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

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ES 202Fluid and Thermal SystemsLecture 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


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

  • First homework set due by 5 pm today at my office


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


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)


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)


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?


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