Abstract.
The concept of parcel is revisited on the basis of a critical analysis of its role in the inference of the governing equations of fluid dynamics. Hence, a more strict meaning of the solutions and their link with the so-called kinematic constraint is pointed out. The discussion is limited to the framework of geophysical fluid dynamics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G.K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, 1970)
D.J. Tritton, Physical Fluid Dynamics (Clarendon Press, Oxford, 1988)
M.L. Salby, Fundamentals of atmospheric physics (Academic Press, 1996)
G.K. Vallis, Atmospheric and oceanic fluid dynamics (Cambridge University Press, 2006)
F. Cavallini, F. Crisciani, Quasi-Geostrophic Theory of Oceans and Atmosphere (Springer, 2013)
M.E. Gurtin, An Introduction to Continuum Mechanics (Academic Press, 1981)
N.M. Laurendeam, Statistical thermodynamics: fundamentals and applications (Cambridge University Press, 2005)
G.A. Tokaty, A History and Philosophy of Fluid Mechanics (Dover Publ., Inc. New York, 1971)
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover Publication, 1981)
A.R. Paterson, A first course in fluid dynamics (Cambridge University Press, 1983)
J. Pedlosky, Lecture Notes on Physical Oceanography, Joint Program MIT-WHOI
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Crisciani, F., Mosetti, R. Remarks about the concept of parcel in geophysical fluid dynamics. Eur. Phys. J. Plus 133, 273 (2018). https://doi.org/10.1140/epjp/i2018-12100-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2018-12100-5