Course Overview
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Course Synopsis
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This course is a survey of principal concepts and methods of advanced fluid dynamics, and emphasizes fundamental concepts and problem-solving techniques. Topics to be covered include fluid properties, fluid statics, fluid kinematics, control volume analysis, dimensional analysis, internal flows (pipe flows), differential analysis (including approximations such as creeping flow, potential flow, and boundary layers), and external flows (lift and drag); use of differential and finite control volume analysis with continuity, momentum, and energy equations, You will acquire an understanding of the essential theoretical basis of the fluid mechanic sciences and their application to a range of problems of relevance to practical engineering.
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Course Learning Outcomes
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On successful completion of this course students will be able to:
- Demonstrate their understanding of the basic principles of static and fluid systems.
- Explain the fundamental properties of fluids, including viscosity, Newtonian and Non-Newtonian rheology, and viscoelasticity.
- Grasp the basic ideas of turbulence and knowledge of laminar and turbulent boundary layer fundamentals.
- Understand the dynamics of fluid flows and the governing non-dimensional parameters.
- State the conservation principles of mass, linear momentum, and energy for fluid flow
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Course Calendar
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2
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Examples of Fluid Dynamics:1
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3
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Examples of Fluid Dynamics:2
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4
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Examples of Fluid Dynamics:3
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5
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Examples of Fluid Dynamics:4
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6
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Examples of Fluid Dynamics:5
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7
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Application Of Fluid Dynamics
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8
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Introduction And Basic Concepts:1
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9
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Introduction And Basic Concepts:2
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10
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PRESSURE AND FLUID STATICS
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12
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MASS, BERNOULLI, AND ENERGY EQUATIONS
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13
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MOMENTUM ANALYSIS OF FLOW SYSTEMS
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14
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DIMENSIONAL ANALYSIS AND MODELING
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16
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DIFFERENTIAL ANALYSIS OF FLUID FLOW:1
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17
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DIFFERENTIAL ANALYSIS OF FLUID FLOW:2
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18
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DIFFERENTIAL ANALYSIS OF FLUID FLOW:3
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19
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APPROXIMATE SOLUTION OF THE NAVIER-STOKES EQUATION:1
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20
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APPROXIMATE SOLUTION OF THE NAVIER-STOKES EQUATION:2
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21
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FLOW OVER BODIES: DRAG AND LIFT
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22
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learning Outcomes (of the course)
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23
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RECOMMENDED TEXT BOOKS
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24
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Introduction of Advanced Fluid Dynamics
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26
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Application Areas of Fluid Mechanics
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28
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A BRIEF HISTORY OF FLUID MECHANICS:1
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29
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A BRIEF HISTORY OF FLUID MECHANICS:2
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30
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A BRIEF HISTORY OF FLUID MECHANICS:3
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31
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CLASSIFICATION OF FLUID FLOWS
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32
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Internal vs External Regions of Flow
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33
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Compressible versus Incompressible Flow
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34
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Laminar versus Turbulent Flow
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35
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Steady versus Unsteady Flow:1
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36
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Steady versus Unsteady Flow:2
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37
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One-, Two-, and Three-Dimensional Flows:1
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38
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One-, Two-, and Three-Dimensional Flows:2
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39
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SYSTEM AND CONTROL VOLUME:1
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40
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SYSTEM AND CONTROL VOLUME:2
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41
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IMPORTANCE OF DIMENSIONS AND UNITS
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42
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ACCURACY, PRESSION AND SIGNIFICANT DIGITS
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45
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DENSITY AND SPECIFIC GRAVITY
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46
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VAPOR PRESSURE AND CAVITATION:1
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47
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VAPOR PRESSURE AND CAVITATION:2
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52
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SURFACE TENSION AND CAPILLARY EFFECT:1
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53
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SURFACE TENSION AND CAPILLARY EFFECT:2
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55
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Variation of Pressure with Depth:1
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56
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Variation of Pressure with Depth:2
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57
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Variation of Pressure With Depth:3
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60
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The Barometer And Atmospheric Pressure
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61
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Buoyancy And Stability:1
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62
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Buoyancy And Stability:2
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63
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Stability of Immersed and Floating Bodies
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64
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Fluid Kinematics: An Overview
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65
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Lagrangian And Eulerian Descriptions:1
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66
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Lagrangian And Eulerian Descriptions:2
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67
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Lagrangian And Eulerian Descriptions:3
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70
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Acceleration Field and Material Derivative
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74
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Streaklines and comparison
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78
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Rate of Translation and Rotation
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80
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Discussion of Shear Strain Rate
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83
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Example of steady two dimensional velocity field
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84
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A Steady Two-Dimensional Velocity Field
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86
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Examples of Accelaration Field
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88
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Material Derivative Note from Example 1:1
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89
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Material Derivative Note from Example 1 :2
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90
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Homework Related Exercise
