Particle Velocity and adiabatic/isothermal propagation

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SUMMARY

The discussion focuses on the effects of transitioning sound propagation in air from an adiabatic process to an isothermal process, particularly regarding particle velocity. It is established that while the wave velocity decreases due to a reduction in the bulk modulus of air, the particle velocity remains largely independent of this transition, as it is primarily influenced by temperature. In an isothermal process, particle speeds remain constant, whereas in an adiabatic process, particle speeds oscillate due to pressure-induced temperature changes, contingent upon maintaining thermal equilibrium at lower frequencies.

PREREQUISITES
  • Understanding of sound propagation principles
  • Knowledge of adiabatic and isothermal processes
  • Familiarity with bulk modulus in gases
  • Basic thermodynamics related to gas behavior
NEXT STEPS
  • Research the impact of bulk modulus on sound velocity in gases
  • Explore the relationship between temperature and particle velocity in isothermal processes
  • Investigate the conditions for thermal equilibrium in sound propagation
  • Examine the frequency thresholds for adiabatic versus isothermal transitions
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Physicists, acoustics engineers, and students studying thermodynamics and sound propagation dynamics.

michaelpos
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This is a question that has been bugging me for a little while. If sound propagation in air changes from an adiabatic to an isothermal process (for example via the use of fiberglass or other heat conducting material), the wave velocity is lowered due to the reduction in the bulk modulus of air. My question is: is the particle velocity also effected by the change from adiabatic to isothermal process, or is the particle velocity independent of this?
 
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If the gas is in equilibrium, the particle speeds depend only on the temperature; so in a isothermal process they should be unchanged. If the propagation is adiabatic, the pressure changes of the sound waves will cause temperature changes in the gas, and as a result the mean speeds will oscillate--provided that the frequency of the sound is low enough for thermal equilibrium to be maintained. (I don't know how low is "low enough". )
 

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