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USEFUL CONSTANTS
Constant cgs units mks units
6 (speed of light) 3 x 1010 (:In/ 3 x 108 In/sec M-
G (gravitation constant) 7 X 10‘8 dyne—cm2/g2 7 x 10—11 N—m2/kg2
k (Boltzmann’s constant) 1.4 x 10“16 erg/K 1.4 x 10—23 J/K
h (Planck’s constant) 6.6 X 1
APPROXIMATE VALUES OF USEFUL CONSTANTS
Constant
c (speed of light)
G (gravitation constant)
k (Boltzmanns constant)
h (Plancks constant)
mproton
eV (electron Volt)
M (solar mass)
L (solar luminosity)
R (solar radius)
(Stefan-Boltzmann cons)
(Angstrom)
A
k
Unied Engineering
Fluids Problems F3F6
Spring 2004
F3+F4. A symmetric airfoil has a trailing edge ap, with the hinge at xh /c = 0.75, with the
ap set at some small downward deection angle .
a) Dene and sketch the camberline-slope dZ/dx, both versus x and
Unied Engineering
Fluids Problems F10F11
Fall 2003
F10.
a) Determine the streamline shapes of the following 2-D velocity eld (closely related to HW
problem F6).
u = y
v=x
b) Evaluate Du/Dt and Dv/Dt, and determine the pressure gradient p. Assume the
densi
Unied Engineering
Fluids Problems F6-F8
F6.
Fall 2003
Determine the streamline shapes of the follwing 2-D velocity eld.
u=
y
x2 + y 2
v=
x
x2 + y 2
Assuming the density is constant, does this ow obey the mass conservation law?
F7. A pipe of cross-sectiona
Unied Engineering
Fluids Problems F12F14
Fall 2003
F12. For the two ows given by . . .
(x, y) = arctan (y/x)
(x, y) = x2 + y 2
a) Determine the velocity elds, and sketch the streamlines.
b) Determine the volume ow rate through a circle of radius r.
c) Whi