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Studies in microfluidics: Electrolyt...
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Jutley, Mahnprit S.
Studies in microfluidics: Electrolyte film stability and droplet evaporation dynamics.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Studies in microfluidics: Electrolyte film stability and droplet evaporation dynamics.
作者:
Jutley, Mahnprit S.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, 2016
面頁冊數:
108 p.
附註:
Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.
附註:
Adviser: Vladimir S. Ajaev.
Contained By:
Dissertation Abstracts International78-01B(E).
標題:
Applied mathematics.
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10135788
ISBN:
9781339930688
Studies in microfluidics: Electrolyte film stability and droplet evaporation dynamics.
Jutley, Mahnprit S.
Studies in microfluidics: Electrolyte film stability and droplet evaporation dynamics.
- Ann Arbor : ProQuest Dissertations & Theses, 2016 - 108 p.
Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.
Thesis (Ph.D.)--Southern Methodist University, 2016.
The first of the investigations is on the stability of a thin electrolyte film on a substrate with a spatially periodic charge density. The approach to the mathematical modeling of this system is novel by way of the inclusion of the equation for electrostatic potential in the governing equations for fluid flow and the incorporation of the effects of charge regulation. The model utilizes the lubrication-type equations that account for surface tension, viscosity, electrostatic potential, and charge density.
ISBN: 9781339930688Subjects--Topical Terms:
377601
Applied mathematics.
Studies in microfluidics: Electrolyte film stability and droplet evaporation dynamics.
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The first of the investigations is on the stability of a thin electrolyte film on a substrate with a spatially periodic charge density. The approach to the mathematical modeling of this system is novel by way of the inclusion of the equation for electrostatic potential in the governing equations for fluid flow and the incorporation of the effects of charge regulation. The model utilizes the lubrication-type equations that account for surface tension, viscosity, electrostatic potential, and charge density.
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To model the electrostatic potential, the Debye-Huckel approximation is utilized with a fixed electrostatic potential at the liquid-air interface and space-dependent charge densities at both the liquid-air interface and the solid-liquid interface. The effects of both charge density and electrostatic potential are thoroughly investigated under linear stability analysis and various film base states are obtained. Criteria for stability in both studies are formulated based on electrostatic potential parameters.
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In the second part of this investigation, the effects of vapor diffusion and unsteady substrate heating of the evaporation of a sessile droplet is investigated. A new model is created that includes conditions that couple the three system governing equations: the heat equation in the substrate, the diffusion equation for vapor concentration, and the nonlinear height evolution equation. Using these coupling conditions, the three equations are numerically solved simultaneously. The model makes use of the lubrication-type equations that account for surface tension, dynamic viscosity, and fluid density.
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$a
To model the substrate heating, the heat equation is used in combination with a condition that couples the evaporative flux and substrate surface temperature. For the diffusion of vapor concentration, the diffusion equation is used with a nonlinear representation of saturation vapor concentration on the droplet surface. To model the height of the droplet, a nonlinear fourth-order partial differential equation is developed using lubrication theory.
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By studying the effects of vapor diffusion, the study reveals the effects of liquid volatility on the pinning of the droplet, evolution of the droplet surface temperature, contact angle evolution, height evolution, and evaporative flux. The effects of unsteady substrate heating demonstrates influence over the amount of time the droplet remains pinned and the droplet surface temperature over time. The study also reveals an inverse relationship between substrate conductivity and droplet pinning time. Unexpectedly, the investigation reveals a critical contact angle at which depinning of the contact line occurs. The results of this new model agree with experimental data and open new avenues of investigation.
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