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DIMENSIONLESS NUMBERS OF FLUID MECHANICS12

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Name(s)

Symbol

Definition

Significance

Alfven, Karman

Al, Ka

VA/V

*(Magnetic force/ inertial force)1^2

Bond

Bd

(p' - p)L2g/Y>

Gravitational force/ surface tension

Boussinesq

B

V/(2gRf'2

(Inertial force/

gravitational force)1/2

Brinkman

Br

pV2/kAT

Viscous heat/conducted heat

Capillary

Cp

pV/Y,

Viscous force/surface tension

Carnot

Ca

(T2 -TI)/T2

Theoretical Carnot cycle efficiency

Cauchy, Hooke

Cy, Hk

pV2/r = M2

Inertial force/

compressibility force

Chandra- sekhar

Ch

B2L2/pur)

Magnetic force/dissipative forces

Clausius

CI

LV3 p/kAT

Kinetic energy flow rate/heat conduction rate

Cowling

C

(Va/V)2 = Al2

Magnetic force/inertial force

Crispation

Cr

pni/YlL

Effect of diffusion/effect of surface tension

Dean

D

D3'2V/v{2rfl2

Transverse flow due to

curvature/longitudinal flow

[Drag coefficient]

CD

(p' - p)Lg/ p'V2

Drag force/inert ial force

Eckert

E

V2 / cp AT

Kinetic energy/change in thermal energy

Ekman

Ek

(v/im2)1'2 = (Ro/Re)1/2

(Viscous force/Coriolis force)1/2

Euler

Eu

Ap/pV2

Pressure drop due to friction/ dynamic pressure

Froude

Fr

V/(gL)V2 V/NL

f (Inertial force/gravitational or buoyancy force)1/2

Gay-Lussac

Ca

1/(3 AT

Inverse of relative change in volume during heating

Grashof

Cr

gL3 (3AT / v2

Buoyancy force/viscous force

[Hall coefficient]

CH

A/rL

Gyrofrequency /

collision frequency

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Книги: 1908 А Б В Г Д Е З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Э Ю Я