The Art of Modeling in Science and Engineering – Diran Basmadjian – 1st Edition

Description

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 and engineering with an interest in 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 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.

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  • INTRODUCTION
    Conservation Laws and Auxiliary Relations
    Properties and Categories of Balances
    Three Physical Configurations
    Types of ODE and AE Mass Balance
    Information Obtained from Model Solutions

    THE SETTING UP OF BALANCES MORE ABOUT MASS, ENERGY AND MOMENTUM BALANCES
    The Terms in Various Balances
    Mass Balances
    Energy Balances
    Force and Momentum Balances
    Combined Mass and Energy Balances
    Combined Mass, Energy and Momentum Balances

    ORDINARY DIFFERENTIAL EQUATIONS
    Definitions and Classifications
    Boundary and Initial Conditions
    Analytical Solutions of ODEs
    Numerical Methods
    Non-Linear Analysis

    THE LAPLACE TRANSFORMATION
    General Properties of the Laplace Transform
    Application to Differential Equations
    Block Diagrams: A Simple Control System
    Overall Transfer Function. Stability Criterion. Laplace Domain Analysis

    SPECIAL TOPICS
    Biomedical Engineering, Biology and Biotechnology
    A Visit to the Environment
    Welcome to the Real World

    PARTIAL DIFFERENTIAL EQUATIONS: CLASSIFICATION, TYPES, AND PROPERTIES. SOME SIMPLE TRANSFORMATIONS AND SOLUTIONS
    Properties and Classes of PDEs
    PDEs of Major Importance
    Useful Simplifications and Transformations
    PDE's PDQ: Locating Solutions in Related Disciplines. Solution by Simple Superposition Methods

    VECTOR CALCULUS: GENERALIZED TRANSPORT EQUATIONS
    Vector Notation and Vector Calculus
    Transport of Mass
    Transport of Energy
    Transport of Momentum

    SOLUTION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
    Separation of Variables
    Laplace Transformation and Other Integral Transforms
    The Method of Characteristics
  • Citation
    • Full Title: The Art of Modeling in Science and Engineering
    • Author/s:
    • ISBN-10: 1584880120
    • ISBN-13: 9781584880127
    • Edition: 1st Edition
    • Topic: Math
    • Subtopic: Advanced Mathematics
    • File Type: eBook
    • Idioma: English

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