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Physics of Lakes

Volume 1: Foundation of the Mathematical and Physical Background
Buch | Hardcover
XLVII, 434 Seiten
2010 | 2011
Springer Berlin (Verlag)
978-3-642-15177-4 (ISBN)
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This first volume in the treatise on the Physics of Lakes deals with the formulation of the mathematical and physical background. A large number of lakes on Earth are described, presenting their morphology as well as the causes of their response to the driving environment. Because the physics of lakes cannot be described without the language used in mathematics, these subjects are introduced first by using the simplest approach and with utmost care, assuming only a limited college knowledge of classical Newtonian physics, and continues with increasing complexity and elegance, starting with the fundamental equations of Lake Hydrodynamics in the form of 'primitive equations' and leading to a detailed treatment of angular momentum and vorticity. Following the presentation of these fundamentals turbulence modeling is introduced with Reynolds, Favre and other non-ergodic filters. The derivation of averaged field equations is presented with different closure schemes, including thek- model for a Boussinesq fluid and early anisotropic closure schemes. This is followed by expositions of surface gravity waves without rotation and an analysis of the role played by the distribution of mass within water bodies on the Earth, leading to a study of internal waves. The vertical structure of wind-induced currents in homogeneous and stratified waters and the Ekman theory and some of its extensions close this first volume of Physics of Lakes. The last chapter collects formulas for the phenomenological coefficients of water.

Mathematical Prerequisites.- A Brief Review of the Basic Thermomechanical Laws of Classical Physics.- Fundamental Equations of Lake Hydrodynamics.- Conservation of Angular Momentum - Vorticity.- Turbulence Modelling.- Introduction to Linear Waves.- The Role of the Distribution of Mass within Water Bodies on Earth.- Vertical Structure of Wind-induced Currents in Homogenous and Stratified Waters.- Phenomenological Coefficients of Water

From the reviews:

"The book offers a broad, self-contained introduction to the physics of lakes and will be an invaluable reference for all those with an active interest in geophysical mechanics research and teaching." (Felix Kaplanski, Zentralblatt MATH, Vol. 1207, 2011)

Erscheint lt. Verlag 11.11.2010
Reihe/Serie Advances in Geophysical and Environmental Mechanics and Mathematics
Zusatzinfo XLVII, 434 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 920 g
Themenwelt Naturwissenschaften Geowissenschaften Geologie
Naturwissenschaften Geowissenschaften Geophysik
Naturwissenschaften Physik / Astronomie Mechanik
Schlagworte Environmental Fluid Dynamics • Fluiddynamik • Lake Dynamics • Oceanography • Physical Limnology • Physik • See • Transport Processes in Lakes
ISBN-10 3-642-15177-9 / 3642151779
ISBN-13 978-3-642-15177-4 / 9783642151774
Zustand Neuware
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