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Abstract

We present a theoretical model of the temperature distribution in the boundary layer region close to the seabed. Using a perturbation expansion, multiple scales and similarity variables, we show how free-surface waves enhance heat transfer between seawater and a seabed with a solid, horizontal, smooth surface. Maximum heat exchange occurs at a fixed frequency depending on ocean depth, and does not increase monotonically with the length and phase speed of propagating free-surface waves. Close agreement is found between predictions by the analytical model and a finite-difference scheme. It is found that free-surface waves can substantially affect the spatial evolution of temperature in the seabed boundary layer. This suggests a need to extend existing models that neglect the effects of a wave field, especially in view of practical applications in engineering and oceanography.

DOI

10.1017/jfm.2021.842

Publication Date

2021-12-10

Publication Title

Journal of Fluid Mechanics

Volume

928

ISSN

0022-1120

Embargo Period

2021-11-13

Organisational Unit

School of Engineering, Computing and Mathematics

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