Interfacial slip on a transverse-shear mode acoustic wave device

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Ellis, Jonathan S.
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University of Guelph

This thesis describes a mathematical relationship between the slip parameter and the slip length as boundary conditions for the transverse-shear model for a quartz acoustic device. A theory is presented to reduce the determination of slip to a one-parameter fit, showing that the magnitude and phase of the slip parameter, describing the relative displacements of the surface and liquid in the transverse-shear model, can be linked to slip length. An experiment is described, comparing the effects of liquid-surface affinity on the resonance of a TSM wave device, by applying polar and nonpolar liquids to different surfaces. The theory is validated with slip determined from the transverse-shear model, compared to slip lengths from the literature, where the agreement is within one order of magnitude. Negative liquid stiffness improves the relationship between theory and experiment, indicating that intermolecular forces contribute to resonance patterns observed in recent studies.

mathematical relationship, slip parameter, slip length, boundary condition, transverse-shear model, quartz acoustic device