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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.
YouTube Video
Some terminology and basic definitions that will be used in Chapter 3, dealing with fluid dynamics.
YouTube Video
| Chapter 3 Part 1.1 Introduction (pdf) |
Part 1.2: Control Volume Analysis (20:00)
An introduction to flow visualization. Streamlines, streaklines and pathlines are discussed.
YouTube Video
An introduction to flow visualization. Streamlines, streaklines and pathlines are discussed.
YouTube Video
| Chapter 3 Part 1.2 Introduction (pdf) |
Part 2: Control Volume Analysis (11:48)
Concepts of volume and mass flow rate (for 1-D and general 3-D flows) with a simple sample calculation.
YouTube Video
Concepts of volume and mass flow rate (for 1-D and general 3-D flows) with a simple sample calculation.
YouTube Video
| Chapter 3 Part 2 Volume and Mass Flow Rates (pdf) |
Part 3: Control Volume Analysis (24:12)
Derivation of Reynolds Transport Theorem (RTT).
YouTube Video
Derivation of Reynolds Transport Theorem (RTT).
YouTube Video
| Chapter 3 Part 3 Reynolds Transport Theorem (pdf) |
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.
YouTube Video
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.
YouTube Video
| Chapter 3 Part 4 The Continuity Equation (pdf) |
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 flow-induced forces on a stationary vane that deflects a flow of water.
YouTube Video
Derivation of the linear momentum equation for a control volume (using Reynolds Transport Theorem). A numerical example is presented that involves calculating the flow-induced forces on a stationary vane that deflects a flow of water.
YouTube Video
| Chapter 3 Part 5 Cons. of Linear Momentum (pdf) |
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.
YouTube Video
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.
YouTube Video
| Chapter 3 Part 6 Forces in a Nozzle (pdf) |
Part 6.1: Control Volume Analysis (19:11)
Solution to a linear momentum problem from a previous final exam.
YouTube Video
Solution to a linear momentum problem from a previous final exam.
YouTube Video
| Chapter 3 Part 6.1 Forces in a Piping System (pdf) |
Part 7: Control Volume Analysis (19:28)
An introduction to Bernoulli's equation. The Bernoulli equation for frictionless fluid flow is derived and the practical limitations of the Bernoulli equation are discussed.
YouTube Video
An introduction to Bernoulli's equation. The Bernoulli equation for frictionless fluid flow is derived and the practical limitations of the Bernoulli equation are discussed.
YouTube Video
| Chapter 3 Part 7 Introduction to the Bernoulli Equation (pdf)f |
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Example: Using Bernoulli's to Calculate a Tank Discharge Rate (9:32)
A simple numerical example of using Bernoulli's equation to calculation of the discharge volume flow rate from an open tank. YouTube Video |
| Chapter 3 Bernoulli Equation Solved Example (pdf) |
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Example: Using Bernoulli's Equation to Calculate the Pressure Change in a Tube (7:38)
A numerical example of using Bernoulli's equation to calculation the pressure change in a tube. This problem also revisits the issue of gage versus absolute pressure. YouTube Video | ||
"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.
YouTube Video
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.
YouTube Video
| Chapter 3 Bernoulli Demo #1 (pdf) |
"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.
YouTube Video
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.
YouTube Video
| Chapter 3 Bernoulli Demo #2 (pdf) |
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.
YouTube Video
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.
YouTube Video
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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.
YouTube Video
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.
YouTube Video
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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.
YouTube Video
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.
YouTube Video
| Chapter 3 Part 10 The General Energy Equation (pdf) |
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.
YouTube Video
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.
YouTube Video
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.
YouTube Video
A discussion of the Hydraulic Grade Line and Energy Grade Line. Note: This video will be helpful for understanding Lab 4.
YouTube Video
| Chapter 3 Part 11 Hydraulic and Energy Grade Lines (pdf) |
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.
YouTube Video
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.
YouTube Video
| Forces on a Moving Vane, Solved Problem (pdf) |
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