THERMODYNAMICS OF CONTINUOUS SYSTEMS

The feasibility of a unified approach to transport processes based on classical thermodynamics or thermostatics is examined. The first chapter reviews the concept of discontinuous, uniform systems for analyzing continuous or nonequilibrium systems. A comparison of the microscopic and macroscopic app...

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Bibliographic Details
Main Authors: Sliepcevich,C. M, Starling,K. E, Havens,J. A
Format: Report
Language:English
Subjects:
CONTINUUM MECHANICS
ENTROPY
Fluid Mechanics
HEAT TRANSFER
KINETIC ENERGY
STATISTICAL MECHANICS
Thermodynamics
THERMOSTATICS
TRANSPORT PROPERTIES
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Summary:The feasibility of a unified approach to transport processes based on classical thermodynamics or thermostatics is examined. The first chapter reviews the concept of discontinuous, uniform systems for analyzing continuous or nonequilibrium systems. A comparison of the microscopic and macroscopic approaches for establishing the existence of the reciprocal relations is also analyzed. The implications of invoking the notion of local equilibrium are demonstrated by simple temperature relaxation processes. Chapters 2, 3, and 4 give detailed derivations of the entropy balance for continuous, fluid systems in which diffusion and chemical reactions take place. Emphasis is given to the well-known transport theory paradox which reveals inconsistencies in the entropy balance obtained from classical mechanics as opposed to classical thermodynamics. Techniques for avoiding these discrepancies are proposed. (Author)