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Elementary Mechanics of Fluids

Elementary Mechanics of Fluids. CE 319 F Daene McKinney. Description of Motion. Fluid Motion. Two ways to describe fluid motion Lagrangian Follow particles around Eularian Watch fluid pass by a point or an entire region Flow pattern Streamlines – velocity is tangent to them.

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Elementary Mechanics of Fluids

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  1. Elementary Mechanics of Fluids CE 319 F Daene McKinney Description of Motion

  2. Fluid Motion • Two ways to describe fluid motion • Lagrangian • Follow particles around • Eularian • Watch fluid pass by a point or an entire region • Flow pattern • Streamlines – velocity is tangent to them

  3. Flow Patterns • Uniform flow • Non-uniform flow • Steady flow • Unsteady flow

  4. Example (4.1) • Valve at C is opened slowly • Classify the flow at B while valve is opened • Classify the flow at A

  5. HW (4.2)

  6. Laminar vs Turbulent Flow • Laminar • Turbulent

  7. Flow Rate • Volume rate of flow • Constant velocity over cross-section • Variable velocity • Mass flow rate

  8. Examples • Prob. 4.17 Discharge in a 2-cm pipe is 0.03 m3/s. What is the average velocity? • Prob. 4.20 A pipe whose diameter is 8 cm transports air with a temp. of 20oC and pressure of 200 kPa abs. At 20 m/s. What is the mass flow rate?

  9. Flow Rate • Only x-direction component of velocity (u) contributes to flow through cross-section

  10. Example (4.24) • Find:

  11. Example (4.28) • Find:

  12. HW (4.30)

  13. Acceleration • Acceleration = rate of change of velocity • Components: • Normal – changing direction • Tangential – changing speed

  14. Convective Local Acceleration • Cartesian coordinates • HW (4.43)

  15. Example (4.49)

  16. HW (4.50 & 4.51)

  17. Example

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