Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time

Alioune Faye; Mamadou Bamba Sene; Cheikh Mbow

doi:doi:10.11648/j.ajmp.20231201.11

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Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time

Alioune Faye, Mamadou Bamba Sene, Cheikh Mbow

Published in American Journal of Modern Physics (Volume 12, Issue 1)

Received: 26 August 2022 Accepted: 17 October 2022 Published: 17 January 2023

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Abstract

In this article, the work carried out is a numerical study of the dynamics of a cyclone modeled by a vertical vorticity vector by considering a radial velocity as a function of time t. We made a short general study on cyclones by modeling a vertical cyclone starting from the Navier-Stokes equations. A study of the vorticity as a function of the radius and as a function of the radial abscissa at different times has been made. We also studied the radial and ortho radial components of the velocity as a function of the radius and as a function of the radial abscissa by varying the Ekman number and the Rossby number by looking at their impacts when they are increased or they are reduced. In the same dynamics, the influence of the decrease in the suction speed over time on the radius of the vortex core has been studied. In short, we have studied the effects of the variation of the radial velocity as a function of time. We ended our study by showing that the Ekman number is the most important parameter in the dynamics of the cyclone, by showing the relationship that exists between the Ekman number and the growth of the rotational motion of a cyclone.

Published in	American Journal of Modern Physics (Volume 12, Issue 1)
DOI	10.11648/j.ajmp.20231201.11
Page(s)	1-8
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Cyclone, Vorticity Vector, Navier-Stokes

References

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[4]	R. Saduorny, some problems of geophysical fluid dynamics; Bourbaki seminar, 1982-1983 exp no 614.
[5]	A. Prudhomme and B. Valtat, study on tropical cyclones of the hot season 1952 -1953 in Madagascar (1955). Public. Sev. Weather report. Madagascar No. 22, 1954.
[6]	A. Y. Le Roux, M. N. Le Roux, report to the Academy of Sciences, forthcoming, A Mathematical Model for Hurricanes (2004). (http://www.math.ntnu.no/conservation/2004/014.html).
[7]	P. Le Galou, S. Laborde, Master of Mathematics Engineering, Trajectory and modeling of a cyclone. University of Bordeaux 1 (2004).
[8]	E. Guyon et al, Cours e2 Bordeaux external fluid flows, rotation effects. Pmmh laboratory associated with the CNRS; ESPCI 10 rue Vauquelin. Chapter 7 vorticity, eddy dynamics, rotating flows Physical Hydrodynamics (Hyph) (2003).
[9]	Ph. Petit Jeans, Fr. Bottausci, Stretched vortex structures: vorticity filaments. Laboratory of Physics and Mechanics of Heterogeneous Media (UMR CNRS 7636) School of Industrial Physics and Chemistry 10, rue Vauquelin, 75005 Paris.
[10]	O. Jambal, T. Shigechi, G. Davva, S. Momoki, 2005, Effect of viscous dissipation and fluid axial heat conduction on heat transfer for non Newtonian fluids in ducts with uniforme wall temperature, Part 1: Parallel plates and circular ducts. Int. Commun. Heat Mass Transf. 32, 1165.
[11]	Wang, Z. (2014) Role of cumulus congestus in tropical cyclone formation in a high-resolution numerical model simulation. Journal of the Atmospheric Sciences, 71 (5), 1681– 1700. https://doi.org/10.1175/jas-d-13-0257.1.
[12]	Gu. Samson, Ocean Mixed Layer (OMC) Response…Modeling the ocean response to a tropical cyclone and its feedback to the atmosphere. GMGE/MEMO doctoral thesis (2009).
[13]	Fetta DANANE, study of mixed rotary convection of a Newtonian fluid: dynamics of a cyclone, magister dissertation, Houari Boumediene University of Science and Technology, 2012.
[14]	Yuan, J. and Wang, D. (2014) Potential vorticity diagnosis of tropical cyclone Usagi (2001) genesis induced by a mid-level vortex over the South China Sea. Meteorology and Atmospheric Physics, 125 (1-2), 75–87. https://doi.org/10.1007/s00703-014-0316-6.

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APA Style

Alioune Faye, Mamadou Bamba Sene, Cheikh Mbow. (2023). Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time. American Journal of Modern Physics, 12(1), 1-8. https://doi.org/10.11648/j.ajmp.20231201.11

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ACS Style

Alioune Faye; Mamadou Bamba Sene; Cheikh Mbow. Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time. Am. J. Mod. Phys. 2023, 12(1), 1-8. doi: 10.11648/j.ajmp.20231201.11

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AMA Style

Alioune Faye, Mamadou Bamba Sene, Cheikh Mbow. Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time. Am J Mod Phys. 2023;12(1):1-8. doi: 10.11648/j.ajmp.20231201.11

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@article{10.11648/j.ajmp.20231201.11,
  author = {Alioune Faye and Mamadou Bamba Sene and Cheikh Mbow},
  title = {Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time},
  journal = {American Journal of Modern Physics},
  volume = {12},
  number = {1},
  pages = {1-8},
  doi = {10.11648/j.ajmp.20231201.11},
  url = {https://doi.org/10.11648/j.ajmp.20231201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20231201.11},
  abstract = {In this article, the work carried out is a numerical study of the dynamics of a cyclone modeled by a vertical vorticity vector by considering a radial velocity as a function of time t. We made a short general study on cyclones by modeling a vertical cyclone starting from the Navier-Stokes equations. A study of the vorticity as a function of the radius and as a function of the radial abscissa at different times has been made. We also studied the radial and ortho radial components of the velocity as a function of the radius and as a function of the radial abscissa by varying the Ekman number and the Rossby number by looking at their impacts when they are increased or they are reduced. In the same dynamics, the influence of the decrease in the suction speed over time on the radius of the vortex core has been studied. In short, we have studied the effects of the variation of the radial velocity as a function of time. We ended our study by showing that the Ekman number is the most important parameter in the dynamics of the cyclone, by showing the relationship that exists between the Ekman number and the growth of the rotational motion of a cyclone.},
 year = {2023}
}

