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An Introduction to the Coriolis Force - Henry Stommel

An Introduction to the Coriolis Force

Hardcover

Published: 3rd November 1989
For Ages: 22+ years old
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The purpose of this work is to offer a clear physical explanation of the Coriolis force. Meterologists and oceanographers have invoked this somewhat mysterious force to explain the apparent equilibrium of a system of wind patterns or ocean currents in the presence of horizontal pressure gradients so that the velocity of fluid lies among isobars. The force is named for Gustave Gaspard Coriolis (1792-1843), a French mathematician who studied its effects.

In order to make the mathematical concepts more tangible, the authors have prepared a series of computer exercises, written in BASIC for the IMB-AT with Enhanced Color Display, that can be copied piece by piece. For those who prefer not to make up their own copy of the program, there are instructions on how to order a pre-made copy in the Introduction of this book. These programs will provide an interactive tool for experimenting with a variety of problems involving the idea of Coriolis force.

"An Introduction to the Coriolis Force" will be most useful for studying the hydrodynamics of the ocean and atmosphere. It also presents many aspects of classical mechanics/dynamics physics. Its straightforward explanations and unique accessibility should help explain the complexities of this mysterious force, about which many scientists have had lingering uncertainties since it was first described in 1831.

Acknowledgements
Introduction
Prolegomenon
Real and apparent force
Real force
Apparent force Exercises Conventions about notation
Velocity and acceleration in plane polar coordinates
Transformation of coordinates
Velocity and acceleration Exercises
Rotating coordinate frames
Coriolis force
Magnitude of the Coriolis force
Centrifugal and Coriolis forces in rotating rectangular coordinates
Experts, novices and Hooke springs
Trajectories in the absolute inertial reference frame
A linkage analogy
Trajectory in rotating frame
Another approach using complex notation
The usage of the words "balance" and "equilibrium" Problems Exercises Some physical interpretation of what we have observed in exercise 3-1
The paraboloidal dish
The paraboloid as a platform
Small amplitude motions in the rotating frame
First integrals Problems Exercises
Surfaces of revolution
Hemispherical and paraboloidal dishes compared
Comparison with the Hooke spring plane
Results from first integrals
The paraboloid
The Hooke spring plane
Spherical dish
Rotation of the apsides
Numerical solutions Problems Exercises
Velocity and acceleration in spherical coordinates
Tranformation from cylindrical polar coordinates to spherical coordinates
Alternative forms in inertial space
Acceleration and Coriolis forces in rotating spherical coordinates
Trajectories on the surface of a gravitating sphere
Planer motion in spherical coordinates Problems Exercises
Huygen's rotating oblate earth
Approximate figure of the earth
Forces on a plumb bob
Computing the bulge
Novice particles on Huygen's spheroid
Free fall from a short tower
Calculation of the deflection of a falling particle in a rotating coordinate frame
Fall from a tower calculated in inertial space
Preliminary results regarding ellipses
Freely falling particle Problems Exercises Some further thought about the exercises of chapter 7
Forced motion
Real forces relative to the rotating system
Balances among terms
Response of a particle to a force of the first type Exercises
Refining the earth's platform
Deficiencies of the Huygen's spheroid
Combined centrifugal and gravitational potentials
The concept of a platform as an equipotential surface
Maclaurin's ellipsoid
Particle motions on the Maclaurin ellipsoid Problem Exercises
Concluding Materials
General References--other places to look
A vector derivation
Size of accelerations and forces in terrestrial fluids
Pressure gradiants
Appendix--The Compton generator
Historical background
Computation of flow in the Compton experiement
Do it yourself
The Compton generator
Computation (1). Rotating reference frame
Computation (2). As seen in intertial space
Compton saves himself Exercise
Epilogue--Sample of the screen: Example 7-1
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780231066365
ISBN-10: 0231066368
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 297
Published: 3rd November 1989
Publisher: Columbia University Press
Country of Publication: US
Dimensions (cm): 22.86 x 15.88  x 3.18
Weight (kg): 0.45