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A two-¯uid model for strati®ed ¯ows with curved interfaces N. Brauner, D. Moalem Maron, J. Rovinsky Department of Fluid Mechanics, Faculty of Engineering, Tel-Aviv Univ., Tel-Aviv, Israel Received 2 December 1996; received in revised form 19 January 1998 Abstract This study is motivated by the need to develop a practical tool for predicting the interface shape in strati®ed ¯ow of a general two-¯uid system. A con®guration of a curved interface is considered. A two-¯uid model is used to solve the momentum equations for a variable interface curvature. Energy considerations provide a closure relation for the interface curvature. The analysis identi®es all the input dimensionless parameters which determine the solution for the strati®ed ¯ow pattern. When these are given, a complete solution of the problem is obtained, including the interface shape, in situ hold-up and
pressure drop. The validity of the two-¯uid model is evaluated by comparing its prediction with available experimental data and with the results of exact analytical solutions for laminar ¯ows with curved interfaces. Thus, the conventional two-¯uid model has been extended to tackle strati®ed ¯ow with curved interfaces and various ¯ow regimes, in which case analytical solutions are complicated and restricted to laminar ¯ows. # 1998 Elsevier Science Ltd. All rights reserved. درصورت درخواست ترجمه مقاله با 09139826993تماس بگیرید
Keywords:
Two-¯uid model; Strati®ed ¯ow; Curved interface لینک دوستان ما
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