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

In summary, the conversation discusses the establishment of a non-inertial frame of reference for a quasi-rigid rotating convective cell and the use of a Maxwell-Boltzmann distribution to characterize the particle velocities in this system. However, the question arises about the temperature function in a system of gases with varying fluid rotations and sizes, observed from an inertial frame. It is also questioned whether the particle velocities in a tornado deviate from the Maxwell-Boltzmann distribution and if there are numerical parameters that can quantify this deviation for calculations in non-equilibrium thermodynamics.
  • #1
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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  • #2
Hello again!

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-Boltzman characteristics for certain kinds of calculations in non-equilibrium thermodynamics?
 

1. What is the velocity distribution of particles in a rotating gas?

The velocity distribution of particles in a rotating gas describes the distribution of the speeds and directions of the particles within the gas. This distribution is influenced by the rotation of the gas and can be described using statistical mechanics and fluid dynamics.

2. How does the velocity distribution change in an arbitrary arrangement of rotating gases?

The velocity distribution in an arbitrary arrangement of rotating gases can be affected by several factors, such as the geometry of the gas, the strength of the rotation, and the interactions between particles. These factors can result in variations in the velocity distribution, making it more complex than in a simple rotating gas system.

3. What is the Maxwell-Boltzmann velocity distribution?

The Maxwell-Boltzmann velocity distribution is a probability distribution that describes the speeds of particles in a gas at a given temperature. It is a key concept in statistical mechanics and is used to calculate the average speed and other properties of particles in a gas.

4. How is the velocity distribution related to temperature in a rotating gas?

In a rotating gas, the velocity distribution is affected by both temperature and rotation. As the temperature increases, the average speed of particles also increases, resulting in a wider velocity distribution. The rotation of the gas can also influence the shape of the distribution, making it more asymmetric.

5. Can the velocity distribution of particles in a rotating gas be measured?

Yes, the velocity distribution of particles in a rotating gas can be measured using various experimental techniques such as laser-induced fluorescence, particle tracking, and spectroscopy. These methods allow for the determination of the speed and direction of individual particles, which can then be used to construct the velocity distribution.

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