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91
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Vorticity and Rotationabilty
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92
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Vorticity and Rotationabilty
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93
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Comparison of Two Circular Flows
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94
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The Reynolds Transport Theorem
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95
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Application of Leibnitz Theorem
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106
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Mass , Bernoulli And Energy Equations
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107
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The Linear Momentum Equation
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108
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Conservation of Mass:Mass and Volume Flow Rates
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109
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Mass and Volume Flow Rates
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111
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Derivation of Bernoulli Equation:1
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112
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Derivation of Bernoulli Equation:2
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113
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Force Balance across Streamlines
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114
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Static, Dynamic, and Stagnation Pressures
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115
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Limitations on the Use of the Bernoulli Equation
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116
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Hydraulic Grade Line (HGL) and Energy Grade Line (EGL)
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118
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Applications of Bernoulli’s Principle:1
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119
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Applications of Bernoulli’s Principle:2
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120
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Applications of Bernoulli’s Principle:3
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121
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Applications of Bernoulli’s Principle:4
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122
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Applications of Bernoulli’s Principle:5
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123
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Applications of Bernoulli’s Principle:6
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124
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Applications of Bernoulli’s Principle:7
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125
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Newton’s Law’s of Motion:1
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126
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Newton’s Law’s of Motion:2
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127
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Newton’s Law’s of Motion:3
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128
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Forces Acting On A Control Volume:1
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129
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Forces Acting On A Control Volume:2
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130
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Forces Acting On A Control Volume:3
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131
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The Linear Momentum Equations
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132
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Momentum-Flux Correction Factor:1
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133
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Momentum-Flux Correction Factor:2
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134
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Momentum-Flux Correction Factor:3
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135
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Flow with No External Forces:1
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136
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Flow with No External Forces:2
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137
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Flow with No External Forces:3
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138
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Flow with No External Forces:4
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139
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Flow with No External Forces:5
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140
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Flow with No External Forces:6
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141
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Review of Rotational Motion And Angular Momentum
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142
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The Angular Momentum Equation:1
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143
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The Angular Momentum Equation:2
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144
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The Angular Momentum Equation:3
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145
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Radial-Flow Devices:1
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146
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Radial-Flow Devices:2
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148
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Dimensional Analysis Background
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151
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Dimensions And Units:2
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152
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DIMENSIONAL HOMOGENEITY
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153
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Non Dimensionalisation of Equations:1
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154
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Non Dimensionalisation of Equations:2
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155
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Dimensional variables
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156
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Nondimensional (or dimensionless) variables:
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157
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Non Dimensionalisation Of Equations:3
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158
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Examples of Non Dimensionalisation of Equations
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159
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Non Dimensionalisation of Equations:4
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160
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DIMENSIONAL ANALYSIS AND SIMILARITY:1
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161
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DIMENSIONAL ANALYSIS AND SIMILARITY:2
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162
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Similarity between model and Pro-type car
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163
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Nondimensionalization of Equations
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164
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Buckingham Pi Theorem
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165
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Differential Analysis of Fluid Flow:Prelimineries
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166
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Differential Analysis of Fluid Flow :Prelimineries
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167
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Differential Analysis of Fluid Flow : Prelimineries
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168
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Derivative of temperature, Total derivative
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170
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Differential Analysis of Fluid Flow : Continuity Equation
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171
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Objectives of Continuity Equation:
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172
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Derivation of Continuity Equation: Using the Divergence Theorem
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173
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THE CONTINUITY EQUATION: Derivation Using an Infinitesimal Control Volume
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174
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CONTINUITY EQUATION: Derivation Using an Infinitesimal Control Volume
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175
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THE CONTINUITY EQUATION: Alternative Form of the Continuity Equation
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176
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Continuity Equation in Cylindrical Coordinates
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177
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Special Cases of the Continuity Equation
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178
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Example of Application of Continuity Equation.
