How does relative permittivity and permeability of warm water differ from cold? Is it higher or lower?

Question

I'm trying to figure out the resonant frequency of an ultrasonic cleaning tank. Also with a known permeability and permittivity, how would one go about calculating what the resonant frequency would be?

Answer 1

http://www.newton.dep.anl.gov/askasci/ph...

Ultrasonic cleaning involves the use of high-frequency sound waves (above the upper range of human hearing, or about 18 kHz) to remove a variety of contaminants from parts immersed in aqueous media. The contamination can be dirt, oil, grease, buffing/polishing compounds and mold release agents, just to name a few. Materials that can be cleaned include metals, glass, ceramics and so on. Ultrasonic agitation can be used with a variety of cleaning agents.

Permittivity:  An electric field causes some materials to polarize.

Negative charges move toward one side and positive charges move toward the

other.  These produce an electric field that opposes the original field.

http://www.tmasc.com/ultrasonic_cleaning...

This then reduces the total electric field within the material.  Materials

in which this does not happen have the permittivity of free space.  In a

material that ends up with a total field half that of the original field has

a twice the permittivity of free space.  Permittivity can often be easily

measured with a capacitor.

Permeability:  A magnetic field will cause a magnet to align with it.  The

magnetic field within the magnet is thus greater than the original field.

Most materials have atoms with some magnetic properties.  The three general

classes of material are paramagnetic, ferromagnetic, and diamagnetic.  In

the first two, magnetic field within the material is greater than the

original field.  In a diamagnetic material, the reverse is true.  A material

with no magnetic properties has a permeability of free space.  Paramagnetic

and ferromagnetic materials have permeability greater than that of free space.  Permeability is less for diamagnetic materials.  Permeability, however, is seldom shifted from that of free space by more than 0.10%.

Compared to permittivity, permeability has very little variance from material to material.

The resonance frequency of the tank depends on the dimensions of the tank and standing waves.

http://article.pubs.nrc-cnrc.gc.ca/ppv/R...

http://www.lsbu.ac.uk/water/sitemap.html

http://scitation.aip.org/getabs/servlet/...

http://www.pfonline.com/articles/040003....

http://www.justclicklocal.com/local.php?...

Answer 2

The resonant frequency of an ultrasonic cleaning tank is not affected by either permeability of permittivity. It is a mechanical resonance, not an electrical one. It is affected by density and modulus.