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About this book
About this book
The book introduces essential concepts of pollutant fate and transport using hands-on model building approach. The first part of the book provides a refresher on pertinent theory with special emphasis on obtaining fluxes and mass-loadings for various physical, chemical and biological processes in natural and engineered systems which are part of the mass-balance formulation. The second part of the book deals with mathematical and numerical approaches for solving mass-balance expressions. A wide range of techniques including the numerical differentiation of ordinary and partial differential equations are discussed. The implementation of these methods on Microsoft Excel spreadsheet is detailed in a workbook format using diagrams and screenshots.
Introduction; Environmental Systems; Mathematical Models for Environmental Systems; Fundamental Quantities for Building Mathematical Models-Concentration; Fundamental Quantities for Building Mathematical Models-Rate Measures; Fundamental Transport Processes; Abiotic and Biotic Reactions; Interphase Mass-transfer-Kinetic Theories; Interphase Mass-transfer-Equilibrium Partitioning; Reactors and Mass Balance Expressions; Mass-Balance Equations - Other Salient Concepts; Computing Tools for the Model Development; Implementing Root-finding in MS-EXCEL; Matrices and Linear System of Equations; Optimization Methods for Solving Linear and Nonlinear Equations; Analytical Methods for First-Order Ordinary Differential Equations; Numerical Methods for Solving First-Order ODEs; Methods for Solving Second-Order ODEs; Analytical and Indirect Approaches for Solving Partial Differential Equations; Finite-Difference Approaches for Solving Partial Differential Equations; Methods to Evaluate Definite Integrals; Data Compilation, Parameter Estimation and Model Calibration; Model Sensitivity and Uncertainty Analysis; Steps in Carrying out a Modeling Project; Advanced Model Formulations and Algorithms; References.