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1.060

Fluid Mechanics

3-2-7 units · Undergraduate

Mechanics principles for incompressible fluids. Review of hydrostatics. Conservation of mass, momentum and energy in fluid mechanics. Flow nets, velocity distributions in laminar and turbulent flows, groundwater flows. Momentum and energy principles in hydraulics, with emphasis on open channel flow and hydraulic structures. Drag and lift forces. Analysis of pipe systems, pumps and turbines. Gradually varied flow in open channels, significance of the Froude number, backwater curves and kinematic waves. Application of principles through open-ended studio exercises.

Spring 2006 · Engineering Mechanics II

Topics

  • Subject Outline, Fluid Concepts, The Continuum Hypothesis
  • Review of Hydrostatics and Dimensional Analysis
  • Description of Fluid Flow, Conservation Laws
  • Hydrostatics, Forces on Plane and Curved Surfaces
  • Stability of Floating Bodies
  • Manometry, Stability of Dams and Gates
  • Mass and Volume Conservation
  • Stream Function, Velocity Potential, Flownet Construction
  • The Bernoulli Equation for Ideal Fluids
  • Flownet and Streamline Construction
  • Application of Mass Conservation and Bernoulli
  • Conservation Laws for Finite Control Volumes, Reynolds Transport Theorem
  • Conservation of Momentum for Finite Control Volumes
  • Bernoulli Experiment
  • Applications of Momentum
  • The Bernoulli Equation from Energy Considerations
  • Special Forms and Interpretations of the Bernoulli Equation
  • Laminar Flow, Shear Stresses in Fluids
  • Velocity Distribution in Laminar Flows, Turbulence, The Reynolds Number
  • Application of Conservation Principles for Finite Control
  • Pipe Friction Losses, Moody Diagram, Minor Losses
  • Pipe Flow Analysis
  • Pump Specification and Requirements
  • Pipe Flow Demonstration and Analysis
  • Turbines and Windmills
  • Drag Forces on Immersed Bodies
  • Lift Forces on Immersed Bodies
  • Dynamic Response of a Floating Body
  • Fluid Mechanics of Pitching
  • Uniform Open Channel Flow
  • Uniform Open Channel Flow Computations
  • Open Channel Flow Computations
  • Bernoulli Principle in Open Channel Flow, Specific Head-Depth Diagram
  • Application of Specific Head in Open Channel Flow, Super- and Sub-critical Flows
  • Momentum Principle in Open Channel Flow
  • Application of Momentum Principle in Open Channel Flow
  • Application of Energy and Momentum Principles in Open Channel Flows
  • Gradually Varied Open Channel Flow
  • Gradually Varied Flow Profiles
  • Discharge From Lakes and Under Gates
  • Determination of Gradually Varied Flow Profiles
  • Further Examples of Gradually Varied Flow
  • Unsteady Flow in Open Channels, Kinematic Waves
  • Flood Routing
  • Differential Analysis of Fluid Flow, Navier-Stokes Equations

