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Designing with Ferrofluids

Proper selection of a ferrofluid requires a careful balance of the properties of the ferrofluid vs. the properties of the loudspeaker. The five most important factors to consider are quantity, viscosity, magnetization, compatibility and volatility.

Quantity

The optimum quantity of ferrofluid for a loudspeaker is determined by the physical dimensions of the air gap and can be calculated with the use of the following formulae:

English
V [µl] = 56500 A (E²+C²-B²-D²)

(A, B, C, D in inches)
Metric
V [µl] = 3.5 A (E²+C²-B²-D²)

(A, B, C, D in mm)
where:
 A= Top plate thickness
 B= Radius of the center pole
 C= Inner radius of voice coil
 D= Outer radius of voice coil
 E= Inner radius top Pole plate
diagram

The recommended tolerance on ferrofluid quantity is ±10% which is best maintained through the use of a positive volume displacement dispenser. Maintaining the proper ferrofluid quantity is critical as overfilling the gap is wasteful and can lead to leakage while underfilling the gap minimizes the heat transfer benefits of the ferrofluid, compromises the fluid's long term reliability and can lead to response anomalies in the loudspeaker.

Viscosity

Once the ferrofluid amount has been determined, the viscosity of the ferrofluid should then be selected with respect to the desired amount of damping.

Magnetization

The magnetization value of the ferrofluid should be balanced against the loudspeakers air gap flux density and voice coil excursion.Tweeters or compression drivers having high air gap flux and minimal coil excursion require ferrofluid magnetization values in the 10-20 mT (100-200 gauss) range. Woofers, on the other hand, typically have much lower air gap flux and much greater coil excursion and require ferrofluid magnetization values in the 30-40 mT (300-400 gauss) range. High gauss ferrofluids generally have a shorter life at high temperatures. To ensure long term reliability, it is therefore recommended that only as much magnetic material as needed is used.

Compatibility

Successful ferrofluid application engineering requires that the ferrofluid be fully compatible with all the materials and adhesives which have the potential to come into contact with the ferrofluid including:

Avoiding fluid migration

Care should be taken to ensure that there are no capillary paths present by which the ferrofluid could migrate from the gap. The most common are:

Volatility

The thermal capacity of the ferrofluid should be chosen with respect to the operating temperatures of the voice coil. Moderate to low temperature operation requires our more standard products such as the APG 800 or APG 900 series Ferrofluids (hydrocarbon based materials) while more demanding high temperature applications should utilize the ester based APG "O" or "S" series or the hydrocarbon based APG 2100 series.

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