Important Dimensionless Numbers in Fluid Mechanics

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Dimensionless Number

Symbol

Formula

Numerator

Denominator

Importance

Reynolds number

NRe

Dvr/m

Inertial force

Viscous force

Fluid flow involving viscous and inertial forces

Froude number

NFr

u2/gD

Inertial force

Gravitational force

Fluid flow with free surface

Weber number

NWe

u2rD/s

Inertial force

Surface force

Fluid flow with interfacial forces

Mach number

NMa

u/c

Local velocity

Sonic velocity

Gas flow at high velocity

Drag coefficient

CD

FD/(ru2/2)

Total drag force

Inertial force

Flow around solid bodies

Friction factor

f

tw/(ru2/2)

Shear force

Inertial force

Flow though closed conduits

Pressure coefficient

CP

Dp/(ru2/2)

Pressure force

Inertial force

Flow though closed conduits. Pressure drop estimation


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Last Modified on: 14-Sep-2014

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