Chapter 4 Kinematics of Fluid Motion 1

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§4.1 The Velocity field 3

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§4.1.1 Eulerian and Lagrangian Flow Description 7

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§4.1.2 One-, Two-, and Three- Dimensional flows 9

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§4.1.3 Steady and Unsteady Flows 11

§4.1.4 Streamlines, Streaklines, and Pathlines 12

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Flow Patten: Streamlines; Streaklines; Pathlines; and Timelines 15

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§4.2 The Acceleration Field 36

§4.2.1 The Material Derivative 37

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§4.3 Control volume and system Representations 42

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§4.4 The Reynolds Transport Theorem. 45

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§4.4.1 Derivation of the Reynolds Transport Theorem 49

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§ Relationship to Material Derivative 59

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Selection of a Control Volume 64

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