Libro Continuum Thermodynamics (Sissa Springer Series) De Paolo Podio-Guidugli

portada Continuum Thermodynamics (Sissa Springer Series)

Formato

Libro Físico

Editorial

Springer

Autor

Paolo Podio-Guidugli

Año

2019

Idioma

Inglés

N° páginas

Encuadernación

Tapa Dura

ISBN13

9783030111564

N° edición

Categorías

Matemáticas aplicadas

Continuum Thermodynamics (Sissa Springer Series)

Paolo Podio-Guidugli (Autor) · Springer · Tapa Dura

Sin Stock

Reseña del libro "Continuum Thermodynamics (Sissa Springer Series)"

This book deals with an important topic in rational continuum physics, thermodynamics.Although slim, it is fairly well self-contained; some basic notions in continuum mechanics, which a well-intentioned reader should but may not be familiar with, are collected in a final appendix. Modern continuum thermodynamics is a field theory devised to handle a large class of processes that typically are neither spatially homogeneous nor sequences of equilibrium states. The most basic chapter addresses the continuum theory of heat conduction, in which the constitutive laws furnish a mathematical characterization of the macroscopic manifestations of those fluctuations in position and velocity of the microscopic matter constituents that statistical thermodynamics considers collectively. In addition to a nonstandard exposition of the conceptual steps leading to the classical heat equation, the crucial assumption that energy and entropy inflows should be proportional is discussed and a hyperbolic version of that prototypical parabolic PDE is presented. Thermomechanics comes next, a slightly more complex paradigmatic example of a field theory where microscopic and macroscopic manifestations of motion become intertwined. Finally, a virtual power format for thermomechanics is proposed, whose formulation requires that temperature is regarded formally as the time derivative of thermal displacement. It is shown that this format permits an alternative formulation of the theory of heat conduction, and a physical interpretation of the notion of thermal displacement is given.It is addressed to mathematical modelers – or mathematical modelers to be – of continuous material bodies, be they mathematicians, physicists, or mathematically versed engineers.