1st Edition

Entropy Based Design and Analysis of Fluids Engineering Systems

By Greg F. Naterer, Jose A. Camberos Copyright 2008
    344 Pages 130 B/W Illustrations
    by CRC Press

    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.

    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


    Greg F. Naterer, Jose A. Camberos

    "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