The Art of Modeling in Science and Engineering

The Art of Modeling in Science and Engineering

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Description

Modeling is practiced in engineering and all physical sciences. Many specialized texts exist - written at a high level - that cover this subject. However, students and even professionals often experience difficulties in setting up and solving even the simplest of models. This can be attributed to three difficulties: the proper choice of model, the absence of precise solutions, and the necessity to make suitable simplifying assumptions and approximations. Overcoming these difficulties is the focus of The Art of Modeling in Science and Engineering.The text is designed for advanced undergraduate and graduate students and practicing professionals in the sciences and engineering with an interest in Modeling based on Mass, Energy and Momentum or Force Balances. The book covers a wide range of physical processes and phenomena drawn from chemical, mechanical, civil, environmental sciences and bio- sciences. A separate section is devoted to "real World" industrial problems. The author explains how to choose the simplest model, obtain an appropriate solution to the problem and make simplifying assumptions/approximations.show more

Product details

  • Hardback | 688 pages
  • 218.44 x 256.54 x 30.48mm | 1,501.38g
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • United States
  • English
  • 68 black & white tables
  • 1584880120
  • 9781584880127

Table of contents

INTRODUCTIONConservation Laws and Auxiliary RelationsProperties and Categories of BalancesThree Physical ConfigurationsTypes of ODE and AE Mass BalanceInformation Obtained from Model SolutionsTHE SETTING UP OF BALANCESMORE ABOUT MASS, ENERGY AND MOMENTUM BALANCESThe Terms in Various BalancesMass BalancesEnergy BalancesForce and Momentum BalancesCombined Mass and Energy BalancesCombined Mass, Energy and Momentum BalancesORDINARY DIFFERENTIAL EQUATIONSDefinitions and ClassificationsBoundary and Initial ConditionsAnalytical Solutions of ODEsNumerical MethodsNon-Linear AnalysisTHE LAPLACE TRANSFORMATIONGeneral Properties of the Laplace TransformApplication to Differential EquationsBlock Diagrams: A Simple Control SystemOverall Transfer Function; Stability Criterion; Laplace Domain AnalysisSPECIAL TOPICSBiomedical Engineering, Biology and BiotechnologyA Visit to the EnvironmentWelcome to the Real WorldPARTIAL DIFFERENTIAL EQUATIONS: CLASSIFICATION, TYPES, AND PROPERTIES; SOME SIMPLE TRANSFORMATIONS AND SOLUTIONSProperties and Classes of PDEsPDEs of Major ImportanceUseful Simplifications and TransformationsPDE's PDQ: Locating Solutions in Related Disciplines; Solution by Simple Superposition MethodsVECTOR CALCULUS: GENERALIZED TRANSPORT EQUATIONSVector Notation and Vector CalculusTransport of MassTransport of EnergyTransport of MomentumSOLUTION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONSSeparation of VariablesLaplace Transformation and Other Integral TransformsThe Method of Characteristicsshow more

Review quote

"a very comprehensive, yet mainly traditional, book on mathematical modelling aimed essentially at the chemical engineering and related areas -- although I would feel happy about recommending this book to anyone interested in mathematical modelling in any area of science and engineeringa great readIt ranges over many applicationsthe treatment in each case takes no prisoners, and is very sophisticated -- it is definitely addressed to the competent mathematics graduatePlenty of references for further reading and many exercises, projects, etc, make this another gold-mine." - The Mathematical Gazette, November 2001 "The author's writing style is frank, simple and directbook is quite readableaccessible to a wide variety of readers." --RL Houstonshow more