Entropy Based Design and Analysis of Fluids Engineering Systems  book cover
1st Edition

Entropy Based Design and Analysis of Fluids Engineering Systems

ISBN 9780849372629
Published February 27, 2008 by CRC Press
344 Pages 130 B/W Illustrations

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Book Description

From engineering fluid mechanics to power systems, information coding theory and other fields, entropy is key to maximizing performance in engineering systems. It serves a vital role in achieving the upper limits of efficiency of industrial processes and quality of manufactured products. Entropy based design (EBD) can shed new light on various flow processes, ranging from optimized flow configurations in an aircraft engine to highly ordered crystal structures in a turbine blade.

Entropy Based Design of Fluid Engineering Systems provides an overview of EBD as an emerging technology with applications to aerospace, microfluidics, heat transfer, and other disciplines. The text extends past analytical methods of Entropy Generation Minimization to numerical simulations involving more complex configurations and experimental measurement techniques.

The book begins with an extensive development of basic concepts, including the mathematical properties of entropy and exergy, as well as statistical and numerical formulations of the second law. It then goes on to describe topics related to incompressible flows and the Second Law in microfluidic systems. The authors develop computational and experimental methods for identifying problem regions within a system through the local rates of entropy production. With these techniques, designers can use EBD to focus on particular regions where design modifications can be made to improve system performance. Numerous case studies illustrate the concepts in each chapter, and cover an array of applications including supersonic flows, condensation and turbulence.

A one-of-a-kind reference, Entropy Based Design of Fluid Engineering Systems outlines new advances showing how local irreversibilities can be detected in complex configurations so that engineering devices can be re-designed locally to improve overall performance.

Table of Contents

Governing Equations of Fluid Flow and Heat Transfer
Mathematical Properties of Entropy and Exergy
Governing Equations of Entropy and the Second Law
Formulation of Entropy Production and Exergy Destruction

Statistical and Numerical Formulations of the Second Law
Conservation Laws as Moments of the Boltzmann Equation
Extended Probability Distributions
Selected Multivariate Probability Distribution Functions
Concave Entropy Functions
Statistical Formulation of the Second Law
Numerical Formulation of the Second Law

Predicted Irreversibilities of Incompressible Flows
Entropy Transport Equation for Incompressible Flows
Formulation of Loss Coefficients with Entropy Production
Upper Entropy Bounds in Closed Systems
Case Study of Automotive Fuel Cell Design
Case Study of Fluid Machinery Design

Measured Irreversibilities of Incompressible Flows
Experimental Techniques of Irreversibility Measurement
Case Study of Magnetic Stirring Tank Design
Case Study of Natural Convection in Cavities
Measurement Uncertainties

Entropy Production in Microfluidic Systems
Pressure-Driven Flow in Microchannels
Applied Electric Field in Microchannels
Micropatterned Surfaces with Open Microchannels

Numerical Error Indicators and the Second Law
Discretization Errors of Numerical Convection Schemes
Physical Plausibility of Numerical Results
Entropy Difference in Residual Error Indicators

Numerical Stability and the Second Law
Stability Norms
Entropy Stability of Finite Difference Schemes
Stability of Shock Capturing Methods

Entropy Transport with Phase Change Heat Transfer
Entropy Transport Equations for Solidification and Melting
Heat and Entropy Analogies in Phase Change Processes
Numerical Stability of Phase Change Computations
Thermal Control of Phase Change with Inverse Methods
Entropy Production with Film Condensation

Entropy Production in Turbulent Flows
Reynolds Averaged Entropy Transport Equations
Eddy Viscosity Models of Mean Entropy Production
Turbulence Modeling with the Second Law

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"The authors have done an excellent job in providing a clear, concise and well-presented description of the entropy-based design of fluid engineering systems . . . up-to-date references."
—Kedar N. Shukla, in Zentralblatt Math, 2009