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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

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Published on: June 12, 2015

Concentration fluctuations in fluid mixtures. II.

Robert M Mazo¹, Enrico Matteoli, Paul E Smith

¹Department of Chemistry and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97405, USA. mazo@uoregon.edu

The Journal of Chemical Physics

|June 25, 2009

Summary

This study validates a method for analyzing fluctuations in multicomponent systems. The approximation is effective for binary mixtures but less so for ternary systems, with results correlating to molar volumes.

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Area of Science:

Physical Chemistry
Thermodynamics
Chemical Engineering

Background:

Understanding relative fluctuations in multicomponent systems is crucial for predicting thermodynamic behavior.
Previous work established a method for extracting fluctuation information from multicomponent systems.

Purpose of the Study:

To test the applicability and limitations of a previously developed method for analyzing relative fluctuations.
To evaluate the method's performance across various binary and ternary mixtures.
To compare predicted fluctuation ratios with molar volume ratios.

Main Methods:

Application of a previously developed analytical method to ten binary and one ternary system.
Analysis of the method's accuracy across different mole fraction ranges.
Comparison of predicted number fluctuation ratios with calculated molar volume ratios.

Main Results:

The approximation demonstrated good performance for binary systems with mole fractions between 0.15 and 0.85.
For the studied ternary system (chloroform-methanol-acetone), the method provided less information and was valid over a narrower range.
A strong correlation was observed between the predicted ratio of number fluctuations and the ratio of molar volumes.

Conclusions:

The fluctuation analysis method is reliable for binary systems within a specific composition range.
The method's utility is limited in ternary systems, requiring careful consideration of composition.
The ratio of number fluctuations is closely related to the ratio of molar volumes in these systems.