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CE 230Engineering Fluid Mechanics

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R is the gas constant with units of m.N/kg K or ft lb/slug R. See appendix. Example 2.6 ... in a tea kettle one near the sea and the other on top of a very ... – PowerPoint PPT presentation

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Title: CE 230Engineering Fluid Mechanics


1
CE 230-Engineering Fluid Mechanics
  • Lecture 23
  • Fluid properties (1)

2
Units
  • Basic Units versus derived units
  • SI versus Traditional units
  • prefixes

3
What are the units of?
  • Mass
  • Length
  • Time
  • Temperature
  • Weight
  • Pressure
  • Energy
  • Power

4
Intensive versus Extensive properties
  • Density
  • Specific weight
  • Specific gravity
  • Tables A.2-A.4 at the end of the text
  • Gases, air, water, and some liquids

5
Example
  • What is the weight of a 1 cubic meter of water
    if the temperature is 5 C?
  • What if the temperature was 90 C? or 0 C?

6
terminology
  • Incompressible fluid
  • Compressible fluid
  • Ideal fluid
  • Perfect gas?

7
Perfect gas law
  • P?RT
  • R is the gas constant with units of m.N/kg K
    or ft lb/slug R
  • See appendix

8
Example 2.6
  • What is the weight of a 10 cubic feet tank
    containing oxygen if it is pressurized to 385.3
    psi and at a temperature of 70 F?
  • answer 22.5 lb

9
Elasticity Bulk modulus
  • The needed pressure change needed to reduce the
    volume of a fluid
  • Ev -?p/(?V/V)
  • What does it mean if Ev is very big?
  • For water Ev 2.2 GN/m2

10
Problem 2.46
  • What pressure increase must be applied to water
    to reduce its volume by 1?

11
Surface tension
  • Due to unbalanced molecular forces at interface
    of two fluids. Force /length
  • For water-air surface s0.073 N/m
  • This accounts for capillary rise

12
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13
Estimate the capillary rise of water in a tube of
diameter d.
14
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15
Applications of surface tension
  • Pressure in a droplet
  • Pressure in a soap bubble
  • Cylinder supported by surface tension
  • Ring being pulled out of liquid
  • Capillary rise between two plates

16
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17
Vapor pressure
  • The pressure at which a liquid boils
  • Function of T (direct proportion)
  • At what pressure does water boil?
  • Table A.5

18
Example
  • Consider two cases of water boiling in a tea
    kettle one near the sea and the other on top of a
    very high mountain.
  • a) compare the value of vapor pressure for both
    cases
  • b) compare the temperature for both cases
  • does this make sense?
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