| Description |
1 online resource (xv, 300 pages) : illustrations |
| Series |
Mathematical engineering, 2192-4732 |
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Mathematical engineering.
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| Contents |
Preface; Acknowledgements; Contents; Acronyms; Part I Fluid Mechanics; 1 The Equations of Change in Fluid Mechanics and Their Analytical Solutions; 1.1 The Equations of Change in Fluid Mechanics; 1.2 Exact Solutions of the Equations of Change; 1.2.1 Hydraulically Developed Flow; 1.2.2 Further Exact Solutions; 1.3 Approaches by Solving Simplified Equations of Change; 1.3.1 Slender Flow Fields with Negligible Inertial Influence -- The Lubrication Approximation; 1.3.2 Slender Flow Fields at High Reynolds Number -- The Boundary-Layer Approximation; 1.3.3 Quasi One-Dimensional Flow |
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1.3.4 Quasi One-Dimensional Flow in a Slender Liquid Jet1.3.5 Quasi One-Dimensional Flow in a Boundary Layer; References; 2 The Equation for the Stokesian Stream Function and Its Solutions; 2.1 The Equation for the Stream Function in Cartesian Coordinates; 2.1.1 Linear, Unsteady Flow; 2.1.2 Linear, Steady Flow; 2.1.3 Nonlinear, Steady Flow with Constant Pressure; 2.2 The Equation for the Stream Function in Cylindrical Coordinates; 2.2.1 Polar, Linear, Unsteady Flow; 2.2.2 Polar, Linear, Steady Flow; 2.2.3 Polar, Nonlinear, Steady Flow; 2.2.4 Axisymmetric, Linear, Unsteady Flow |
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2.2.5 Axisymmetric, Linear, Steady Flow2.2.6 Axisymmetric, Nonlinear, Steady Flow with Constant Pressure; 2.3 The Equation for the Stream Function in Spherical Coordinates; 2.3.1 Linear, Unsteady Flow; 2.3.2 Linear, Steady Flow; 2.3.3 Nonlinear, Steady Flow with Constant Pressure; References; 3 Laminar Two-Dimensional Flow; 3.1 Steady Flow; 3.1.1 Channel and Pipe Flows; 3.1.2 Flow Between Coaxial Spinning Cylinders; 3.1.3 Flow Outside a Spinning Sphere; 3.1.4 Duct Flow with Injection and Suction Through the Walls; 3.2 Unsteady Flow; 3.2.1 The Two Stokesian Problems |
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3.2.2 Flow Outside a Cylinder in Oscillatory Spinning Motion3.2.3 Starting and Fading Plane Couette Flow; 3.2.4 Starting and Fading Channel and Pipe Flows; 3.2.5 Pulsating Pipe Flow; 3.2.6 Onset of Flow Between Two Concentric Spherical Shells; References; 4 Lubrication Flow; 4.1 Lubrication Approximation; 4.2 Plane Slide Bearing; 4.3 Pressure-Driven Flow Through a Plane Gap; 4.4 Cylindrical Bearing; 4.5 Pressure-Driven Flow Through a Cylindrical Gap; 4.6 Pressure-Driven Flow Through a Spherical Gap; 4.7 Wire Coating -- Extended Lubrication Theory; References; 5 Boundary-Layer Flow |
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5.1 Laminar Flow Along a Flat Plate5.2 Flow Along a Slender Body of Revolution; 5.3 Plane Submerged Free Jet; 5.4 Axisymmetric Submerged Free Jet; 5.5 Plane Free Shear Layer; 5.6 Wake Behind a Flat Plate; References; 6 Flows with Interfaces; 6.1 Linear Temporal Instability of a Plane Liquid Sheet; 6.2 Linear Temporal Capillary Instability of a Liquid Jet; 6.3 Linear Spatial Capillary Instability of a Liquid Jet; 6.4 Linear Oscillations of Drops and Bubbles; 6.4.1 Linear Shape Oscillations of a Viscoelastic Drop; 6.4.2 Linear Shape Oscillations of a Bubble in a Viscoelastic Liquid |
| Summary |
This book provides analytical solutions to a number of classical problems in transport processes, i.e. in fluid mechanics, heat and mass transfer. Expanding computing power and more efficient numerical methods have increased the importance of computational tools. However, the interpretation of these results is often difficult and the computational results need to be tested against the analytical results, making analytical solutions a valuable commodity. Furthermore, analytical solutions for transport processes provide a much deeper understanding of the physical phenomena involved in a given process than do corresponding numerical solutions. Though this book primarily addresses the needs of researchers and practitioners, it may also be beneficial for graduate students just entering the field. |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed August 3, 2016) |
| Subject |
Transport theory.
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SCIENCE -- Energy.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Physics -- General.
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Transport theory
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| Form |
Electronic book
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| ISBN |
9783662514238 |
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3662514230 |
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