Velocity distribution of particles in an arbitrary-arrangement of rotating gases

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SUMMARY

The discussion focuses on the velocity distribution of particles in rotating gases, specifically within a "quasi-rigid" rotating convective cell. It establishes that in a co-rotating non-inertial frame, particles may follow a Maxwell-Boltzmann distribution. However, when evaluating gases with arbitrary rotational axes and speeds from an inertial frame, the particle velocities may deviate from this distribution. The conversation also raises questions about the impact of increasing speed and rotational rate in tornadoes on particle velocity distribution and seeks numerical parameters for characterizing deviations from Maxwell-Boltzmann characteristics in non-equilibrium thermodynamics.

PREREQUISITES
  • Understanding of Maxwell-Boltzmann distribution
  • Familiarity with non-inertial reference frames
  • Knowledge of non-equilibrium thermodynamics
  • Concepts of fluid dynamics and rotational motion
NEXT STEPS
  • Research the implications of non-inertial frames in fluid dynamics
  • Study the characteristics of particle velocity distributions in turbulent flows
  • Explore numerical methods for analyzing deviations from Maxwell-Boltzmann distribution
  • Investigate the effects of rotational speed on gas behavior in tornadoes
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Physicists, fluid dynamicists, and researchers in non-equilibrium thermodynamics who are analyzing particle behavior in rotating gas systems.

kmarinas86
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If we have a "quasi-rigid" rotating convective cell where the gas overall rotates at the same angular velocity, we could establish a non-inertial frame of reference co-rotating with this convective cell such that the particles of the gas (seen from that frame of reference) may follow a Maxwell-Boltzmann distribution.

But with what statistical distribution may we characterize the temperature function of a system of gases whose fluid rotations occur around various arbitrary axes and speeds with cells of a varying size, evaluated from an inertial, observing frame? In this case, the particle velocities may or may not follow a Maxwell-Boltzmann distribution.
 
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Will air flowing into a tornado have particle velocity distribution that deviates from the Maxwell-Boltzmann distribution as that tornado increases in speed and rotational rate? Are there any numerical parameters that can be used to usefully characterize the amount of this deviance from Maxwell-Boltzmann characteristics for certain kinds of calculations in non-equilibrium thermodynamics?
 

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