Viscous flows : stretching and shrinking of surfaces / Ahmer Mehmood.
This authored monograph provides a detailed discussion of the boundary layer flow due to a moving plate. The topical focus lies on the 2- and 3-dimensional case, considering axially symmetric and unsteady flows. The author derives a criterion for the self-similar and non-similar flow, and the turbul...
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Full Text (via Springer) |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2017.
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| Series: | Mathematical engineering.
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Table of Contents:
- Preface; Acknowledgements; Contents; List of Figures; List of Tables; Introduction; Essential Fundamental Material; 1 Viscous Flow Due to Moving Continuous Surfaces; 1.1 Sakiadis Flow; 1.2 Stretching Sheet Flow; 1.2.1 Crane's Flow; 1.2.2 Power-Law and Exponential Stretching Velocities; 1.3 Shrinking Sheet Flow; References; 2 Governing Equations; 2.1 Boundary-Layer Equations; 2.1.1 The Boundary-Layer Assumption; 2.1.2 The Pressure Gradient Term; 2.1.3 Boundary-Layer Equations in Cartesian Coordinates; 2.1.4 Boundary-Layer Equations in Cylindrical Coordinates; 2.2 Momentum Integral Equations.
- 2.2.1 In Cartesian Coordinates2.2.2 In Cylindrical Coordinates; References; 3 The Concept of Self-similarity; 3.1 In View of Group Theoretic Approach; 3.2 Physical Meanings; 3.3 General Theory; References; 4 Solution Techniques; 4.1 Series Solution; 4.2 Numerical Methods; 4.2.1 RK Methods/Built-in Packages; 4.2.2 Keller's Box Method; 4.3 Integral Methods; References; Self-similar Flows; 5 The Criterion of Self-similarity for Wall Velocities; 5.1 Two-Dimensional Flow; 5.2 Three-Dimensional Flow; 5.3 Axially Symmetric Flow; 5.3.1 Moving Cylinder; 5.3.2 Radial Motion of Flexible Disk.
- 5.4 Restriction on Wall Suction/InjectionReferences; 6 Viscous Flow Due to Accelerated/Decelerated Stretching Surfaces; 6.1 Two-Dimensional Case; 6.2 Three-Dimensional Case; 6.3 Axially Symmetric Case; 6.3.1 Continuous Stretching Cylinder; 6.3.2 Radially Stretching Disk; 6.4 Surface Texture; References; 7 Viscous Flow Due to the Shrinking Surfaces; 7.1 An Overview of Existing Literature; 7.2 Erroneousness of the Existing Shrinking Sheet Results; 7.3 Accelerated/Decelerated Shrinking Wall Velocities; 7.4 Correct Self-similar Formulation.
- 7.5 Viscous Flow Due to an Accelerated/Decelerated Shrinking Sheet7.6 Axially Symmetric Flow; References; 8 Unsteady Flow Due to the Stretching/Shrinking Surfaces; 8.1 Criterion of Self-similarity; 8.1.1 Two-Dimensional Case; 8.1.2 Axially Symmetric Case; 8.2 Two-Dimensional Unsteady Self-similar Flow; 8.2.1 Stretching Sheet Flow; 8.2.2 Shrinking Sheet Flow; 8.3 Axially Symmetric Unsteady Self-similar Flow; 8.3.1 The Cylinder Case; 8.3.2 The Disk Case; Reference; Non-similar Flows; 9 Two-Dimensional Non-similar Flows; 9.1 Non-similar Governing Equations.
- 9.2 Accelerated/Decelerated Non-similar FlowsReference; 10 Axially Symmetric Non-similar Flows; 10.1 Governing Equations; 10.2 The Cylinder Case; 10.2.1 Sakiadis Flow; 10.2.2 Accelerated/Decelerated Flow; 10.3 The Disk Case; References; 11 Time-Dependent Non-similarity; 11.1 Two-Dimensional Unsteady Non-similar Flows; 11.1.1 Oscillatory Stretching of the Sheet; 11.2 Axially Symmetric Unsteady Non-similar Flows; 11.2.1 The Case of Oscillatory Stretching; References; Turbulent Flows; 12 Turbulent Flow Due to Moving Continuous Surfaces; 12.1 Turbulent Sakiadis Flow; 12.1.1 Two-Dimensional Case.