symbol | quantity | english engineering dimensions | force-length-time dimensions | mass-length-time dimensions |
A | area | ft2 | L2 | L2 |
a | wave velocity | ft/sec (fps) | L/T | L/T |
a | linear acceleration | ft/sec2 | L/T2 | L/T2 |
B | bottom width (open channel) | ft | L | L |
b | surface width (open channel) | ft | L | L |
b | span of airfoil | ft | L | L |
C | chezy coefficient | ft½/sec | L½/T | L½/T |
cp | specific heat at constant pressure | ft-lb/lb°R | ||
cv | specific heat at constant volume | ft-lb/lb°R | ||
D | drag force | lb | F | ML/T2 |
d | diameter | ft | L | L |
E | modulus of elasticity | lb/ft2 | F/L2 | M/LT2 |
E | unit energy | ft-lb/lb | L | L |
e | size of roughness | ft | L | L |
F | force | lb | F | ML/T2 |
G | weight flowrate | lb/sec | F/T | ML/T3 |
g | gravitational acceleration | ft/sec2 | L/T2 | L/T2 |
H | total head | ft | L | L |
H | head on weir | ft | L | L |
H | enthalpy | ft-lb/lb | L | L |
h | head or height | ft | L | L |
I | moment of inertia | ft4 | L4 | L4 |
I | internal energy | ft-lb/lb | L | L |
K | coefficient of permeability | ft/sec (fps) | L/T | L/T |
L | lift force | lb | F | ML/T2 |
l | length | ft | L | L |
M | mass | slugs | FT2/L | M |
M | moment | ft-lb | FL | ML2/T2 |
n | manning's roughness coefficient | ft1/6 | L1/6 | L1/6 |
P | power | ft-lb/sec | FL/T | ML2/T3 |
P | perimeter | ft | L | L |
P | weir height | ft | L | L |
p | pressure | lb/ft2 (psf) | F/L2 | M/LT2 |
O | flowrate | ft3/sec (cfs) | L3/T | L3/T |
q | two-dimensional flowrate | ft2/sec (cfs/ft) | L2/T | L2/T |
R | radius | ft | L | L |
R | engineering gas constant | ft-lb/lb°R | ||
Rh | hydraulic radius | ft | L | L |
r | radial distance | ft | L | L |
T | torque | ft-lb | FL | ML2/T2 |
T | absolute temperature | °R | ||
t | temperature | °F | ||
t | time | sec | T | T |
u | velocity | ft/sec (fps) | L/T | L/T |
V | velocity | ft/sec (fps) | L/T | L/T |
V | volume | ft3 (cuft) | L3 | L3 |
v | velocity | ft/sec (fps) | L/T | L/T |
W | weight | lb | F | ML/T2 |
w | velocity | ft/sec (fps) | L/T | L/T |
y | depth (open channel) | ft | L | L |
y | distance from solid boundary | ft | L | L |
z | height above datum | ft | L | L |
Γ | circulation | ft2/sec | L2/T | L2/T |
γ | specific weight | lb/ft3 | F/L3 | M/L2T2 |
δ | boundary layer or film thickness | ft | L | L |
ε | eddy viscosity | lb-sec/ft2 | FT/L2 | M/LT |
μ | viscosity | lb-sec/ft2 | FT/L2 | M/LT |
ν | kinematic viscosity | ft2/sec | L2/T | L2/T |
ξ | vorticity | sec-1 | 1/T | 1/T |
ρ | density | slug/ft3 | FT2/L4 | M/L3 |
σ | surface tension | lb/ft | F/L | M/T2 |
τ | shear stress | lb/ft2 | F/L2 | M/LT2 |
φ | velocity potential | ft2/sec | L2/T | L2/T |
ψ | streamfunction | ft2/sec | L2/T | L2/T |
