Important dimensionless numbers used in fluid mechanics and heat transfer are given below:-
Dimensionless Number | Expression | Significance |
Reynolds Number |
| |
Fourier Number |
| |
Biot Number |
| |
Nusselt Number |
| |
Prandtl Number |
| |
Grashof Number |
| |
Peclet Number |
| |
Stanton Number |
| |
Rayleigh Number |
| |
Jakob Number |
| |
Bond Number |
| |
Froude Number |
| |
Euler Number |
| |
Weber number |
|
Nomenclature:
μ → viscosity of fluid
ν → kinematic viscosity of fluid
ρ → density of fluid
U → characteristic velocity scale
D → characteristic Diameter = 4A/P
α → thermal diffusivity of fluid
t → time
L → characteristic length scale
Cp → specific heat at constant pressure
h → heat transfer coefficient
K → thermal conductivity of fluid
Kf → thermal conductivity of fluid
Ks → thermal conductivity of solid
g → gravitational acceleration
β → volumetric thermal expansion coefficient
ΔT → characteristic temperature difference
Tsat → saturation temperature
Ts → surface temperature
hfg → latent heat of condensation
Δρ → difference in density of the two phases
σ → surface tension
Δp → characteristic pressure difference of flow
δf → Fluid boundary layer thickness
δt → Thermal boundary layer thickness
δf → Fluid boundary layer thickness
δt → Thermal boundary layer thickness
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