Journal of Mechanical Science and Technology

, Volume 33, Issue 6, pp 2693–2709 | Cite as

Two-dimensional two-fluid model for air-oil wavy flow in horizontal tube

  • Hong-Cheol Shin
  • Hyeon-Seok Seo
  • Sung-Min KimEmail author


This study concerns the development of a two-dimensional two-fluid model for wavy flows in horizontal tubes. To deal with the curved walls of the liquid and gas phases and the gas-liquid interface simultaneously, the bipolar coordinate system was used. Experiments on air-oil mixture flow in horizontal tubes with diameters of 20 and 40 mm were conducted to observe wavy flow patterns accompanying the two-dimensional (2D) and Kelvin-Helmholtz (KH) waves and to measure the pressure gradient under different flow conditions. Two different previous correlations for the interfacial friction factor were employed in the model for predicting the wavy flows with 2D and KH waves. Predictions of the model of the liquid film height, the average values of wall shear stresses of each phase, and the average interfacial shear stress were compared for different diameters and different superficial gas and liquid Reynolds numbers. Also presented are detailed predictions of the model for four different flow conditions, including the local values of interfacial shear stress, wall shear stress of the liquid phase, interfacial friction factor, liquid film height, and two-dimensional velocity distribution in the liquid phase at the cross-section of the tube.


Two-phase flow Pressure gradient Liquid holdup Interfacial shear stress Two-dimensional wave Kelvin-Helmholtz wave 


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This work was supported by a Korea Agency for Infrastructure Technology Advancement (KAIA) grant funded by the Ministry of Land, Infrastructure and Transport (Grant 1615009756).


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Copyright information

© KSME & Springer 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringSungkyunkwan UniversitySuwonKorea
  2. 2.Chassis-Trim Analysis TeamHyundai MobisYonginKorea

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