### Abstract

The mass transport induced by a small amplitude progressive wave traveling in a rectangular wave tank is investigated. Attention is focused on the three-dimensional mean flow structure generated by the Stokes boundary layers near the side walls. The mass-transport problem is formulated in terms of vorticity and velocity field. A numerical scheme is developed to solve the coupled transport equation for the vorticity and the Poisson equation for the stream function. It is found that the side-wall boundary layers generate mean downstream vorticities. When the Reynolds number is small, the diffusion process dominates. Therefore, the vorticities generated from the boundary layers are diffused into the entire wave tank. On the other hand, when the Reynolds number is much larger than one, the convection process becomes as important as the diffusion process, the steady vorticities are confined within a small area adjacent to the solid boundaries. When the aspect ratio, width divided by depth, is of the order of magnitude of one, a pair of circulation cells appear on the plane perpendicular to the direction of wave propagation. As the width of the tank increases, more cells appear. The spanwise variations of the mass-transport velocity in the wave propagation direction become more significant when the aspect ratio is larger.

Original language | English (US) |
---|---|

Pages (from-to) | 88-104 |

Number of pages | 17 |

Journal | Journal of Waterway, Port, Coastal and Ocean Engineering |

Volume | 119 |

Issue number | 1 |

DOIs | |

State | Published - 1993 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Civil and Structural Engineering
- Ocean Engineering
- Water Science and Technology
- Engineering(all)
- Earth and Planetary Sciences(all)
- Environmental Science(all)

### Cite this

*Journal of Waterway, Port, Coastal and Ocean Engineering*,

*119*(1), 88-104. https://doi.org/10.1061/(ASCE)0733-950X(1993)119:1(88)

**Mass transport in wave tank.** / Iskandarani, Mohamed; Liu, Philip L F.

Research output: Contribution to journal › Article

*Journal of Waterway, Port, Coastal and Ocean Engineering*, vol. 119, no. 1, pp. 88-104. https://doi.org/10.1061/(ASCE)0733-950X(1993)119:1(88)

}

TY - JOUR

T1 - Mass transport in wave tank

AU - Iskandarani, Mohamed

AU - Liu, Philip L F

PY - 1993

Y1 - 1993

N2 - The mass transport induced by a small amplitude progressive wave traveling in a rectangular wave tank is investigated. Attention is focused on the three-dimensional mean flow structure generated by the Stokes boundary layers near the side walls. The mass-transport problem is formulated in terms of vorticity and velocity field. A numerical scheme is developed to solve the coupled transport equation for the vorticity and the Poisson equation for the stream function. It is found that the side-wall boundary layers generate mean downstream vorticities. When the Reynolds number is small, the diffusion process dominates. Therefore, the vorticities generated from the boundary layers are diffused into the entire wave tank. On the other hand, when the Reynolds number is much larger than one, the convection process becomes as important as the diffusion process, the steady vorticities are confined within a small area adjacent to the solid boundaries. When the aspect ratio, width divided by depth, is of the order of magnitude of one, a pair of circulation cells appear on the plane perpendicular to the direction of wave propagation. As the width of the tank increases, more cells appear. The spanwise variations of the mass-transport velocity in the wave propagation direction become more significant when the aspect ratio is larger.

AB - The mass transport induced by a small amplitude progressive wave traveling in a rectangular wave tank is investigated. Attention is focused on the three-dimensional mean flow structure generated by the Stokes boundary layers near the side walls. The mass-transport problem is formulated in terms of vorticity and velocity field. A numerical scheme is developed to solve the coupled transport equation for the vorticity and the Poisson equation for the stream function. It is found that the side-wall boundary layers generate mean downstream vorticities. When the Reynolds number is small, the diffusion process dominates. Therefore, the vorticities generated from the boundary layers are diffused into the entire wave tank. On the other hand, when the Reynolds number is much larger than one, the convection process becomes as important as the diffusion process, the steady vorticities are confined within a small area adjacent to the solid boundaries. When the aspect ratio, width divided by depth, is of the order of magnitude of one, a pair of circulation cells appear on the plane perpendicular to the direction of wave propagation. As the width of the tank increases, more cells appear. The spanwise variations of the mass-transport velocity in the wave propagation direction become more significant when the aspect ratio is larger.

UR - http://www.scopus.com/inward/record.url?scp=0027334053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027334053&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)0733-950X(1993)119:1(88)

DO - 10.1061/(ASCE)0733-950X(1993)119:1(88)

M3 - Article

AN - SCOPUS:0027334053

VL - 119

SP - 88

EP - 104

JO - Journal of Waterway, Port, Coastal and Ocean Engineering

JF - Journal of Waterway, Port, Coastal and Ocean Engineering

SN - 0733-950X

IS - 1

ER -