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Inhaltsangabe
This book contains 4 units of study that form the foundation of mathematical methods and fluid mechanics. Unit 1 - Properties of a fluid introduces the continuum model and many of the properties of a fluid, such as density, pressure and viscosity. The basic equation of fluid statics is formulated and used to find the pressure distribution in a liquid and to provide a model for the atmosphere. Unit 2 - Ordinary differential equations starts by showing how changes of variables (involving use of the Chain Rule) can be applied to solve certain non-constant-coefficient differential equations, and leads on to the topics of boundary-value and eigenvalue problems. It concludes with an introduction to the method of power-series for solving initial-value problems. Unit 3 - First-order partial differential equations extends the earlier version of the Chain Rule to cover a change of variables for functions of two variables, and shows how this leads to the method of characteristics for solving first-order partial differential equations. Unit 4 - Vector field theory relates line, surface and volume integrals through two important theorems Gauss theorem and Stokes theorem and formulates the equation of mass continuity for a fluid in motion.
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Reseña del editor
This book contains 4 units of study that form the foundation of mathematical methods and fluid mechanics. Unit 1 - Properties of a fluid introduces the continuum model and many of the properties of a fluid, such as density, pressure and viscosity. The basic equation of fluid statics is formulated and used to find the pressure distribution in a liquid and to provide a model for the atmosphere. Unit 2 - Ordinary differential equations starts by showing how changes of variables (involving use of the Chain Rule) can be applied to solve certain non-constant-coefficient differential equations, and leads on to the topics of boundary-value and eigenvalue problems. It concludes with an introduction to the method of power-series for solving initial-value problems. Unit 3 - First-order partial differential equations extends the earlier version of the Chain Rule to cover a change of variables for functions of two variables, and shows how this leads to the method of characteristics for solving first-order partial differential equations. Unit 4 - Vector field theory relates line, surface and volume integrals through two important theorems Gauss theorem and Stokes theorem and formulates the equation of mass continuity for a fluid in motion.
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Mathematical Methods and Fluid Mechanics - Block 1
Verlag:
Open University Worldwide, 2009
ISBN 10: 0749223073
ISBN 13: 9780749223076
Gebraucht
Paperback
Anbieter: WorldofBooks, Goring-By-Sea, WS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Bestandsnummer des Verkäufers GOR003857314
Anzahl: 3 verfügbar