es 202 fluid and thermal systems lecture 4 pressure distributions on submerged surface 12 09 2002 l.
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ES 202 Fluid and Thermal Systems Lecture 4: Pressure Distributions on Submerged Surface (12/09/2002). Assignments. Reading: Mechanics: definition of center of mass, moment of inertia Cengel & Turner Section 5-4 ES 201 notes Homework: 10-11, 10-19, 10-37 in Cengel & Turner.

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es 202 fluid and thermal systems lecture 4 pressure distributions on submerged surface 12 09 2002

ES 202Fluid and Thermal SystemsLecture 4:Pressure Distributions on Submerged Surface(12/09/2002)

assignments
Assignments
  • Reading:
    • Mechanics: definition of center of mass, moment of inertia
    • Cengel & Turner Section 5-4
    • ES 201 notes
  • Homework:
    • 10-11, 10-19, 10-37 in Cengel & Turner
road map of lecture 4
Road Map of Lecture 4
  • Announcements
  • Examples and exercises (from first principle to generalization)
    • Force and moment on vertically submerged surface
      • Concept of resultant force, centroid and center of pressure
      • FR = Pavg * Awhere Pavgis measured at the centroid of the submerged surface
      • Center of pressure is located lower than the centroid according to

yp = yc + Ixx,c / yc Awhere yc is the location of centroid and

Ixx,c / yc Ais the downward shift of center of pressure relative to centroid

    • Force and moment on obliquely submerged surface
    • Force and moment on curved surface
      • Horizontal component is the same
      • Vertical component is different according to the weight of fluid that is above surface
announcements
Announcements
  • First homework set due by 5 pm today at my office
quiz on lecture 3
When a fluid is in static equilibrium,

the hydrostatic pressure increases/decreases____________ with depth;

the pressure gradient (rate of change) depends on the ____________ of the fluid.

Something about manometer:

A manometer is a device which measure small pressure difference based on the difference in ____________ between fluid columns

For a given pressure difference, the difference in height between the fluid columns will be greater if a fluid of lower/higher density is used.

The pressure equation:

P2 = P1 +/- r g h

describes the pressure variation in a manometer. The minus (-) sign is used when Point 2 lies above/below Point 1 and vice versa.

Quiz on Lecture 3
slide6

Vertically Submerged Surface

  • Fish tank problem
    • What is the pressure at the bottom of the tank?
    • Sketch the pressure distribution on the side wall?
    • Find the total force on one of the side walls
    • Find the total moment on the side wall about Point A
    • Find the center of pressure (take a first guess at its approximate location)
slide7

Obliquely Submerged Surface

  • Same old fish tank problem

If one of the sides of the fish tank is slightly sloped at 30o, how will the followings be different?

    • Analysis
    • Results (take a first guess before you work out the details)
slide8

Curved Surface

  • Same old fish tank problem

If the slope is replaced by a

    • concave surface
    • convex surface

What do you expect the results to be?