2.2. PRINCIPLES OF DIMENSIONAL ANALYSIS
31
Table 2.2: Important Fluid Flow Dimensionless Products
Reynolds number
Re =
Fronde number
Fr = -£=
VgL
Euler number (Pressure Coef.)
Eu — pV2L2 — ^5Weber number
We=
Cauchy number
Ca=f
Mach number
Ma=- c
Strouhal number
St =
where
p - mass density
V - velocity
L - length
p - dynamic coefficient of viscosity
v - kinematic coefficient of viscosity
g - gravitational attraction
F - force
p - pressure
a - surface tension
E - modulus of elasticity
c - speed of sound
u - angular frequency
31
Table 2.2: Important Fluid Flow Dimensionless Products
Reynolds number
Re =
Fronde number
Fr = -£=
VgL
Euler number (Pressure Coef.)
Eu — pV2L2 — ^5Weber number
We=
Cauchy number
Ca=f
Mach number
Ma=- c
Strouhal number
St =
where
p - mass density
V - velocity
L - length
p - dynamic coefficient of viscosity
v - kinematic coefficient of viscosity
g - gravitational attraction
F - force
p - pressure
a - surface tension
E - modulus of elasticity
c - speed of sound
u - angular frequency
