CIVIL ENGINEERING

DESIGN,CONSTRUCTION AND MAINTENANCE OF THE NATURAL ENVIRONMENT.

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Friday, 26 October 2012

Symbols used in fluid mechanics


a = Acceleration (m/s2
A = Area (m2)
) a = Speed of sound (m/s)
F = Force (N)
g = acceleration due to gravity (m/s2 )
h = fluid head (m)
K = Bulk modulus (MPa )
m = mass (kg)
M = mach number u /a
M = Molecular weight
p = fluid pressure (N /m2 )
pabs - absolute pressure (N /m2 )
pgauge - gauge pressure (N /m2 )
patm - atmospheric pressure (N /m2 )
p s= surface pressure (N /m2 )
Q = Volume flow rate (m3 /s)
q = Heat transfer /unit mass (J/kg)
R = Gas Constant (J/(kg.K)
Ro = Universal Gas Constant (J/(kg.mol.K)
ρ = fluid density (kg /m2 )
s = specific volume (m3 /kg)
u = fluid velocity (m/s)
v = fluid velocity (m/s)
x = depth of centroid (m)
β = Compressibility (1/MPa)
θ =slope (radians)
ρ = density (kg/m3)
ρ r = density (kg/m3)
τ = shear stress (N /m2)
μ = viscosity (Pa.s)
ν kinematic viscosity (m2�s-1)
υ = Specific volume (m3 / kg)
γ= Ratio of Specific Heats

Quantities Symbols and Dimensions



QuantitySymbolDimensionsQuantitySymbolDimensions
MassmMMass /Unit Aream/A 2ML -2
LengthlLMass momentmlML
TimetTMoment of InertiaIML 2
TemperatureTθ---
VelocityuLT -1Pressure /Stressp /σML -1T -2
AccelerationaLT -2StrainτM 0L 0T 0
Momentum/ImpulsemvMLT -1Elastic ModulusEML -1T -2
ForceFMLT -2Flexural RigidityEIML 3T -2
Energy - WorkWML 2T -2Shear ModulusGML -1T -2
PowerPML 2T -3Torsional rigidityGJML 3T -2
Moment of ForceMML 2T -2StiffnesskMT -2
Angular momentum-ML 2T -1Angular stiffnessT/ηML 2T -2
AngleηM 0L 0T 0Flexibiity1/kM -1T 2
Angular VelocityωT -1Vorticity-T -1
Angular accelerationαT -2Circulation-L 2T -1
AreaAL 2ViscosityμML -1T -1
VolumeVL 3Kinematic ViscosityτL 2T -1
First Moment of AreaArL 3Diffusivity-L 2T -1
Second Moment of AreaIL 4Friction coefficientf /μM 0L 0T 0
DensityρML -3Restitution coefficient M 0L 0T 0
Specific heat-
Constant Pressure
C pL 2 T -2 θ -1Specific heat-
Constant volume
C vL 2 T -2 θ -1

Note: a is identified as the local sonic velocity, with dimensions L .T -1

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