Adiabatic Thermodynamics Of Fluids: From Hydrodynamics To General Relativity

by Christian Fronsdal

Overview

Unlike the traditional approach to thermodynamics, this book begins with a brief exposition of hydrodynamics. At this stage, the development is limited to potential flows, because, until recently, that is all that could be done, but also for didactic reasons. However, the reader will find that the situation has changed radically with the discovery of Conservative Hydrodynamics.At the core of thermodynamics is the Gibbsean minimum energy principle. In this book, it is generalized to include the hydrodynamical degrees of freedom; that is, localized as a field theory of density, pressure, temperature and entropy. The theory is referred to as local thermodynamics, as opposed to traditional, global thermodynamics where the main foundation is the variational principle of Gibbs, with a modification recommended by Prigogine.This book exists because there is (or was) no satisfactory theory of the dynamical metric interacting with extended distributions of matter. It will be shown that any theory of interacting fields that includes the Einsteinian metric must be based on an action principle.This allows us, for the first time, to use 'energy' as a precise concept in vortex dynamics. Sample applications include rotating planets, Couette flow, stresses in fluids (inside the meniscus, negative pressures), immiscible fluids, amongst others.

Product Details

ISBN-13:	9789811200670
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	09/17/2020
Pages:	356
Product dimensions:	6.69(w) x 9.61(h) x 0.81(d)

Table of Contents

Introduction; Action Principle for Global Thermodynamics; Localization; Applications to Simple Systems; A Theory of Fluid Mixtures; Immiscible Fluids; Speed of Sound in Mixtures; Superfluid Helium ; Atmospheres; Conservative Hydrodynamics; Rotating Planets; Special Relativity; General Relativity