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Book Cover
E-book
Author Chattopadhyay, Adhir Baran, author

Title Mathematical modeling of physical systems : applications of fields, circuits and signal processing / Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Published Singapore : Springer, [2023]

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Description 1 online resource (290 p.)
Series Advances in Intelligent Systems and Computing ; volume 1436
Advances in intelligent systems and computing ; 1436.
Contents Intro -- Preface -- The Place of Magnetic Levitation and Propulsion as a Major Application Area of Electromagnetic Field Theory -- Applications in Fluid Mechanics -- Mathematical Modelling Using the Generalized Theory of Electrical Machines -- Mathematical Modelling of a Non-linear System Using Circuit Theory Approach and Linearization Technique -- Applications of Signal Processing to Certain Classes of Electrical Power System Problems -- Organization -- Suggestions for Using This Book -- Notable Features -- Acknowledgements -- Contents -- About the Editors
1 Applications of Field Theory: Analysis of a Single Sided Linear Induction Motor with Stator and Rotor of Infinite Length and Width -- 1.1 Introduction -- 1.2 Formulation for Fields and Currents -- 1.2.1 Boundary Conditions and Determination of the Coefficients, C1,C2,C3 andC4 -- 1.2.2 Calculation of Flux Density Components in the Rotor Sheet -- 1.2.3 Calculation of Current Density in the Rotor Sheet -- 1.3 Calculation of Forces -- 1.3.1 Calculation of Levitation Force -- 1.3.2 Calculation of Propulsion Force -- 1.4 Normalized Propulsion and Levitation Forces and Their Maximum Values
1.5 Three-Region Problem -- 1.5.1 Boundary Conditions -- 1.5.2 Determination of Coefficients C1,C2,C3,C4andC6 -- 1.5.3 Calculation of Flux Densities and Current Density in the Rotor Sheet -- 1.5.4 Calculation of Forces -- 1.6 Conclusions -- References -- 2 Mathematical Modelling of Electromagnetic Forces Due to Finite Width Effects of a Single-Sided Linear Induction Motor -- 2.1 Introduction -- 2.2 Problem Formulation -- 2.2.1 Formulation for the Field Due to Stator Current Sheet -- 2.3 Solution for Stream Function uy -- 2.4 Steps for Algorithm for Numerical Solution for uy, By2
2.5 Calculation of Forces -- 2.6 Results and Discussion -- 2.7 Conclusions -- 3 Mathematical Modeling of Electromagnetic Forces Due to Finite Length and Finite Width Effects of a Single-Sided Linear Induction Motor -- 3.1 Introduction -- 3.2 Problem Formulation -- 3.2.1 Formulation for the Field Due to Stator Current -- 3.2.2 Formulation for the Current in the Rotor Sheet -- 3.3 Steps of Algorithm for Numerical Solution for uy, By2, Bx2andBz2 -- 3.4 Calculation of Forces -- 3.5 Results and Discussion -- 3.6 Conclusions -- 4 Fluid Flow Representation -- 4.1 Fluid Properties
4.1.1 Kinematic Properties -- 4.1.2 Thermodynamics Properties -- 4.1.3 Transport Properties -- 4.1.4 Miscellaneous Properties -- 4.2 Description of Fluid Flow -- 4.2.1 Lagrangian Description-Control Mass (CM) -- 4.2.2 Eulerian Description-Control Volume (CV) -- 4.2.3 Field View to Fluid Flow -- 4.3 Material Derivative -- 4.4 Governing Equations of Fluid Flow -- 4.4.1 Conservation of Mass-Continuity Equation -- 4.4.2 Conservation of Linear Momentum -- 4.4.3 Conservation of Angular Momentum -- 4.4.4 Conservation of Energy -- 4.5 Irrotational Flow -- 4.5.1 Potential Flow -- 4.5.2 Potential Function
Summary The book presents mathematical modelling of physical systems by combined approach based on field theory, circuit theory and signal processing. The book is broadly divided into three parts: applications of field theory, applications of circuit theory and applications of signals processing. First part contains six chapters, second part has two chapters and third part contains two chapters. First part is further decoupled into three plus three chapters, based on the common field nature exhibited by electromagnetic quantities and fluid quantities
Notes 4.5.3 Stream Function
Bibliography Includes bibliographical references
Notes Description based on online resource; title from digital title page (viewed on August 15, 2023)
Subject Physics -- Mathematical models
Field theory (Physics)
Field theory (Physics)
Physics -- Mathematical models
Form Electronic book
Author Hasan, Shazia, author
Chowdhury, Snehaunshu, author
ISBN 9789811975585
9811975582