Chapter 3 Videos: Control Volume Analysis of Fluid Flow
Part 1.1: Control Volume Analysis (10:12)
Some terminology and basic definitions that will be used in Chapter 3, dealing with fluid dynamics.
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Some terminology and basic definitions that will be used in Chapter 3, dealing with fluid dynamics.
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Chapter 3 Part 1.1 Introduction (pdf)  
File Size:  2741 kb 
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Part 1.2: Control Volume Analysis (20:00)
An introduction to flow visualization. Streamlines, streaklines and pathlines are discussed.
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An introduction to flow visualization. Streamlines, streaklines and pathlines are discussed.
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Chapter 3 Part 1.2 Introduction (pdf)  
File Size:  3558 kb 
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Part 2: Control Volume Analysis (11:48)
Concepts of volume and mass flow rate (for 1D and general 3D flows) with a simple sample calculation.
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Concepts of volume and mass flow rate (for 1D and general 3D flows) with a simple sample calculation.
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Chapter 3 Part 2 Volume and Mass Flow Rates (pdf)  
File Size:  504 kb 
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Part 3: Control Volume Analysis (24:12)
Derivation of Reynolds Transport Theorem (RTT).
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Derivation of Reynolds Transport Theorem (RTT).
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Chapter 3 Part 3 Reynolds Transport Theorem (pdf)  
File Size:  672 kb 
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Part 4: Control Volume Analysis (16:04)
Derivation of the conservation of mass equation for a control volume (using Reynolds Transport Theorem). This equation is called the "continuity equation". A numerical example is presented for incompressible flow.
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Derivation of the conservation of mass equation for a control volume (using Reynolds Transport Theorem). This equation is called the "continuity equation". A numerical example is presented for incompressible flow.
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Chapter 3 Part 4 The Continuity Equation (pdf)  
File Size:  514 kb 
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Part 5: Control Volume Analysis (22:18)
Derivation of the linear momentum equation for a control volume (using Reynolds Transport Theorem). A numerical example is presented that involves calculating the flowinduced forces on a stationary vane that deflects a flow of water.
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Derivation of the linear momentum equation for a control volume (using Reynolds Transport Theorem). A numerical example is presented that involves calculating the flowinduced forces on a stationary vane that deflects a flow of water.
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Chapter 3 Part 5 Cons. of Linear Momentum (pdf)  
File Size:  566 kb 
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Part 6: Control Volume Analysis (21:16)
Application of the linear momentum equation to the calculation the forces generated by flow through a nozzle. The issue of calculating the net pressure force is discussed, followed by a detailed sample calculation.
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Application of the linear momentum equation to the calculation the forces generated by flow through a nozzle. The issue of calculating the net pressure force is discussed, followed by a detailed sample calculation.
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Chapter 3 Part 6 Forces in a Nozzle (pdf)  
File Size:  572 kb 
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Part 6.1: Control Volume Analysis (19:11)
Solution to a linear momentum problem from a previous final exam.
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Solution to a linear momentum problem from a previous final exam.
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Chapter 3 Part 6.1 Forces in a Piping System (pdf)  
File Size:  1307 kb 
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Part 7: Control Volume Analysis (45:00)
Derivation of the Bernoulli equation for frictionless fluid flow. The limitations of the Bernoulli equation are discussed in detail. The video ends with a sample calculation of the discharge rate from an open tank, using the Bernoulli equation.
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Derivation of the Bernoulli equation for frictionless fluid flow. The limitations of the Bernoulli equation are discussed in detail. The video ends with a sample calculation of the discharge rate from an open tank, using the Bernoulli equation.
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Chapter 3 Part 7 The Bernoulli Equation (pdf)  
File Size:  2385 kb 
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"Bernoulli Effect" Demo #1 (6:27)
Demonstration of the "Bernoulli effect" using two empty pop cans and a drinking straw. The air jet velocity increases between the cans, causing the local pressure to decrease. The low pressure region between the cans draws the two cans together.
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Demonstration of the "Bernoulli effect" using two empty pop cans and a drinking straw. The air jet velocity increases between the cans, causing the local pressure to decrease. The low pressure region between the cans draws the two cans together.
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Chapter 3 Bernoulli Demo #1 (pdf)  
File Size:  514 kb 
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"Bernoulli Effect" Demo #2 (6:18)
Demonstration showing the suspension of a beach ball in the air jet from a leaf blower. The generation of lift (caused by the Bernoulli effect) on an aircraft wing is also discussed.
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Demonstration showing the suspension of a beach ball in the air jet from a leaf blower. The generation of lift (caused by the Bernoulli effect) on an aircraft wing is also discussed.
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Chapter 3 Bernoulli Demo #2 (pdf)  
File Size:  587 kb 
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Part 8: Control Volume Analysis (16:51)
Application of the Bernoulli equation to the measurement of fluid velocity. An example of using a Pitot Tube to measure the air speed in a wind tunnel is solved.
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Application of the Bernoulli equation to the measurement of fluid velocity. An example of using a Pitot Tube to measure the air speed in a wind tunnel is solved.
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Part 9: Control Volume Analysis (19:25)
Application of the Bernoulli equation to industrial measurement of volume flow rates. Venturi, Nozzle and Orifice Plate flow meters are discussed. A numerical example is given for a Venturi flow meter.
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Application of the Bernoulli equation to industrial measurement of volume flow rates. Venturi, Nozzle and Orifice Plate flow meters are discussed. A numerical example is given for a Venturi flow meter.
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Part 10: Control Volume Analysis (35:28)
The general Energy Equation. The Bernoulli equation is extended to include the effects of pumps, turbines and pipe friction. The topics of hydraulic power and pump/turbine efficiency are covered. A sample problem is solved for a system with a hydraulic turbine. This is followed by a discussion of the types of hydraulic turbines that are used for hydroelectric power generation.
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The general Energy Equation. The Bernoulli equation is extended to include the effects of pumps, turbines and pipe friction. The topics of hydraulic power and pump/turbine efficiency are covered. A sample problem is solved for a system with a hydraulic turbine. This is followed by a discussion of the types of hydraulic turbines that are used for hydroelectric power generation.
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Chapter 3 Part 10 The General Energy Equation (pdf)  
File Size:  3158 kb 
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Concept Quiz: Test Your Understanding! (2:32)
Does the average flow velocity increase in an inclined pipe? This is a problem from a past quiz. It demonstrates (and hopefully corrects) a very common misconception. This is an important concept for solving pipe flow problems in engineering fluid mechanics.
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Does the average flow velocity increase in an inclined pipe? This is a problem from a past quiz. It demonstrates (and hopefully corrects) a very common misconception. This is an important concept for solving pipe flow problems in engineering fluid mechanics.
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Part 11: Control Volume Analysis (29:53)
A discussion of the Hydraulic Grade Line and Energy Grade Line. Note: This video will be helpful for understanding Lab 4.
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A discussion of the Hydraulic Grade Line and Energy Grade Line. Note: This video will be helpful for understanding Lab 4.
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Chapter 3 Part 11 Hydraulic and Energy Grade Lines (pdf)  
File Size:  3418 kb 
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Solved Problem: Moving Vane (Linear Momentum) (24:09)
This linear momentum problem involves calculating the force and power generated by a fluid jet impinging upon a moving vane. The analysis requires using relative velocity and a control volume that moves with the vane.
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This linear momentum problem involves calculating the force and power generated by a fluid jet impinging upon a moving vane. The analysis requires using relative velocity and a control volume that moves with the vane.
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Forces on a Moving Vane, Solved Problem (pdf)  
File Size:  178 kb 
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Toronto Metropolitan University