Alternative Mathematical Theory of Non-equilibrium Phenomena by Dieter Straub PDF

By Dieter Straub

ISBN-10: 0126730156

ISBN-13: 9780126730159

Alternative Mathematical thought of Non-equilibrium Phenomena provides a completely new theoretical method of complicated non-equilibrium phenomena, particularly Gibbs/Falk thermodynamics and fluid mechanics. This leading edge new concept permits inclusion of all country variables and introduces a brand new vector-dissipation velocity-which ends up in important restatements of momentum, the second one legislation, and tensors for the legislation of movement, friction, and warmth conduction. This application-oriented textual content is comparatively self-contained and is a wonderful guide-book for engineers with a robust curiosity in basics, or for execs utilizing utilized arithmetic and physics in engineering purposes. This booklet emphasizes macroscopic phenomena, focusing particularly on gaseous states, notwithstanding family members to liquid and crystalline states also are thought of. the writer provides a brand new substitute Continuum idea of Compressible Fluids (AT) which providesa qualitative description of the topic in predominantly actual phrases, minimizing the mathematical premises. The technique mentioned has functions in a variety of fields open air of physics in components together with basic approach idea, TheoreticalEconomics, and Biophysics and drugs. Key positive aspects * provides the 1st thought able to dealing with non-equilibria phenomena * bargains a unified thought of all branches of macroscopic physics * Considers a constant and uniform view of fact, supported by way of smooth arithmetic, resulting in effects varied than these produced by means of classical theories * leads to a metamorphosis of paradigms in physics, engineering, and normal philosophy

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Falkian Dynamics: An Introduction hold (Falk, 1990, pp. 186, 189). 14) the three parameters e^, K, and a^ are available to characterize the so-called Poisson gas as a member of the subclass of perfect gases defined by the constant value of the isentropic coefficient K. 9), after some simple manipulations yield dU = TdS-pdV+\eQ-'^T€n J^ , P dn. 15) K - l This equation is actually the key to Gibbs' understanding of a universally physical quantity. 15) combines the changes dU, dS, dV, and dn of all relevant quantities U, S, V, and n, for these are sufficient to fully characterize a Poisson gas.

The functional dependencies of the state properties are generally represented by expressions of the form Q(T; p\ n) = nq{T\ p\ n), where temperature T, pressure p, and mole number n are chosen as independent variables. 11) V{T; p;n) = nv{T\ p) will result. They are not confined to perfect gases, but are an apt description for real one-component materials. 11) imply that, assuming prescribed values of T, p, and n, the values of the quantities U, 5, and V are proportional to the value of the mole number.

The potential and the velocity v are nonthermodynamic quantities and imply that they are to be determined by nonthermodynamic considerations. Thus they are to be regarded as 'external' fields which can affect the thermodynamic state but which cannot be affected by the state directly" (Zeleznik, 1981). It should be emphasized that this plain quotation does not summarize a less relevant part of Zeleznik's thermodynamics. In fact, it is one of the general axioms referring to his theory of thermodynamics as a whole.

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Alternative Mathematical Theory of Non-equilibrium Phenomena by Dieter Straub

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