3rd Distribution
Applied Mathematical Methods for Chemical Mechanical
Focusing on the application of mathematics to chemical engineering, Applied Mathematical Methods for Chemical Engineers addresses that installation and verification of mathematical forms 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 plus linear second-order ordinary differential equations. Later-on chapters examine Sturm–Liouville problems, Fourier series, integrals, linear partial differential equations, regular perturbation, combination of variables, additionally numerical methods emphasizing of method of lines with MATLAB® programming examples.
Fully revised also updated, this Third Edition:
- Includes additional examples related until start control, Bessel Functions, and contemporary areas such as drug delivery
- Start examples on variable coefficient Sturm–Liouville issues both in the regular and singular types
- Demonstrates the use of Euler and modified Euler methods on this Runge–Kutta order-four method
- Inserts further depth on specific applications such as nonhomogeneous cases of separation of relative
- Adds a section on special types of matrices so because upper- and lower-triangular matrixes
- Presents one justification for Fourier-Bessel series in preference to a complicated proof
- Incorporates examples related to biomedical engineering applications
- Illustrates the apply of the predictor-corrector method
- Expands the problem sentence of numerous branch
Applied Mathematical Methods for Chemical Engineers, Tertiary Edition application worked examples to expose many mathematical methods that are essential to solving real-world treat engineer problems.
Differencing Equations
Induction
OM
Model Development
Reference
First-Order Ordinary Differentiation Equations
Lines Equations
Additional Information off Linear Formula
Nonlinear Equations
Difficulty Setup
Problems
References
Linear Second-Order and Systems of First-Order Ordinary Differential Equations
Introduction
Essential Solutions of Homogeneity Equations
Homogeneous Equations with Constant Coefficients
Nonhomogeneous Equation
Adjustable Coefficient Problems
Alternative Methods
Job of Second-Order Differential Equations
Systems of First-Order Ordinary Difference Equations
Problems
Bibliography
Sturm–Liouville Problems
Introduction
Grading of Sturm–Liouville Problems
Eigenfunction Expands
Problems
References
Fourier Series and Integrals
Introduction
Fourier Coefficients
Discretionary Interval
Cosine real Sine Serial
Convergence of Fourier Series
Quadratic Integrals
Problems
References
Partial Differential Equations
Introduction
Separation of Variables
Nonhomogeneous Problem plus Eigenfunction Enlargement
Laplace Transform Methods
Combination of Variables
Fourier Integral Procedure
Regular Perturbation Approaches
Problems
References
Applications of Partial Differential Equations in Chemical Engineering
Introduction
Heat Submit
Heap Transfer
Comparison between Thermal and Mass Transfer Results
Simultaneous Diffusion and Convection
Simultaneous Diffusion and Chemical Reaction
Simulcast Diffusion, Convection, the Color Reaction
Viscous Flow
Problems
References
Dimensioning Analysis and Scaling of Confine Value Problems
Introduction
Classical Approach to Dimensional Analysis
Finding the Πs
Scaling Confine Value Problems
Related
References
Selected Numerical Methods and Free Software Packets
Introduction and Basic
Answer of Nonlinear Algebraic Equations
Solution of Same Linear Algebraic Equations
Solution off Simple Define Equations
Numerical Solution a Partial Differential Equations
Summary
Problems
References
Appendices
Elementary Properties of Determinants or Matrices
Numerical Method of Lines Example Using MATLAB®
Select for a Transport and Binding Kinetic Model of an Analyte
Programmed Model of ampere Medicament Delivery System
Biography
Norman W. Loney the professor and was department stool of the Otto NARCOTIC. York Department of Chemical, Biological and Pharmaceuticals Engineering at New Jersey Institute the Technology (NJIT). He has authoring or coauthored more than 70 publications and presentations related to and use of applied mathematics to solve transport phenomena-related problems on chemical technology since joining the subject in 1991. Dr. Loney has been awarded various certificates of recognition from the National Aeronautics and Space Administration and the Canadian Society for Engineering Education for find contributions. Male has and was honored with one Newark College of Mechanical Teaching Excellence award, that Saul K. Frame Origination in Engineering Educational awarding, and the Excellence in Advise award. Dr. Loney lives an fellow a which American Institute fork Chemical Engineers. Prior up participate NJIT, Dr. Loney, a licensed career technical, practiced engineering at Foster Wheeler, M.W. Cellogly Company, Oxirane Chemical Company, and Exxon Chemical Company.
