Environmental Fluid Mechanics

, Volume 5, Issue 4, pp 325–340 | Cite as

A Quantitative Analysis of Energy Dissipation among Three Typical Air Entrainment Phenomena

  • Ashabul Hoque
  • Shin-Ichi Aoki


This study investigates energy dissipation due to air bubble entrainment for three typical phenomena; a hydraulic jump, a 2-D vertical plunging jet and a vertical circular plunging jet into water. A simple model is presented here which enables to estimate the energy transformation and dissipation achieved by air bubbles quantitatively for three above phenomena. The average rate of energy dissipation by air bubbles obtained from the experimental data are 25%, 1.4%, and 2.15% with respect to total energy loss for the hydraulic jump, 2-D vertical plunging jet and vertical circular plunging jet, respectively.

Key words

Breaking wave energy dissipation plunging liquid jet potential energy void-fraction 


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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of RajshahiRajshahiBangladesh
  2. 2.Department of Architecture and Civil EngineeringToyohashi University of TechnologyJapan

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