Study of Propagation Properties of Rossby Waves in the Atmosphere and Relationship Between the Phase Velocity and the Group Velocity
American Journal of Management Science and Engineering
Volume 2, Issue 6, November 2017, Pages: 199-204
Received: Mar. 30, 2017;
Accepted: May 11, 2017;
Published: Jan. 30, 2018
Views 2110 Downloads 77
Mohammed Anwar Batal, Department of Physic, Aleppo University, Aleppo City, Syria
Sawsan Othman, Department of Physic, Aleppo University, Aleppo City, Syria
Follow on us
Using Rossby wave equations, the dispersion equation is developed. The wave normal diagram for Rossby waves on a beta plane is a circle in wave number (k, l) space whose center is displaced along the negative X axis, and whose radius is less than this displacement, which means that phase propagation is entirely westward. The phase velocity diagram is a circle whose center is displaced along the negative X axis, the group velocity diagram is an ellipse whose center is displaced westward and whose major and minor axes give the maximum all the directions group speeds as function of the frequency and parameter Q.
Rossby Waves, Planetary Waves, Phase Velocity, Group Velocity, Barotropic Fluid, Baroclinic Fluid
To cite this article
Mohammed Anwar Batal,
Study of Propagation Properties of Rossby Waves in the Atmosphere and Relationship Between the Phase Velocity and the Group Velocity, American Journal of Management Science and Engineering.
Vol. 2, No. 6,
2017, pp. 199-204.
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
HOLTEN J., 2004-An introduction to dynamic meteorology. International geophysics series, 4th ed, New York, 553.
VALLIS G. K., 2006- Atmospheric Oceanic Fluid Dynamics, Fundamentals and Large-scale Circulation, p. 745. (Cambridge University Press: Cambridge).
PEDLOSKY J., 1987- Geophysical Fluid Dynamics, p. 710, (Springer-Verlag: New York).
DIAMOND P. H, GURCAN D. D, HAHN, T. S, MIKI K and GARBET X., Momentum theorems and the structure of atmospheric jets and zonal flows in plasmas. Plasma Phys. Control. Fusion 2008, 50, 124018. doi:10.1088/0741-3335/50/12/124018.
KIDSTON J. and VALLIS G. K., 2012- The relationship between the speed and the latitude of an eddy-driven jet in a stirred barotropic model. J. Atmos. Sci, 69, 3251–3263.
BHAGAVATHIAMMAL G., 2012-Studies on mean winds and planetary waves in the middle atmosphere. Equatorial geophysical research laboratory, India, 8-11.
DAVIS R., 2014-Wave Dynamics of the Middle Atmosphere. University of Bath, 26-29.
RHINES P., 2009-Rossby waves. J. Atmos. Sci, 1-3.
RHINES P., 2003- Rossby waves. In Encyclopedia of Atmospheric Sciences. Academic Press: Oxford, 22-30.
ANDREWS D., 2010-An Introduction to Atmospheric Physics. Cambridge University Press, 2nd ed, New York, 249.
MCKENZIE, J., 2014- The group velocity and radiation pattern of Rossby waves. Geophysical and Astrophysical Fluid Dynamics. 1-5.
DIAMOND P. H, GURCAN D. D, HAHN T. S, MIKI K., and GARBET X., 2008- Momentum theorems and the structure of atmospheric jets and zonal flows in plasmas. Plasma Phys, Control. Fusion, 50,124018, doi:10.1088/0741-3335/50/12/124018.