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Lecture 29 of 85

The Differential Equation of Mass Conservation

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Section 1: Differential Relations for Fluid Flow34 videos

The Acceleration Field of a Fluid

26m

Example 6

10m

The Stream Function

21m

Example 7

25m

The Stream Function in Cylindrical Coordinates

21m

Vorticity and Irrotationality

29m

Frictionless Irrotational Flow

37m

Velocity Potential

18m

Example 8

44m

Example 9

8m

Example 10

11m

Example 1

6m

Potential Flow Uniform Flow

15m

Potential Flow Source and Sink

15m

Potential Flow Vortex

59m

Potential Flow Doublet

1h 1m

Example 11

7m

Example 12

6m

Example 13

29m

Superposition of Potential Flows Source in a Uniform Stream—Half-Body

44m

Example 14

25m

Superposition of Potential Flows Rankine Ovals

52m

Example 2

6m

Superposition of Potential Flows Flow Around a Cylinder

1h 10m

Superposition of Potential Flows Flow Around a Rotating Cylinder

1h 1m

Example 15

11m

Example 16

16m

Example 17

16m

The Differential Equation of Mass Conservation

21mNow Playing

Example 3

2m

Example 4

3m

Linear and Shear Strain Rates

43m

Navier-Stokes Equation

47m

Example 5

41m
Section 2: Approximate Solutions of the Navier-Stokes Equation6 videos

Couette Flow between a Fixed and a Moving Plate

12m

Flow Due to Pressure Gradient between Two Fixed Plates

12m

Example 1

28m

Fully Developed Laminar Pipe Flow

1h 2m

Example 2

7m

Flow between Long Concentric Cylinders

25m
Section 3: Dimensional Analysis and Similarity5 videos

Introduction

29m

The Pi Theorem

29m

Example 1

15m

Example 2

39m

Example 3

27m
Section 4: Viscous Flow in Ducts20 videos

Reynolds Number Regimes

26m

Minor Losses

1h 17m

Example 5

51m

Example 6

25m

Piping Systems with Pumps and Turbines

23m

Series and Parallel Pipes

7m

Three-Reservoir Junction

10m

Example 7

1h

Example 8

42m

Example 9

42m

Pipe Flowrate Measurement

23m

The Entrance Region

16m

Example 10

23m

Laminar Flow in Pipes

11m

Example 1

10m

Turbulent Velocity Profile

22m

The Moody Chart

43m

Example 2

18m

Example 3

19m

Example 4

10m
Section 5: Flow Past Immersed Bodies20 videos

Boundary Layer on a Flat Plate

13m

Example 1

27m

Example 2

24m

Example 3

24m

Boundary Layers with Pressure Gradients

57m

Drag Coefficient Data for Various Objects

50m

Flow over an Airfoil Generation of Lift

1h 16m

Example 4

18m

Example 5

7m

Example 6

20m

Example 7

19m

Momentum Integral Estimates Boundary Layer Thickness

41m

Example 8

17m

Momentum Integral Estimates Drag Force and Drag Coefficient

18m

Momentum Integral Estimates Displacement Thickness

19m

The Boundary Layer Equations

41m

Blasius Solution PDE to ODE

43m

Blasius Solution The Numerical Shooting Method

26m

Blasius Solution Displacement Thickness, Drag and Drag Coefficient

13m

Turbulent Boundary Layer Flow

50m