennis ball only makes contact with the surface of the water for less than a second).

The only idea that I have to theoretically determine the collision force is to consider bouyancy. However, I would expect that surface effects are also significant (e.g. surface tension), but I don't know how to deal with that.
 
I modeled the collision as elastic to be conservative because it would cause the maximum transfer of energy.
 

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