Unit 1: Fluids - Pressure and Forces

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Density

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11 Terms

1

Density

________ is a positive scalar quantity.

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2

Density

Mass per unit volume of a substance is defined as density.

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3

Buoyancy

If a body is fully or partially immersed in a fluid, it experiences an upward force due to the fluid called buoyant force, and the phenomenon is called buoyancy.

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4

The Volume Flow Rate

It is the volume of fluid that passes through a particular point per unit of time.

f = Av

  • f = volumetric flow rate

  • A = cross-sectional area

  • v = flow velocity v

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5

Bernoulli’s Effect

At comparable heights, the pressure is lower where the flow speed is greater.

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6
<p>Air Flow</p>

Air Flow

The air on the bottom has greater pressure and pushes up on the wing giving the airplane lift force

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7

Pressure

Pressure is defined as the magnitude of the normal force acting per unit surface area.

P = F/A

  • P is pressure

  • F is force

  • A is the area

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8

Pressure units

Pascal (Pa) 1 Pa = 1 N/m^2

Practical units: atm, bar, torr

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9

Hydrostatic pressure

It is the pressure due to the liquid.

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10

Continuity equation

The density of the fluid is constant.

A1V1 = A2V2

  • A1 and A2 (cross-sectional areas)

  • V1 and V2 (flow velocities)

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11

Bernoulli’s Equation (Conservation of energy in liquids)

  • fluid is incompressible.

  • fluid’s viscosity is negligible.

  • fluid is streamlined.

  • the equation is very similar to the conservation of energy with total mechanical energy.

<ul><li><p>fluid is incompressible.</p></li><li><p>fluid’s viscosity is negligible.</p></li><li><p>fluid is streamlined.</p></li><li><p>the equation is very similar to the conservation of energy with total mechanical energy.</p></li></ul>
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