Overview

This volume presents a synthesizing approach to the thermal physics of fluid continua based on an extension of Hamilton's principle which allows the free flow of entropy, independent of that of matter. The extension, used in the context of Noether's theorem of variational calculus, gives rise to heat and diffusion terms in the conservation laws for the energy, momentum and matter, and may include the effects of thermal inertia. The mass conservation in reacting systems results from their intrinsic symmetries. The role of thermodynamic irreversibility can be investigated through a generalized action functional with Onsager's dissipation potentials. While variational calculus is the basic mathematical tool, the book emphasizes the conservation laws in the context of the underlying thermodynamics (reversible or not) rather than the mathematical formalism. The book can be used as a supplementary text in graduate courses on fluid mechanics, nonequilibrium thermodynamics, transport phenomena and variational calculus. As a reference text for further research it should attract researchers working in various branches of macroscopic physics, chemistry and applied mathematics, especially those in continuum mechanics, nonequilibrium thermodynamics (classical and extended), heat and mass transfer. Applied mathematicians shouls also welcome the use of the field (Lagrangian and Hamiltonian) formalisms for complex physiochemical continua.

Full Product Details

Author:   S. Sieniutycz
Publisher:   Springer
Imprint:   Springer
Edition:   1994 ed.
Volume:   279
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.971kg
ISBN:  

9780792328025

ISBN 10:   0792328027
Pages:   448
Publication Date:   30 April 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

Chap. 1 Physical significance of Nöther’s symmetries and extremum principles.- Chap. 2 Eulerian and Lagrangian descriptions of perfect fluids.- Chap. 3 Conservation laws for given system of equations.- Chap. 4 Thermodynamics and kinetics of nonequilibrium fluids.- Chap. 5 Lagrangian and Hamiltonian formalism for reversible nonequilibrium fluids with heat flow.- Chap. 6 Extended reversible problem involving mass diffusion, heat flow and thermal inertia.- Chap. 7 A generalized action with dissipative potentials.- Chap. 8 Thermo-hydrodynamic potentials and geometries: the union of thermodynamics and hydromechanics.- Chap. 9 Intrinsic symmetries and conservation of mass in chemically reacting systems.- Chap. 10 Conservation laws as given constraints for processes at mechanical equilibrium.- Chap. 11 Generalized minimum dissipation in presence of convection and chemical reactions.- Chap. 12 Some associated relativistic results.- References.- Glossary of principal symbols.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions