Excerpt from Dynamic Meteorology and Hydrography
The level surfaces must be carefully distinguished from the surfaces of equal height above or equal depth below sea-level. The intensity of gravity decreases from the pole to the equator. Consequently the unit-mass must be lifted higher at the equator than at the pole, if the same amount of work is to be performed, and thus the same level surface be attained. A surface of equal height above or of equal depth below sea-level must therefore cut through the system of level surfaces. The surface of equal height or depth is a slanting surface, which is not normal to the plumb-line, and on which equilibrium is not possible under the sole action of gravity. If the surfaces were hard and smooth a ball would remain in equilibrium on a level surface. But on a surface of equal height above sea-level it would roll in-the direction from the pole to the equator; and on a surface of equal depth below sea-level it would roll in the direction from the equator to the pole.
This property at once shows that the surfaces of equal height or depth are not suitable as coordinate surfaces in problems relating to the statics or the dynamics of the atmosphere or the sea. For this purpose only level surfaces are found suitable.
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Paperback. Zustand: New. Print on Demand. This book offers a comprehensive study of the dynamics of continuous media with a focus on the atmosphere and the sea. The author, a leading expert in the field, presents a systematic and mathematically rigorous treatment of the subject. The book begins with a discussion of the basic concepts of fluid dynamics, including density, pressure, and velocity. It then goes on to develop the equations of motion for continuous media and applies them to a variety of problems in atmospheric and oceanic dynamics. The author also provides a detailed discussion of the role of gravity in the dynamics of the atmosphere and the sea. The book concludes with a discussion of the applications of the theory of continuous media to the study of climate and weather. This book is an essential resource for anyone interested in understanding the dynamics of the atmosphere and the sea. It provides a comprehensive and up-to-date treatment of the subject, and it is written in a clear and accessible style. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332920952_0
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