Karmaşık geometrilerdeki çok fazlı akışların sayısal modellenmesi için yeni bir kapalı basınç-düzeltmeli (simle) sonlu- hacimler/arayüz-izleme metodu

Flows of gas-liquid or liquid-liquid mixed phases are familiar from many macroscopicsystems. When discussing the multiphase flows in micro systems, there are likewise a myr-iad of questions arising in even simple configurations such as determination of the size ofdroplets of the dispersed phase, the speed at which the dispersed phase moves relative tothe continuous phase and additional pressure drop in micro-channels due to presence ofsecondary phase. In this thesis, a finite-volume/front-tracking (FV/FT) method is devel-oped for computations of multiphase flows in complex geometries as a toolbox to be usedin designing and analysis of microfluidics systems. The method is based on the one fieldformulation of the flow equations and treating different phases as single fluid with vari-able material properties. The FV method is based on the SIMPLE algorithm on colocatedbody-fitted grids and is combined with the FT methodology. The interface is representedby connected Lagrangian marker points. A novel tracking algorithm is utilized to trackthe positions of front marker points in curvilinear grids and is found to be very robust andcomputationally efficient. The method is implemented to solve two-dimensional (plane oraxisymmetric) dispersed multiphase flows. First, the particle tracking algorithm is testedand then the new FV/FT method is validated for the bouyancy-driven falling drop testcase. Finally, the new method is used to compute the axisymmetric case of a gas phasedisplacing a Newtonean fluid.Keywords: A finite-volume/front-tracking method, SIMPLE algorithm, dispersed mul-tiphase flows, complex geometries, film depositioniv