How to calculate viscous damping properties of air in loudspeaker design

In summary, the design of a loudspeaker requires consideration of various factors such as electrical resistance, magnetic field strength, mechanical resistance, compliance, and mass. Calculating and verifying the electrical resistance, magnetic field strength, and mass is relatively easy, but determining the mechanical resistance and compliance can be more difficult. If the design uses an acoustic suspension, the compliance and resistance of the air within the enclosure must also be taken into account. While the linearity of the air's compliance can be calculated using the derivative of PV=nRT, the calculation of air resistance (viscous damping) is less clear. However, in practical applications, the impact of air viscosity is minimal. Ultimately, it is important to focus on solving real problems rather than getting
  • #1
thadman
27
0
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:
Engineering news on Phys.org
  • #2
Is this the wrong section?
 
  • #3
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:

Related to How to calculate viscous damping properties of air in loudspeaker design

1. What is viscous damping in relation to loudspeaker design?

Viscous damping is a measure of how much energy is dissipated in a loudspeaker's air column as it moves back and forth. It is caused by the resistance of air molecules to movement and can affect the performance and sound quality of a loudspeaker.

2. How do you calculate the viscous damping properties of air?

The viscous damping properties of air can be calculated using the equation: ζ = c/ω, where ζ is the damping ratio, c is the damping coefficient, and ω is the angular frequency. The damping coefficient can be determined experimentally or through simulations using computational fluid dynamics (CFD) software.

3. What factors affect the viscous damping properties of air in loudspeaker design?

The viscosity of air, the size and shape of the loudspeaker's air column, and the speed and frequency of the air movement are all factors that can affect the viscous damping properties of air in loudspeaker design. Other factors such as temperature and humidity can also play a role.

4. How does the viscous damping affect the performance of a loudspeaker?

The viscous damping of air can have both positive and negative effects on the performance of a loudspeaker. On one hand, it can help to reduce unwanted resonances and improve frequency response. On the other hand, it can also cause energy losses and limit the loudspeaker's maximum output level.

5. Can the viscous damping properties of air be adjusted in loudspeaker design?

Yes, the viscous damping properties of air can be adjusted in loudspeaker design through various techniques such as changing the shape or size of the air column, adding damping materials, or using different materials with varying densities. However, it is important to carefully consider the trade-offs and potential impact on sound quality before making any changes.

Similar threads

Replies
5
Views
14K
  • Mechanical Engineering
Replies
3
Views
2K
Replies
4
Views
392
  • Mechanical Engineering
Replies
26
Views
2K
Replies
1
Views
658
  • Mechanical Engineering
Replies
20
Views
7K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
Replies
12
Views
5K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
13
Views
4K
Back
Top