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TY  - JOUR
T1  - Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time
AU  - Alioune Faye
AU  - Mamadou Bamba Sene
AU  - Cheikh Mbow
Y1  - 2023/01/17
PY  - 2023
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DO  - 10.11648/j.ajmp.20231201.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
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EP  - 8
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20231201.11
AB  - In this article, the work carried out is a numerical study of the dynamics of a cyclone modeled by a vertical vorticity vector by considering a radial velocity as a function of time t. We made a short general study on cyclones by modeling a vertical cyclone starting from the Navier-Stokes equations. A study of the vorticity as a function of the radius and as a function of the radial abscissa at different times has been made. We also studied the radial and ortho radial components of the velocity as a function of the radius and as a function of the radial abscissa by varying the Ekman number and the Rossby number by looking at their impacts when they are increased or they are reduced. In the same dynamics, the influence of the decrease in the suction speed over time on the radius of the vortex core has been studied. In short, we have studied the effects of the variation of the radial velocity as a function of time. We ended our study by showing that the Ekman number is the most important parameter in the dynamics of the cyclone, by showing the relationship that exists between the Ekman number and the growth of the rotational motion of a cyclone.
VL  - 12
IS  - 1
ER  -

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Author Information

Alioune Faye

Fluid Mechanics and Applied Dynamics System Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Sénégal
Mamadou Bamba Sene

Solid State Physics and Materials Sciences Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Sénégal
Cheikh Mbow

Fluid Mechanics and Applied Dynamics System Laboraty, Faculty of Sciences and Techniques, University of Cheikh Anta Diop, Dakar, Sénégal

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APA Style

Alioune Faye, Mamadou Bamba Sene, Cheikh Mbow. (2023). Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time. American Journal of Modern Physics, 12(1), 1-8. https://doi.org/10.11648/j.ajmp.20231201.11

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ACS Style

Alioune Faye; Mamadou Bamba Sene; Cheikh Mbow. Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time. Am. J. Mod. Phys. 2023, 12(1), 1-8. doi: 10.11648/j.ajmp.20231201.11

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AMA Style

Alioune Faye, Mamadou Bamba Sene, Cheikh Mbow. Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time. Am J Mod Phys. 2023;12(1):1-8. doi: 10.11648/j.ajmp.20231201.11

Copy | Download

@article{10.11648/j.ajmp.20231201.11,
  author = {Alioune Faye and Mamadou Bamba Sene and Cheikh Mbow},
  title = {Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time},
  journal = {American Journal of Modern Physics},
  volume = {12},
  number = {1},
  pages = {1-8},
  doi = {10.11648/j.ajmp.20231201.11},
  url = {https://doi.org/10.11648/j.ajmp.20231201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20231201.11},
  abstract = {In this article, the work carried out is a numerical study of the dynamics of a cyclone modeled by a vertical vorticity vector by considering a radial velocity as a function of time t. We made a short general study on cyclones by modeling a vertical cyclone starting from the Navier-Stokes equations. A study of the vorticity as a function of the radius and as a function of the radial abscissa at different times has been made. We also studied the radial and ortho radial components of the velocity as a function of the radius and as a function of the radial abscissa by varying the Ekman number and the Rossby number by looking at their impacts when they are increased or they are reduced. In the same dynamics, the influence of the decrease in the suction speed over time on the radius of the vortex core has been studied. In short, we have studied the effects of the variation of the radial velocity as a function of time. We ended our study by showing that the Ekman number is the most important parameter in the dynamics of the cyclone, by showing the relationship that exists between the Ekman number and the growth of the rotational motion of a cyclone.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - Numerical Study of the Dynamics of a Cyclone Modeled by a Vertical Vorticity Vector Considering a Radial Velocity as a Function of Time
AU  - Alioune Faye
AU  - Mamadou Bamba Sene
AU  - Cheikh Mbow
Y1  - 2023/01/17
PY  - 2023
N1  - https://doi.org/10.11648/j.ajmp.20231201.11
DO  - 10.11648/j.ajmp.20231201.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 1
EP  - 8
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20231201.11
AB  - In this article, the work carried out is a numerical study of the dynamics of a cyclone modeled by a vertical vorticity vector by considering a radial velocity as a function of time t. We made a short general study on cyclones by modeling a vertical cyclone starting from the Navier-Stokes equations. A study of the vorticity as a function of the radius and as a function of the radial abscissa at different times has been made. We also studied the radial and ortho radial components of the velocity as a function of the radius and as a function of the radial abscissa by varying the Ekman number and the Rossby number by looking at their impacts when they are increased or they are reduced. In the same dynamics, the influence of the decrease in the suction speed over time on the radius of the vortex core has been studied. In short, we have studied the effects of the variation of the radial velocity as a function of time. We ended our study by showing that the Ekman number is the most important parameter in the dynamics of the cyclone, by showing the relationship that exists between the Ekman number and the growth of the rotational motion of a cyclone.
VL  - 12
IS  - 1
ER  -

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