Case Reports in Surgery and Invasive Procedures

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Case Reports in Surgery and Invasive Procedures 44 7897 074717

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The flow of liquid (water) and air bubbles has been attracting the interest of many researchers. Experimental investigations of the flow including micro bubbles are now well developed regarding engineering applications, such as drag reduction of pipe flow, cleaning of polymer ink and separation of carbon fibers using micro bubbles. Multiphase flow has been computationally studied by the volume of fluid method (VOF), the discrete element method (DEM), the immersed boundary method (IBM), the moving particle semi-implicit method (MPS), and the theoretical model equations taking into account of inertial and added-mass body acceleration forces. Although VOF can be applied to many complex configurations, it needs much CPU time and heavy memory capacity. IBM proposed by Peskin has been largely applied to solve the liquid motion including solid particles. But it cannot be used to solve particle-liquid flow if the particle density is less than 0.3 of the liquid density.

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