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dc.contributor.authorAkkuş, Y.
dc.contributor.authorÇetin, Barbaros
dc.contributor.authorDursunkaya, Z.
dc.date.accessioned2021-02-24T11:01:01Z
dc.date.available2021-02-24T11:01:01Z
dc.date.issued2020
dc.identifier.issn1290-0729
dc.identifier.urihttp://hdl.handle.net/11693/75551
dc.description.abstractA theoretical framework is established to model the evaporation from continuously fed droplets, promising tools in the thermal management of high heat flux electronics. Using the framework, a comprehensive model is developed for a hemispherical water droplet resting on a heated flat substrate incorporating all of the relevant transport mechanisms: buoyant and thermocapillary convection inside the droplet and diffusive and convective transport of vapor in the gas domain. At the interface, mass, momentum, and thermal coupling of the phases are also made accounting for all pertinent physical aspects including several rarely considered interfacial phenomena such as Stefan flow of gas and the radiative heat transfer from interface to the surroundings. The model developed utilizes temperature dependent properties in both phases including the density and accounts for all relevant physics including Marangoni flow, which makes the model unprecedented. Moreover, utilizing this comprehensive model, a nonmonotonic interfacial temperature distribution with double temperature dips is discovered for a hemispherical droplet having internal convection due to buoyancy in the case of high substrate temperature. Proposed framework is also employed to construct several simplified models adopting common assumptions of droplet evaporation and the computational performance of these models, thereby the validity of commonly applied simplifying assumptions, are assessed. Benchmark simulations reveal that omission of gas flow, i.e. neglecting convective transport in gas phase, results in the underestimation of evaporation rates by 23–54%. When gas flow is considered but the effect of buoyancy is modeled using Boussinesq approximation instead of assigning temperature dependent density throughout the gas domain, evaporation rate can be underestimated by up to 16%. Deviation of simplified models tends to increase with increasing substrate temperature. Moreover, presence of Marangoni flow leads to larger errors in the evaporation rate prediction of simplified models.en_US
dc.language.isoEnglishen_US
dc.source.titleInternational Journal of Thermal Sciencesen_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.ijthermalsci.2020.106529en_US
dc.subjectDroplet evaporationen_US
dc.subjectSteadily fed dropleten_US
dc.subjectThermocapillarityen_US
dc.subjectBuoyancyen_US
dc.subjectGas convectionen_US
dc.subjectStefan flowen_US
dc.titleA theoretical framework for comprehensive modeling of steadily fed evaporating droplets and the validity of common assumptionsen_US
dc.typeArticleen_US
dc.departmentDepartment of Mechanical Engineeringen_US
dc.citation.spage106529en_US
dc.citation.volumeNumber158en_US
dc.identifier.doi10.1016/j.ijthermalsci.2020.106529en_US
dc.publisherElsevieren_US
dc.contributor.bilkentauthorÇetin, Barbaros
dc.embargo.release2022-12-01


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