Readings

  • The main textbook for this course is:
    Listed reading
  • Young, Donald F., Bruce R. Munson, and Theodore H. Okiishi. A Brief Introduction to Fluid Mechanics . 3rd ed. New York, NY: Wiley, 2003. ISBN: 0471457574.
    Listed reading
  • Readings assignments in the main textbook are shown in this table.
    Listed reading
  • SES #: L1 · TOPICS: Subject Outline, Fluid Concepts, The Continuum Hypothesis · READINGS: 1.1-1.6
    Reading assignment
  • SES #: L2 · TOPICS: Description of Fluid Flow, Conservation Laws · READINGS: 1.7-1.9, 4.1-4.2
    Reading assignment
  • SES #: L3 · TOPICS: Hydrostatics, Forces on Plane and Curved Surfaces · READINGS: 2.1-2.3, 2.8-2.10
    Reading assignment
  • SES #: L4 · TOPICS: Manometry, Stability of Dams and Gates · READINGS: 2.4-2.7, 2.11-2.12
    Reading assignment
  • SES #: L5 · TOPICS: Mass and Volume Conservation · READINGS: 5.1, 6.1-6.2
    Reading assignment
  • SES #: L6 · TOPICS: Stream Function, Velocity Potential, Flownet Construction · READINGS: 6.4, 6.5-6.5.1
    Reading assignment
  • SES #: L7 · TOPICS: The Bernoulli Equation for Ideal Fluids · READINGS: 3.1-3.4
    Reading assignment
  • SES #: L8 · TOPICS: Application of Mass Conservation and Bernoulli · READINGS: 3.5-3.6
    Reading assignment
  • SES #: L9 · TOPICS: Conservation Laws for Finite Control Volumes, Reynolds Transport Theorem · READINGS: 4.3-4.4
    Reading assignment
  • SES #: L10 · TOPICS: Conservation of Momentum for Finite Control Volumes · READINGS: 5.2.1
    Reading assignment
  • SES #: L11 · TOPICS: Applications of Momentum · READINGS: 5.2.2
    Reading assignment
  • SES #: L12 · TOPICS: The Bernoulli Equation from Energy Considerations · READINGS: 5.3-5.3.1
    Reading assignment
  • SES #: L13 · TOPICS: Special Forms and Interpretations of the Bernoulli Equation · READINGS: 3.7-3.8, 5.3.2-5.3.4
    Reading assignment
  • SES #: L14 · TOPICS: Laminar Flow, Shear Stresses in Fluids · READINGS: 1.6, 8.1
    Reading assignment
  • SES #: L15 · TOPICS: Velocity Distribution in Laminar Flows, Turbulence, The Reynolds Number · READINGS: 6.9, 8.2-8.3
    Reading assignment
  • SES #: L16 · TOPICS: Pipe Friction Losses, Moody Diagram, Minor Losses · READINGS: 8.4
    Reading assignment
  • SES #: L17 · TOPICS: Pipe Flow Analysis · READINGS: 8.5-8.6
    Reading assignment
  • SES #: L18 · TOPICS: Pump Specification and Requirements · READINGS: 11.1-11.4
    Reading assignment
  • SES #: L19 · TOPICS: Turbines and Windmills · READINGS: 11.6-11.8
    Reading assignment
  • SES #: L20 · TOPICS: Drag Forces on Immersed Bodies · READINGS: 9.1-9.3
    Reading assignment
  • SES #: L21 · TOPICS: Lift Forces on Immersed Bodies · READINGS: 9.4
    Reading assignment
  • SES #: L22 · TOPICS: Fluid Mechanics of Pitching · READINGS: 10.1, 10.4-10.4.2
    Reading assignment
  • SES #: L23 · TOPICS: Uniform Open Channel Flow · READINGS: 10.4.3
    Reading assignment
  • SES #: L24 · TOPICS: Uniform Open Channel Flow Computations · READINGS: 10.2
    Reading assignment
  • SES #: L25 · TOPICS: Bernoulli Principle in Open Channel Flow, Specific Head-Depth Diagram · READINGS: 10.3
    Reading assignment
  • SES #: L26 · TOPICS: Application of Specific Head in Open Channel Flow, Super- and Sub-critical Flows · READINGS: 10.6.2-10.6.4
    Reading assignment
  • SES #: L27 · TOPICS: Momentum Principle in Open Channel Flow · READINGS: 10.6.1
    Reading assignment
  • SES #: L28 · TOPICS: Application of Momentum Principle in Open Channel Flow · READINGS: Class notes
    Reading assignment
  • SES #: L29 · TOPICS: Gradually Varied Open Channel Flow · READINGS: 10.5
    Reading assignment
  • SES #: L30 · TOPICS: Gradually Varied Flow Profiles · READINGS: Class notes
    Reading assignment
  • SES #: L31 · TOPICS: Discharge From Lakes and Under Gates · READINGS: Class notes
    Reading assignment
  • SES #: L32 · TOPICS: Further Examples of Gradually Varied Flow · READINGS: Class notes
    Reading assignment
  • SES #: L33 · TOPICS: Unsteady Flow in Open Channels, Kinematic Waves · READINGS: Class notes
    Reading assignment
  • SES #: L34 · TOPICS: Flood Routing · READINGS: 6.3, 6.8
    Reading assignment
  • SES #: L35-L36 · TOPICS: Differential Analysis of Fluid Flow, Navier-Stokes Equations · READINGS: 8.3
    Reading assignment

Prerequisites & course information

Prereq: Calculus II (GIR) , Physics II (GIR) , and 18.03 U (Spring) 3-2-7 units

Sources