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The Hamilton-Type Principle in Fluid Dynamics

Fundamentals and Applications to Magnetohydrodynamics, Thermodynamics, and Astrophysics

  • Book
  • © 2006

Overview

Authors:
  1. Angel Fierros Palacios

    1. Instituto de Investigaciones Eléctricas, Cuernavaca, Morelos, México

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxv
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  2. General Principles

    Pages 1-18

  3. Mass Density

    Pages 19-38

  4. Analytical Mechanics

    Pages 39-60

  5. Ideal Fluids

    Pages 61-94

  6. Potential Flow

    Pages 95-126

  7. Viscous Fluids

    Pages 127-156

  8. Free Convection

    Pages 157-184

  9. Magnetohydrodynamics

    Pages 185-206

  10. Potential Flow in a Magnetic Field

    Pages 207-222

  11. Magnetohydrodynamic Waves

    Pages 223-238

  12. The Sunspots

    Pages 239-266

  13. The Hamilton Equations of Motion

    Pages 267-292

  14. Thermodynamics

    Pages 293-332

  15. The Magnetic Field in the Stability of the Stars

    Pages 333-402

  16. Back Matter

    Pages 403-404
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Keywords

About this book

The objective of this book is to contribute to specialized literature with the most significant results obtained by the author in Continuous Mechanics and Astrophysics. The nature of the book is largely determined by the fact that it describes Fluid Dynamics,Magnetohydrodynamics,and Classical Thermodynamics as branches of Lagrange’s Analytical Mechanics; and in that sense, the approach presented in it is markedly different from the treatment given to them in traditional text books. In order to reach that goal, a Hamilton-Type Variational Principle, as the proper mathermatical technique for the theoretical description of the dy- mic state of any fluid is formulated. The scheme is completed proposing a new group of variations regarding the evolution parameter which is time; and with the demonstration of a theorem concerning the invariance of the action integral under continuous and infinitesimal temporary transfor- tions. With all that has been mentioned before and taking into account the methodsof thecalculusof variationsandtheadequateboundaryconditions, a general methodology for the mathematical treatment of fluid flows characteristic of Fluid Dynamics, Magnetohydrodynamics, and also fluids at rest proper of Classical Thermodynamics is presented.

Authors and Affiliations

  • Instituto de Investigaciones Eléctricas, Cuernavaca, Morelos, México

    Angel Fierros Palacios

About the author

Angel Fierros Palacios was born in March 1933 in Pochutla, Oaxaca, México. He studied Physics at the Universidad Nacional Autonoma de México (UNAM), where he also obtained a Master degree and Ph. D. in Science. For many years he was Professor at the UNAM and a researcher at the Instituto Mexicano del Petróleo and at the Instituto Nacional de Investigaciones Nucleares. He also worked at different areas of the public administration such as the Instituto Mexicano del Seguro Social, the Secre-taría de Energía, as well as the Comisión Federal de Electricidad (CFE). He is the author of the project which originated the Instituto de Investiga-ciones Eléctricas (IIE) and also, he was General Director of the Museo Tecnológico de la CFE. Presently he is working at the IIE as Director de la División de Energías Alternas.

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