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Enhancement of wave transmissions in multiple radiative and convective zones

Published online by Cambridge University Press:  31 March 2021

Tao Cai Open the ORCID record for Tao Cai [Opens in a new window] ,
Cong Yu Open the ORCID record for Cong Yu [Opens in a new window]  and
Xing Wei Open the ORCID record for Xing Wei [Opens in a new window]
Tao Cai*
Affiliation:
State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, PR China
Cong Yu*
Affiliation:
State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, PR China School of Physics and Astronomy, Sun Yat-sen University, Zhuhai519082, PR China
Xing Wei
Affiliation:
Department of Astronomy, Beijing Normal University, Beijing 100875, PR China
*
†Email addresses for correspondence: tcai@must.edu.mo, yucong@mail.sysu.edu.cn
†Email addresses for correspondence: tcai@must.edu.mo, yucong@mail.sysu.edu.cn
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Abstract

In this paper, we study wave transmission in a rotating fluid with multiple alternating convectively stable and unstable layers. We have discussed wave transmissions in two different circumstances: cases where the wave is propagative in each layer and cases where wave tunnelling occurs. We find that efficient wave transmission can be achieved by ‘resonant propagation’ or ‘resonant tunnelling’, even when stable layers are strongly stratified, and we call this phenomenon ‘enhanced wave transmission’. Enhanced wave transmission only occurs when the total number of layers is odd (embedding stable layers are alternatingly embedded within clamping convective layers, or vice versa). For wave propagation, the occurrence of enhanced wave transmission requires that the clamping layers have similar properties, the thickness of each clamping layer is close to a multiple of the half-wavelength of the corresponding propagative wave and the total thickness of the embedded layers is close to a multiple of the half-wavelength of the corresponding propagating wave (resonant propagation). For wave tunnelling, we have considered two cases: tunnelling of gravity waves and tunnelling of inertial waves. In both cases, efficient tunnelling requires that the clamping layers have similar properties, the thickness of each embedded layer is much smaller than the corresponding e-folding decay distance and the thickness of each clamping layer is close to a multiple-and-a-half of the half-wavelength (resonant tunnelling).

JFM classification

Geophysical and Geological Flows: Rotating flows Geophysical and Geological Flows: Stratified flows Geophysical and Geological Flows: Waves in rotating fluids
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A125
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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