ω | angular velocity | sec-1 | 1/T | 1/T |
symbol | quantity | symbol | quantity |
C | cauchy number | n | polytropic exponent |
Cc | coefficient of contraction | R | reynolds number |
CD | drag coefficient | S | slope of energy line |
Cf | frictional drag coefficient | So | bottom slope (open channel) |
CL | lift coefficient | Sc | critical slope |
Cp | pressure coefficient | W | weber number |
Cv | coefficient of velocity | Y | expansion factor |
Cw | weir coefficient | α | kinetic energy |
E | euler number |
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F | froude number | β | momentum correction factor |
f | friction factor | η | efficiency |
KL | loss coefficient | κ | von kármán's turbulence |
k | adiabatic exponent |
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M | mach number | Π | dimensionless group |
tem- pera- ture, °F | specific weight,a γ, lb/ft3 | density,a ρ, slug/ft3 | modulusb of elasticity,c E/103, psi | viscosity,a μ × 105, lb-sec/ft2 | kinematic viscosity,a υ x 105, ft2/sec | surfacea tension,d σ, lb/ft | kinematic surfacea tension,d σ/ρ, ft³/sec² | vapor pressure,e pv , psia | vapor pressure head,f pv/γ, ft |
32 | 62.42 | 1.940 | 287 | 3.746 | 1.931 | 0.00518 | 0.00267 | 0.09 | 0.19 |
40 | 62.43 | 19.40 | 296 | 3.229 | 1.664 | 0.00514 | 0.00265 | 0.12 | 0.28 |
50 | 62.41 | 1.940 | 305 | 2.735 | 1.410 | 0.00509 | 0.00262 | 0.18 | 0.41 |
60 | 62.37 | 1.938 | 313 | 2.359 | 1.217 | 0.00504 | 0.00260 | 0.26 | 0.59 |
70 | 62.30 | 1.936 | 319 | 2.050 | 1.059 | 0.00498 | 0.00257 | 0.36 | 0.84 |
80 | 62.22 | 1.934 | 324 | 1.799 | 0.930 | 0.00492 | 0.00254 | 0.51 | 1.17 |
80 | 62.11 | 1.931 | 328 | 1.595 | 0.826 | 0.00486 | 0.00251 | 0.70 | 1.62 |
100 | 62.00 | 1.927 | 331 | 1.424 | 0.739 | 0.00480 | 0.00249 | 0.95 | 2.21 |
110 | 61.86 | 1.923 | 332 | 1.284 | 0.667 | 0.00473 | 0.00246 | 1.27 | 2.97 |
120 | 61.71 | 1.918 | 332 | 1.167 | 0.609 | 0.00467 | 0.00243 | 1.69 | 3.95 |
130 | 61.55 | 1.913 | 331 | 1.069 | 0.558 | 0.00460 | 0.00240 | 2.22 | 5.20 |
140 | 61.38 | 1.908 | 330 | 0.981 | 0.514 | 0.00454 | 0.00238 | 2.89 | 6.77 |
150 | 61.20 | 1.902 | 328 | 0.905 | 0.476 | 0.00447 | 0.00235 | 3.72 | 8.75 |
160 | 61.00 | 1.896 | 326 | 0.838 | 0.442 | 0.00441 | 0.00232 | 4.74 | 11.17 |
170 | 60.80 | 1.890 | 322 | 0.780 | 0.413 | 0.00434 | 0.00229 | 5.99 | 14.18 |
180 | 60.58 | 1.883 | 318 | 0.726 | 0.385 | 0.00427 | 0.00226 | 7.51 | 17.85 |
190 | 60.36 | 1.876 | 313 | 0.678 | 0.362 | 0.00420 | 0.00223 | 9.34 | 22.40 |
200 | 60.12 | 1.868 | 308 | 0.637 | 0.341 | 0.00413 | 0.00221 | 11.52 | 27.63 |
212 | 59.83 | 1.860 | 300 | 0.593 | 0.319 | 0.00404 | 0.00217 | 14.70 | 35.35 |
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