Frequency of ultrasounds to obtain oil drops in water?

AI Thread Summary
The discussion revolves around determining the ultrasound frequency required to create microemulsions of oil in water, specifically targeting oil drops of 1 microgram with a density of 0.995 g/cm³. The user expresses confusion about the underlying physical principles, considering diffraction, resonance, and stationary waves. They calculate the frequency using the speed of sound in water and the volume of spherical drops, arriving at an approximate frequency of 115,384.6 Hz. The user seeks validation of this approach and any additional insights before submitting their work. Overall, the thread highlights the challenges in applying physics concepts to practical problems in emulsification.
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¿Frequency of ultrasounds to obtain oil drops in water?

Homework Statement



To obtain microemulsions of oil into water ultrasounds are used. ¿What is the frequency to obtain oil drops of 1 microgram which density is 0.995 g/cm3? (It does not need to be exact, with only the order of magnitude is sufficient).

Homework Equations



Well, I don't know if it is a diffraction problem, or If I should use resonance , or stationary waves.

I am lost at this point, I don't know which physical principles rely behind this process of creating microemulsions.

The Attempt at a Solution



I am very sorry, but I don't understand the process.

Any idea to solve this will be well received.

I know that in physicsforums you should put the equations in the point 2, but I don't know what is the exact process.

Thanks in advance.
 
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I have had an idea, I now what is the mass of the drops of oil, and the density so:

Volum=density/mass

I suppose that the drops are spherical, so they have a volum of 4/3*pi*r^3.

Finally I use:

V=\lambda / T

Where V is the speed of sound under water.

\lambda Is the wavelenght of the wave.

T is the period, or the inverse of the frequency.

So, using V=1500 m/s and a size of 0.013 meters I obtain:

Frequency \approx 115384.6 HerzsSo I suppose that the interference pattern of the emitted wave will create oil drops of the size of the wavelenght, logically it is an approximation, I only need to know the order of magnitude of the frequency.

¿Do you think that this is correct?.o:)
 


I should give this to my teacher on wednesday, soy please ¿do you have any idea about this?.
 
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