| Description |
1 online resource (xv, 699 pages) |
| Series |
Studies in systems, decision and control ; Volume 200 |
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Studies in systems, decision and control ; v. 200.
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| Contents |
Intro; Preface; Contents; Contributors; On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling; 1 On the Beginning of the Theory of Hydrodynamic Lubrication; 2 On Misalignment and Cavitation in Journal Bearings; 3 The Inverse Problem. Its Numerical Resolution; 4 Other Topics; 5 Fluid Film Thickness; 5.1 Parallel Case; 5.2 Misaligned Case; 6 Derivation of the Reynolds Equation; 7 The Reynolds Cavitation Model; 7.1 The Non-dimensional Reynolds Cavitation Model; 8 Derivation of the Generalized Reynolds Equation |
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9 Simplifications to the GRE for Journal Bearings9.1 The Non-dimensional GRE for Journal Bearings; 10 The Elrod-Adams Cavitation Model; 10.1 Deduction of the Flow Continuity Condition Through the Free Boundary; 11 Weak Formulation of the Elrod-Adams Cavitation Model; 12 Shaft Stationary Model; References; On Dynamic Interactions Between Body Motion and Fluid Motion; 1 Introduction; 2 The Models; 2.1 Bodies in a Channel Flow; 2.2 A Skimming Body; 2.3 Pre-liftoff of a Body From a Solid Surface; 2.4 Viscous-Inviscid Effects; 3 Skimming by a Smooth Body; 3.1 Impact Model |
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3.2 Linearised Impact Model and Rapid Transition to Planing Motion3.3 Planing Model; 3.4 Linearised Planing Model; 4 Post-liftoff and Fly-Away of a Body from a Surface; 4.1 Governing Equations and the Parameters; 4.2 Small-Time Behaviour; 4.3 Lift-Off Criterion; 4.4 Large-Time Behaviour; 4.5 Summary; 5 Many Bodies in Slightly Viscous Fluid; 5.1 A Single Plate; 5.2 A Finite Collection of Plates; 5.3 The Case of Two Plates; 6 Further Comments; References; Certain Aspects of Problems with Non Homogeneous Reactions; 1 Introduction; 2 Steady Problems; 3 Evolution Problems |
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3.1 Lyapunov Functions and Stability4 A Particular Type of Solution: Traveling Waves; 5 A Particular Planar System from Chemical Reactors; 6 Final Comments; References; A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits; 1 Introduction; 2 Nonlinear RLC Circuits: Homoclinic Case; 3 Nonlinear RLC Circuits: Heteroclinic Case; 4 Weakly Coupled Nonlinear RLC Circuits; 5 General Dimensional IODEs; 6 Blue Sky-Like Catastrophe for Reversible IODEs; 7 Connecting IK Singularities and Impasse Points |
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7.1 Connecting Impasse Points with IK-singularities7.2 Connecting Two Impasse Points; 7.3 Fully Nonlinear RLC Circuits; 8 Conclusions; References; Numerical Solution of Space-Time- Fractional Reaction-Diffusion Equations via the Caputo and Riesz Derivatives; 1 Introduction; 2 Basic Properties and Definitions of Fractional Calculus; 3 The Caputo and Riesz Fractional Derivatives Approximation; 3.1 The Matrix Method; 3.2 The Caputo Derivative Approximation; 3.3 The Riesz Derivative Approximation; 3.4 Two-Dimensional Solution with Laplace and Fourier Transforms; 4 Numerical Experiments |
| Summary |
This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Engineering mathematics.
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Engineering mathematics -- Social aspects
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Engineering mathematics
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| Form |
Electronic book
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| Author |
Smith, F. T. (Frank T.), 1948- editor.
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Dutta, Hemen, 1981- editor.
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Mordeson, John N., editor.
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| ISBN |
9783030122324 |
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3030122328 |
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