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179
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Examples on application of the continuity equation: Design of a converging duct
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180
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Examples on application of the continuity equation: Two-Dimensional Flow
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181
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Examples on application of the continuity equation: Three-Dimensional Flow
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182
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Example on application of the continuity equation: Two-Dimensional Flow
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183
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Examples on application of the continuity equation: In-compressibility Flow
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184
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The Stream Function in Cartesian Coordinates
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187
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The Stream Function in Cylinderical Coordinates
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188
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The Compressible Stream Function
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189
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The Differential Linear Momentum Equation- Cauchy’s Equation:
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190
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Cauchy’s Equation:Derivation Using the Divergence Theorem
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191
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The Differential Linear Momentum Equation- Cauchy’s Equation
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192
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Cauchy’s Equation: Derivation Using an Infinitesimal Control Volume
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193
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Derivation Using an Infinitesimal Control Volume:1
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194
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Derivation Using an Infinitesimal Control Volume:2
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195
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Derivation Using Newton’s Second Law
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196
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THE NAVIER–STOKES EQUATION
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197
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NAVIER–STOKES EQUATION: Newtonian versus Non-Newtonian Fluids
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198
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Derivation of the Navier–Stokes Equation for Incompressible, Isothermal Flow
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199
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Continuity and Navier–Stokes Equation in Cylinderical Coordinates
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200
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Analysis of Fluid Flow Problems
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201
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Calculation of the Pressure Field for a Known Velocity Field
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202
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Calculating the Pressure Field in Cylindrical Coordinates
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203
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Exact Solutions of the Continuity and Navier–Stokes Equations
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204
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow:1
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205
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow:2
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206
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow::3
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207
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow::4
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208
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow:5
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209
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Couette Flow with an applied Pressure Gradient:1
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210
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Couette Flow with an applied Pressure Gradient:2
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211
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Couette Flow with an applied Pressure Gradient:3
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212
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Couette Flow with an applied Pressure Gradient:4
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213
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow
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214
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Example of Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow:1
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215
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Example of Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow:2
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216
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Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Flow In a Round Pipe– Poiseuile’s flow.
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217
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Fully Developed Flow In a Round Pipe– Poiseuile’s flow :1
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218
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Fully Developed Flow In a Round Pipe– Poiseuile’s flow;2
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219
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Fully Developed Flow In a Round Pipe– Poiseuile’s flow :3
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220
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Sudden Motion of an Infinite Plate;1
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221
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Sudden Motion of an Infinite Plate ;2
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222
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Sudden Motion of an Infinite Plate:3
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223
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Example of Sudden Motion of an Infinite Plate.
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224
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Differential Analysis of Biofluid Mechanics Flows
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225
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Fully Developed Flow in a Round Pipe with a Simple Blood Viscosity Model
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226
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Fully Developed Flow in Round Pipe with a Simple Blood Viscosity Model
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228
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Boundary Layer Thickness
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229
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Boundary Layer Scaling of Navier-Stokes Equations 1
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230
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Boundary Layer Scaling of Navier-Stokes Equations 2
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231
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Summary of last few Lectures
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232
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Laminar Viscous Flow : Exact Solution
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233
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Flow on an Infinite Plate
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234
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Flow Between Two Infinite Plates
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235
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Flow Between Coaxial Cylinder (Circular Couette Flow)
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236
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Steady Flow Through a Cylindrical Pipe (Hagen-Poiseuille Flow)
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237
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Flow in the Entrance Region of a Circular Pipe
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238
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Nonsteady Unidirectional Flow
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239
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Stokes Problems: Impulsive Motion of an Infinite Plate
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240
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Stokes Problems: Harmonic Oscillation of an Infinite Plate
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242
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Motion Produced due to a Vortex Filament
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243
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Flow Past a Rigid Sphere 1
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244
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Flow Past a Rigid Sphere 2
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245
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Flow Past a Rigid Sphere 3
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