## Numerical study on the dispersion and deposition of particles in evaporating sessile droplets

 buir.advisor Biancoﬁore, Luca dc.contributor.author Erdem, Ali Kerem dc.date.accessioned 2022-09-22T08:11:15Z dc.date.available 2022-09-22T08:11:15Z dc.date.copyright 2022-09 dc.date.issued 2022-09 dc.date.submitted 2022-09-20 dc.department Department of Mechanical Engineering en_US dc.description Cataloged from PDF version of article. en_US dc.description Thesis (Master's): Bilkent University, Mechanical Engineering, İhsan Doğramacı Bilkent University, 2022. en_US dc.description Includes bibliographical references (leaves 118-121). en_US dc.description.abstract Evaporating sessile droplets including dispersed particles are utilized in the coating, printing, and biomedical applications. Modeling this problem is a challenging process, therefore diﬀerent assumptions are used in the literature. It is important to have a model which covers both pinned and moving contact line regimes for the droplet, thus whole evaporation process and deposition proﬁle can be understood. Therefore, in this work, a numerical and mathematical model is derived to simulate two-dimensional symmetric thin evaporating sessile droplets whose contact line is ﬁrstly pinned and then moving. This model is derived by combining diﬀerent models in literature with the help of lubrication theory and rapid vertical diﬀusion assumption. This model includes a temporal change in the droplet’s surface height, contact line dynamics, particle dispersion, and deposition. The ﬁnite diﬀerence method is used in the numerical solution. Cases including pinned and moving contact lines in the literature are solved separately by diﬀerent numerical algorithms developed in this work and these algorithms were combined. This new algorithm ﬁrst solves a mathematical model in the pinned contact line regime. When the contact angle goes below the deﬁned limit, the second part of the algorithm solves the mathematical model in the moving contact line regime until 95 percent of the total particle mass is deposited. A parametric study has been done with the developed algorithm. A set of parameters is deﬁned and chosen parameters are changed to see their eﬀects. It is observed that increasing the Marangoni number and Capillary number, increased particle accumulation near the center. Decreasing evaporation number and increasing Damkohler number result in more uniform particle deposition. en_US dc.description.degree M.S. en_US dc.description.statementofresponsibility by Ali Kerem Erdem en_US dc.embargo.release 2023-03-20 dc.format.extent xiii, 121 leaves : illustrations, charts, graphics ; 30 cm. en_US dc.identifier.itemid B161330 dc.identifier.uri http://hdl.handle.net/11693/110567 dc.language.iso English en_US dc.publisher Bilkent University en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.subject Evaporation en_US dc.subject Sessile droplets en_US dc.subject Dispersion en_US dc.subject Deposition en_US dc.subject Numerical model en_US dc.title Numerical study on the dispersion and deposition of particles in evaporating sessile droplets en_US dc.title.alternative Buharlaşan sapsız damlacıklarda parçacıkların dağılması ve birikmesi üzerine sayısal çalışma en_US dc.type Thesis en_US
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