# Baroclinic Kelvin Waves in a Rotating Circular Basin

Mathematical Modelling of Natural Phenomena (2012)

- Volume: 7, Issue: 2, page 38-51
- ISSN: 0973-5348

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topIbragimov, R. N.. "Baroclinic Kelvin Waves in a Rotating Circular Basin." Mathematical Modelling of Natural Phenomena 7.2 (2012): 38-51. <http://eudml.org/doc/222421>.

@article{Ibragimov2012,

abstract = {A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover, the fluid patterns look rotating in an anticlockwise sense looking above the North Pole and that spinning is more intensive for smaller mode numbers. Finally, we observe the existence of the oceanic region where the pressure increases relatively rapidly with the depth.},

author = {Ibragimov, R. N.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {internal gravity waves; group analysis of differential equations; Earth's rotation; Coriolis forces; Boussinesq approximation},

language = {eng},

month = {2},

number = {2},

pages = {38-51},

publisher = {EDP Sciences},

title = {Baroclinic Kelvin Waves in a Rotating Circular Basin},

url = {http://eudml.org/doc/222421},

volume = {7},

year = {2012},

}

TY - JOUR

AU - Ibragimov, R. N.

TI - Baroclinic Kelvin Waves in a Rotating Circular Basin

JO - Mathematical Modelling of Natural Phenomena

DA - 2012/2//

PB - EDP Sciences

VL - 7

IS - 2

SP - 38

EP - 51

AB - A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover, the fluid patterns look rotating in an anticlockwise sense looking above the North Pole and that spinning is more intensive for smaller mode numbers. Finally, we observe the existence of the oceanic region where the pressure increases relatively rapidly with the depth.

LA - eng

KW - internal gravity waves; group analysis of differential equations; Earth's rotation; Coriolis forces; Boussinesq approximation

UR - http://eudml.org/doc/222421

ER -

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