Date of Award

2023

Document Type

Open Access Dissertation

Degree Name

Doctor of Philosophy in Mechanical Engineering-Engineering Mechanics (PhD)

Administrative Home Department

Department of Mechanical Engineering-Engineering Mechanics

Advisor 1

Kazuya Tajiri

Committee Member 1

Song-Lin Yang

Committee Member 2

Zhen Liu

Committee Member 3

Jeffrey S. Allen

Abstract

Droplet impact behaviors on a solid substrate is a complicated process that involves multiple phenomena on a small scale within a short time. This phenomenon has wide applications in the industrial, medical, and scientific fields. To understand the complicated mechanism, we select the oscillation process as the marked phase to observe and analyze the dynamical balancing between different forces and conservation of energies and compare it to the typical damped harmonic oscillator (DHO) model to examine the character of variables as viscosity, surface tension, and wettability. From the testing results, we created a precise model for post-impact dynamics and described how the solid wettability (which is demonstrated as the contact angle) and the surface tension (which is presented as the weber number) helped control the oscillation dynamics; then further studies reveal the influence of weber number on oscillation frequencies and make a capillary pressure related assumption about satellite droplet separated from the main body. Finally, the latest study reveals the viscosities’ influence on the dynamics. By creating the overall functions of the Weber and Reynolds numbers, we created a model that can represent the oscillation process under a wide range of conditions.

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