Skip to main content

A similarity transformation for inviscid non–Boussinesq gravity currents

Summary.

We propose a similarity transformation to investigate the motion of inviscid gravity currents in the similar phase. With this similarity transformation, the shallow water equations can be solved without needing to consider the front condition Eq. (1) downstream of the gravity current, and the parameter β of Eq. (1) becomes a part of the similarity solutions. It is shown that the resultant similarity solutions are in good agreement with the experimental results of both the dam-break and the lock-exchange non-Boussinesq currents, which have a density much larger than the ambient fluid.

This is a preview of subscription content, access via your institution.

Acknowledgments.

This research has been supported by the National Science Council of Taiwan through grant NSC 91-2201-E-002-089.

Author information

Affiliations

Authors

Corresponding author

Correspondence to F. Chen.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ruo, AC., Chen, F. A similarity transformation for inviscid non–Boussinesq gravity currents. Acta Mechanica 173, 33–40 (2004). https://doi.org/10.1007/s00707-004-0184-0

Download citation

Keywords

  • Dynamical System
  • Fluid Dynamics
  • Shallow Water
  • Transport Phenomenon
  • Similarity Solution