Opis: Applied Mathematical Methods for Chemical Engineers - Norman Loney

Focusing on the application of mathematics to chemical engineering, Applied Mathematical Methods for Chemical Engineers addresses the setup and verification of mathematical models using experimental or other independently derived data. The book provides an introduction to differential equations common to chemical engineering, followed by examples of first-order and linear second-order ordinary differential equations. Later chapters examine Sturm-Liouville problems, Fourier series, integrals, linear partial differential equations, regular perturbation, combination of variables, and numerical methods emphasizing the method of lines with MATLAB(R) programming examples. Fully revised and updated, this Third Edition: * Includes additional examples related to process control, Bessel Functions, and contemporary areas such as drug delivery * Introduces examples of variable coefficient Sturm-Liouville problems both in the regular and singular types * Demonstrates the use of Euler and modified Euler methods alongside the Runge-Kutta order-four method * Inserts more depth on specific applications such as nonhomogeneous cases of separation of variables * Adds a section on special types of matrices such as upper- and lower-triangular matrices * Presents a justification for Fourier-Bessel series in preference to a complicated proof * Incorporates examples related to biomedical engineering applications * Illustrates the use of the predictor-corrector method * Expands the problem sets of numerous chapters Applied Mathematical Methods for Chemical Engineers, Third Edition uses worked examples to expose several mathematical methods that are essential to solving real-world process engineering problems.Differential Equations Introduction ODE Model Development References First-Order Ordinary Differential Equations Linear Equations Additional Information on Linear Equations Nonlinear Equations Problem Setup Problems References Linear Second-Order and Systems of First-Order Ordinary Differential Equations Introduction Fundamental Solutions of Homogeneous Equations Homogeneous Equations with Constant Coefficients Nonhomogeneous Equations Variable Coefficient Problems Alternative Methods Applications of Second-Order Differential Equations Systems of First-Order Ordinary Differential Equations Problems References Sturm-Liouville Problems Introduction Classification of Sturm-Liouville Problems Eigenfunction Expansion Problems References Fourier Series and Integrals Introduction Fourier Coefficients Arbitrary Interval Cosine and Sine Series Convergence of Fourier Series Fourier Integrals Problems References Partial Differential Equations Introduction Separation of Variables Nonhomogeneous Problem and Eigenfunction Expansion Laplace Transform Methods Combination of Variables Fourier Integral Methods Regular Perturbation Approaches Problems References Applications of Partial Differential Equations in Chemical Engineering Introduction Heat Transfer Mass Transfer Comparison between Heat and Mass Transfer Results Simultaneous Diffusion and Convection Simultaneous Diffusion and Chemical Reaction Simultaneous Diffusion, Convection, and Chemical Reaction Viscous Flow Problems References Dimensional Analysis and Scaling of Boundary Value Problems Introduction Classical Approach to Dimensional Analysis Finding the PIs Scaling Boundary Value Problems Problems References Selected Numerical Methods and Available Software Packages Introduction and Philosophy Solution of Nonlinear Algebraic Equations Solution of Simultaneous Linear Algebraic Equations Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Summary Problems References Appendices Elementary Properties of Determinants and Matrices Numerical Method of Lines Example Using MATLAB(R) Program for a Transport and Binding Kinetics Model of an Analyte Programmed Model of a Drug Delivery System

Szczegóły: Applied Mathematical Methods for Chemical Engineers - Norman Loney

Tytuł: Applied Mathematical Methods for Chemical Engineers
Autor: Norman Loney
Producent: CRC Press Inc.
ISBN: 9781466552999
Rok produkcji: 2015
Ilość stron: 565
Oprawa: Twarda
Waga: 1.02 kg

Recenzje: Applied Mathematical Methods for Chemical Engineers - Norman Loney