Measuring interfacial tension using electrostatic oscillations
View Patent ↗An exemplary embodiment of an interfacial tension measurement system of the present disclosure is one in which Faraday waves or instability are formed within a vessel of fluids to be tested via electrostatic oscillations. Then, by tracking the amplitude of an applied electrical voltage having an AC harmonic load to the mixture of fluids that result in a Faraday instability, as well as the wavelength of the instability, the interfacial tension measurement system determines the interfacial tension between layers of immiscible liquids present in the vessel.
1. An interfacial tension measurement system comprising:
a vessel adapted to hold multiple immiscible liquids;
a first electrode positioned at a top of the vessel;
a second electrode positioned at a bottom of the vessel;
a voltage source connected between the first electrode and the second electrode, the voltage source configured to supply an AC harmonic load at a fixed frequency between the first and second electrodes thereby supplying an electrostatic oscillation within the immiscible liquids of the vessel from the first electrode to the bottom electrode;
a camera positioned above the vessel and configured to capture at least one image of a Faraday instability at an interface between the immiscible liquids, wherein the image comprises a pattern shape indicating a wavelength of the Faraday instability; and
a controller computing device configured to increase an amplitude of the AC harmonic load supplied by the voltage source, the controller computing device further configured to detect the amplitude of the AC harmonic load at an onset of the Faraday instability and determine a measurement of the interfacial tension between the immiscible liquids based on the amplitude of the AC harmonic load and the wavelength of the Faraday instability at the onset of the Faraday instability and the fixed frequency of the AC harmonic load.
2. The system of claim 1 , wherein the vessel comprises a crucible positioned within a furnace.
3. The system of claim 1 , wherein the controller computing device is configured to compute an interfacial tension measurement value that results in a theoretical critical amplitude value for the electrostatic oscillation that matches the amplitude of the AC harmonic load at the onset of the Faraday instability.
4. An interfacial tension measurement method comprising:
passing an electrostatic oscillation at a fixed frequency vertically through a vessel holding multiple immiscible liquids;
increasing an amplitude of the electrostatic oscillation as the electrostatic oscillation passes through the immiscible liquids;
recording a critical amplitude value of the electrostatic oscillation at an onset of a Faraday instability that is forced by the electrostatic oscillation to a data storage medium;
measuring and recording a wavelength of the Faraday instability to a data storage medium;
determining a measurement of interfacial tension between the immiscible liquids based on the recorded critical amplitude value, wavelength, and the fixed frequency; and
outputting the measurement of the interfacial tension on a display.
5. The method of claim 4 , further comprising capturing at least one image of the Faraday instability, wherein the capture of the at least one image of the Faraday instability provides for detection of the Faraday instability.
6. The method of claim 4 , further comprising after determining the critical amplitude value at the fixed frequency, changing a frequency of the electrostatic oscillation to a new fixed frequency; and re-determining a value of the critical amplitude at the new fixed frequency.
7. The method of claim 6 , further comprising graphically plotting critical amplitude values at a plurality of fixed frequencies of the electrostatic oscillation.
8. The method of claim 7 , further comprising comparing a plot of the critical amplitude values with at least one plot of theoretical values for the critical amplitude.
9. The method of claim 8 , wherein the comparison is made by superimposing the plot of critical amplitude values on plots of theoretical values for the critical amplitude with various input interfacial tensions,
wherein determination of the measurement of interfacial tension is made by selecting the theoretical plot which most closely matches the plot of critical amplitude values, thus determining the correct interfacial tension.
10. The method of claim 4 , wherein the electrostatic oscillation is supplied by a voltage source generating an AC harmonic load that is connected to a pair of electrodes that are positioned above and below the vessel.
11. The method of claim 4 , further comprising computing an interfacial tension measurement value that results in a theoretical critical amplitude value for the electrostatic oscillation that matches the critical amplitude value of the electrostatic oscillation at the onset of the Faraday instability.