SPEED OF SHEAR WAVES AS A FUNCTION OF FREQUENCY IN MICELLAR FLUID

Author

Michael Basha, University of MississippiFollow

Date of Award

Spring 4-22-2025

Document Type

Undergraduate Thesis

Department

Physics and Astronomy

First Advisor

Cecille Labuda

Second Advisor

Joel Mobley

Third Advisor

Sasa Kocic

Relational Format

Thesis

Abstract

The purpose of this experiment was to investigate the frequency dependence of shear wave speed in a micellar fluid. A high-concentration CTAB-NaSal micellar fluid seeded with microspheres was used in the experiment. Shear waves were generated using a wave driver and a function generator, while a high-speed camera captured video recordings. Since the frequency of the wave driver producing the shear waves in the micellar fluid is a constant value set by the experimenter, changes in shear wave speed can be determined by measuring their wavelengths at different frequencies.The captured video was then broken down into frames using MATLAB. These frames were uploaded to ImageJ, where particles were tracked. Particles in phase with one another—meaning they reach their maximum horizontal displacement simultaneously—were used to determine the wavelength, which is the vertical distance between those particles. Particles in phase were tracked using MATLAB, and the wavelengths were calculated accordingly. With both the frequency and wavelength known, the wave speed was calculated. This procedure was performed for frequencies ranging from 50 Hz to 140 Hz in increments of 10 Hz. The results showed no evidence that wave speed depends on frequency.

Recommended Citation

Basha, Michael, "SPEED OF SHEAR WAVES AS A FUNCTION OF FREQUENCY IN MICELLAR FLUID" (2025). Honors Theses. 3215.
https://egrove.olemiss.edu/hon_thesis/3215