Abstract
In this chapter we develop the basic equations of fluid mechanics. These equations are derived from the conservation laws of mass, momentum and energy. We begin with the simplest assumptions, leading to Euler’s equations for a perfect fluid. These assumptions are relaxed in the third section to allows for viscous effects that arise from the molecular transport of momentum. Throughout the book we emphasize the intuitive and mathematical aspects of vorticity; this job is begun in the second section of this chapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
A. Sommerfeld [1964] Thermodynamics and Statistical Mechanics, reprinted by Academic Press, Chapters 1 and 4.
H. Lamb [1895] Mathematical Theory of the Motion of Fluids, Cambridge Univ. Press, p. 149.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Chorin, A.J., Marsden, J.E. (1990). The Equations of Motion. In: A Mathematical Introduction to Fluid Mechanics. Texts in Applied Mathematics, vol 4. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0364-0_1
Download citation
DOI: https://doi.org/10.1007/978-1-4684-0364-0_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-0366-4
Online ISBN: 978-1-4684-0364-0
eBook Packages: Springer Book Archive