Numerical simulation of coalescence of micron-submicron sized droplets and thin films

Download

YBE_Thesis_final.pdf

Date

2021-9

Author

Erkan, Yılmaz Barış

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

333
views

218
downloads

Dynamics of droplet merging emerges with an utmost significance in many scientific areas and its effects ranges vastly from agriculture to engineering. Understanding the underlying physics of coalescence of droplets is, therefore, crucial to have control over its effects in complex systems which they are included. In this study, time dependent coalescence dynamics of fully wetting cylindrical droplets is investigated extensively. Droplets are created utilizing the Young-Laplace equation, and the dynamics of the temporal development and the merger of two liquid droplets is studied through the solution of the governing unsteady Reynolds equation, obtained with lubrication assumption. The governing Reynolds equation is a 4th order non-linear partial differential equation for film thickness and it is solved using a time step marching algorithm in conjunction with an implicit formulation of the spatial domain solved iteratively to account for the non-linear terms.

Subject Keywords

Thin films, droplet coalescence, numerical simulation, micron-submicron sized droplets

URI

https://hdl.handle.net/11511/93210

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Optimally merging precipitation to minimize land surface modeling errors Yılmaz, Mustafa Tuğrul; Shrestha, Roshan; Anantharaj, Valentine G. (American Meteorological Society, 2010-03-01) This paper introduces a new method to improve land surface model skill by merging different available precipitation datasets, given that an accurate land surface parameter ground truth is available. Precipitation datasets are merged with the objective of improving terrestrial water and energy cycle simulation skill, unlike most common methods in which the merging skills are evaluated by comparing the results with gauge data or selected reference data. The optimal merging method developed in this study minim...
Singularly perturbed diffusion-advection-reaction processes on extremely large three-dimensional curvilinear networks with a periodic microstructure -- efficient solution strategies based on homogenization theory Kropat, Erik; Meyer-Nieberg, Silja; Weber, Gerhard-Wilhelm (American Institute of Mathematical Sciences (AIMS), 2016-8) Boundary value problems on large periodic networks arise in many applications such as soil mechanics in geophysics or the analysis of photonic crystals in nanotechnology. As a model example, singularly perturbed elliptic differential equations of second order are addressed. Typically, the length of periodicity is very small compared to the size of the covered region. The overall complexity of the networks raises serious problems on the computational side. The high density of the graph, the huge number of ed...
Analytical and Experimental Investigations of a New Hysteretic Damper Dicleli, Murat (2012-09-24) In this paper, analytical and experimental studies into the behavior of a new hysteretic damper, designed for seismic protection of structures is presented. The Multidirectional Torsional Hysteretic Damper (MTHD) is a recently-patented invention in which a symmetrical arrangement of identical cylindrical steel cores is so configured as to yield in torsion while the structure experiences planar movements due to earthquake shakings. The new device has certain desirable properties. Notably, it is characterize...
Discontinuous Galerkin Methods for Convection Diffusion Equations with Random Coefficients Çiloğlu, Pelin; Yücel, Hamdullah (null; 2019-09-11) Partial differential equations (PDEs) with random input data is one of the most powerful tools to model oil and gas production as well as groundwater pollution control. However, the information available on the input data is very limited, which causes high level of uncertainty in approximating the solution to these problems. To identify the random coefficients, the well–known technique Karhunen Loéve (K–L) expansion has some limitations. K–L expansion approach leads to extremely high dimensional system...
Modelling the Dynamic Response of Pile Foundations in Performance Based Geotechnical Engineering Framework Unutmaz, Berna; Gülerce, Zeynep (2016-06-26) The objective of this study is to develop a performance-based earthquake engineering (PBEE) framework for the soil liquefaction-related hazards and estimate the levels of exceeding liquefaction related engineering demand parameters (EDPs) in a probabilistic manner. The post-cyclic lateral deformation at the pile head (x) is tried to be predicted from ground motion intensity measures (IMs) such as peak ground acceleration (PGA) and Arias Intensity (I a). Within this scope, a number of finite difference anal...

Citation Formats

Y. B. Erkan, “Numerical simulation of coalescence of micron-submicron sized droplets and thin films,” M.S. - Master of Science, Middle East Technical University, 2021.