Module dimensionless 

Dimensionless number calculations and similarity analysis.

Provides standard dimensionless groups used in fluid mechanics, heat transfer, and related disciplines. All functions operate on SI-unit inputs and return the corresponding dimensionless ratio.

Functions

archimedes_number

Archimedes number: Ar = g·L³·ρ_f·(ρ_p - ρ_f) / μ².

biot_number

Biot number: Bi = h·L / k_s.

euler_number

Euler number: Eu = ΔP / (ρ·v²).

froude_number

Froude number: Fr = v / √(g·L).

grashof_number

Grashof number: Gr = g·β·ΔT·L³ / ν².

knudsen_number

Knudsen number: Kn = λ / L.

mach_number

Mach number: Ma = v / c_sound.

nusselt_number

Nusselt number: Nu = h·L / k_thermal.

peclet_number

Péclet number: Pe = v·L / D.

prandtl_number

Prandtl number: Pr = μ·cp / k.

rayleigh_number

Rayleigh number: Ra = Gr·Pr.

reynolds_number

Reynolds number: Re = ρ·v·L / μ.

stokes_number

Stokes number: Stk = t_p·v / l.

strouhal_number

Strouhal number: St = f·L / v.

weber_number

Weber number: We = ρ·v²·L / σ.