EME 303 F LUID MECHANICS SUMMARIZED EQUATIONS AND CONCEPTS ...

EME 303 - FLUID MECHANICS

SUMMARIZED EQUATIONS AND CONCEPTS Some Useful Conversion Factors

Temperature: Force:

Mass: Density:

! water

Pressure:

Work, energy: Power:

SI

BGS

EE

K =o C + 273.15 o R =o F + 459.67 o R =o F + 459.67 1N = (1kg)(1m / s2) 1lb = (1slug)(1 ft / s2)1lbf = (1lbm)(32.2 ft / s2)

kg

slug

lbm

1 kg / m3

0.00194 slug / ft3 0.06243 lbm / ft3

1000kg / m3

1.94slugs / ft3

62.4lbm / ft3

1Pa = 1N / m2 0.0209 lb / ft2

0.0209 lbf / ft2

1J = 1N.m 1W = 1N.m / s

1 ft.lb = 778.2Btu -- 1hp = 550 ft.lb / s --

General [Topic:1]

F = ma

or

!"

F a # F = m a ##$

#

x y

# ##% #

!"

# ##$ #

x y

# ##% #

F # #

#& z #'

a# #

#& z #'

p

=

!

RT

" ##$

Isothermal

:

p !

=

const.

##% Isentropic

:

p !k

= const.

! = ? du ; dy

"

=

? #

Ev

=

!

d

dp V/V

=

d

dp "/

"

h

=

2! cos" #R

!

[1:3] Fluid Properties

Recap

Definitions Dimensional homogeneity Fluid properties

Mass and Weight M = V ;W = Mg

Equations of State p = RT

Compressibility

Ev

=

- dp dV / V0

=

+ dp d / 0

Outline

Wave Speeds Viscosity

c = gy or Ev /



=

?

vx y

Vapor pressure (airfoil)

Surface tension (vinometer)

Topic 2 Pressure

Fluid pressure at a point Incompressible (water) Compressible (atmosphere)

EME 303 Fluid Mechanics



? 2013 Derek Elsworth

33!

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