Molecular Modeling of Fluid Mechanics

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SUMMARY

The discussion centers on molecular modeling of fluid mechanics, specifically examining the surface charge model and the potential at a distance model. The surface charge model utilizes the COSMO database to average molecular charge and apply Maxwell's equations for potential distribution in fluids. In contrast, the potential at a distance model calculates multipoles of atoms in a dielectric medium, presenting a more elegant approach. The conversation aims to explore the development of a fundamental model of fluid mechanics, referencing the Rayleigh-Plesset equations and their historical significance.

PREREQUISITES
  • Understanding of classical fluid mechanics principles
  • Familiarity with Maxwell's equations
  • Knowledge of molecular charge distribution and COSMO database
  • Basic concepts of multipole expansion in dielectric media
NEXT STEPS
  • Research the Rayleigh-Plesset equations and their applications in fluid dynamics
  • Explore the COSMO database for molecular charge modeling techniques
  • Study the principles of multipole expansion in dielectric materials
  • Investigate experimental evidence related to superfluid phenomena and Bose-Einstein condensates
USEFUL FOR

Researchers, physicists, and engineers interested in advanced fluid mechanics, molecular modeling, and the intersection of quantum effects in fluid dynamics.

Ben Johnson
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As I've been reading up on fluid mechanics recently, I've discovered several different molecular models which attempt to explain heterogeneous fluid flow from a molecular level. Classical fluid mechanics assumes that hard body approximation- that atoms are hard spheres knocking into each other. In dense fluids, however, the atoms would be close enough that we cannot ignore quantum effects from overlapping charge clouds.

The two models I stumbled across are the surface charge model and the potential at a distance model. There is a database (COSMO) that averages the charge in a molecule and converts it to a surface charge on a solid conductor. Using Maxwell equations this model could describe the potential distribution within a bounded region of fluid.

This model is not simple, and therefore I suspect that there is a more fundamental model which is simpler and more accurate.

The other model I read about was the potential at a distance model. To make a heterogenous fluid, superimpose different atoms in a dielectric medium and calculate the multipoles of each atom. This model seems more elegant, and I would love to compare it against empiracle evidence.Anyhow you can skip to here if you don't want to read.
I want to start a conversation about building a fundamental model of fluid mechanics using everything we have learned in the past 100 years. The Rayleigh-Plesset equations are still prevalent, and Lord Rayleigh died in 1919.

Post your thoughts, whatever they may be.
 
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My thoughts : I think you may have picked the wrong section for this post (not sure which one is best though, perhaps "General physics" if nothing matches better ? )

- from the top thread in this section :
Please note that this forum deals with topic related to theories beyond the Standard Model of elementary particle physics. It includes String, Superstring, Supersymmetry, Quantum Gravity, etc.
 
The closest we have is the Boltzmann equations. There are some experiments going on in superfluids for things like bose-Einstein condensates. (There can only be an integer number of vortices, for instance)
 

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