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Integral Approach to the Control Volume analysis of Fluid Flow
Subsections
Basic Concepts
Velocity Field
Steady and Unsteady Flows
One, Two and Three Dimensional Flows
Flow Description, Streamline, Pathline, Streakline and Timeline
Eularian and Lagrangian approaches
System and Control Volume
Differential and Integral Approach
Integral Equations
Basic Laws for Fluid Flow
conservation of mass
Newton's Second Law of Motion
conservation of energy
Second Law of Thermodynamics
Reynolds Transport Theorem
Derivation of the theorem for one-dimensional flow
Conservation of Mass
Steady Flow
Incompressible Flow
Term V.dA
Application to an one-dimensional control volume
Momentum Equation
Bernoulli Equation
Assumptions
Application of Continuity Equation
Application of Momentum Equation
Terms on the Right Hand Side
Application to moving Control Volumes
Equation for Angular Momentum
Deformable Control Volumes and Control Volumes with non-inertial acceleration
Energy Equation
Energy equation for a one-dimensional control volume
Low Speed Application
Relationship between Energy Equation and Bernoulli Equation
Bernoulli Equation for Aerodynamic Flow
Stagnation Pressure
Energy Grade Line
Kinetic Energy Correction Factor
Applications of Bernoulli Equation
Flow through a Sharp-edged Orifice
Flow Through a Flow Nozzle
Flow through a Venturi Tube
Important Applications of Control Volume Analysis
Measurement of Drag about a Body immersed in a fluid
Jet Impingement on a surface
Force on a Pipe Bend
Froude's Propeller Theory
Continuity Equation
Momentum Equation
Bernoulli Equation
Analysis of a Wind Turbine
Total Pressure Loss through a Sudden Expansion
Continuity Equation
Momentum Equation
Bernoulli Equation
Measurement of Airspeed
(c) Aerospace, Mechanical & Mechatronic Engg. 2005
University of Sydney