Physics of Lakes: Volume 1: Foundation of the Mathematical and Physical Background

ISBN-13: 9783642265976 / Angielski / Miękka / 2013 / 434 str.

Kolumban Hutter; Yongqi Wang; Irina P. Chubarenko

Opis

Lakes are important habitats for many species and have always been extensively used by people for fishing and transport, as sources of drinking water and energy; and for recreation. The physical processes governing the water motion at and beneath the lake surface are described in this book. Fundamental physics using mathematical formulations, (2) measuring techniques and (3) analytical/numerical modelling are applied to describe barotropic and baroclinic linear and nonlinear oscillations, temperature and mass distributions, seasonal changes of the water stratification, wind-induced currents and many other phenomena related to physical limnology. A large number of field, laboratory and numerical examples are used to support the pertinent equations.

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 most simple approach and with utmost care, assuming only a limited college knowledge calculus and classical Newtonian physics, and continue 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.

Recenzje

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)

Spis treści

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.