How to calculate viscous damping properties of air in loudspeaker design

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SUMMARY

The discussion focuses on calculating viscous damping properties of air in loudspeaker design, emphasizing the importance of achieving a critically damped alignment. Key factors include electrical resistance, magnetic field strength, mechanical resistance, mechanical compliance, and the mass of the diaphragm and acoustic load. While electrical resistance and mass are straightforward to calculate, mechanical resistance and compliance, particularly of the air within an acoustic suspension enclosure, present challenges. The conversation highlights that air viscosity is negligible in typical loudspeaker applications, suggesting that complexity in modeling may not yield practical benefits.

PREREQUISITES
  • Understanding of loudspeaker design principles
  • Familiarity with acoustic suspension systems
  • Knowledge of the ideal gas law (PV=nRT)
  • Basic concepts of mechanical resistance and compliance
NEXT STEPS
  • Research methods for calculating mechanical compliance in loudspeakers
  • Explore the impact of air viscosity on acoustic performance
  • Learn about critically damped systems in audio engineering
  • Investigate practical applications of acoustic treatment in studio design
USEFUL FOR

Audio engineers, loudspeaker designers, acousticians, and anyone interested in optimizing loudspeaker performance through understanding damping properties.

thadman
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In the design of a loudspeaker, one intuitively seeks a critically damped alignment. We must consider the electrical resistance of the coil, magnetic field strength, mechanical resistance, mechanical compliance, and mass (diaphragm + acoustic load) of the system.

The electrical resistance, magnetic field strength, and mass of the system are easy to calculate and verify. The mechanical resistance and compliance are more difficult.

If the design uses an acoustic suspension (ie enclosure), we must consider the compliance and resistance of the air within the enclosure.

I believe the linearity of the compliance of the air can be calculated from the derivative of PV=nRT.

However, I'm unsure how to calculate the resistance (viscous damping, correct me if I'm wrong) of the air within the enclosure.

Thanks,
Thadman
 
Last edited:
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Simple - ignore it.

Air viscosity is zero unless you're dealign with very small apertures.

If viscosity of Air was significant it wouldn't cost thousands of dollars to treat studios with acoustical foam.

You know you can always make theory more and more complex and accurate. You can model the motion of every subatomic particle in your loudspeaker - but why ?

Listen to Geddes - there are plenty of real problems to solve before you start inventing ones to keep yourself busy.
 
Last edited:

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