Dimensionless Numbers

dimensionless numbers banner 3 Dimensionless numbers, abbreviated as DN, are nondimensional quantity of dimension one and can not be measured on a scale of physical units. All quantities of dimension one are said to have the SI coherent derived unit "one" with the symbol "1". It is a pure number, thus always having a dimension of 1. The number does not change even if the number system you are working in does. Dimensionless numbers or quantities are used in many disiplines such as chemistry, economics, engineering, mathematics, and physics.

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Nomenclature & Symbols

Engineering, Mathematics, Science
- A - B - C - D - E - F - G - H
- H - I - J - K - L - M - N - O
- O - P - Q - R - S - T - U - V
- V - W - X - Y - Z
Accounting, Business, Finance

\(V_d\) - Abbe number
\(N_a\) - aeration number
\(Ar\) - Archimedes number
\(Ar\) - Arrhenius equation
\(Z\) - atomic number
\(A\) - Atwood number
\(Ba\) - Bagnold number
\(Be\) - Bejan number
\(Bm\) - Bingham number
\(Bi\) - biot number
\(Bl\) - Blake number
\(Bo\) - Bodenstein number
\(Bo\) - bond number
\(k_{cr}\) - buckling coefficient
\(Ca\) - capillary number
\(n_{max}\) - Carnot efficiency
\(Ca\) - Cauchy number
\(Ca\) - cavitation number
\(C\) - Chezy coefficient
\(n_{comp}\) - compound machines efficiency
\(z\) - compressibility factor
\(CR\) - compression ratio
\(\delta\) (Greek symbol delta) - constrictivity
\(Co\) - Courant number
\(\zeta\) - damping ratio
\(f_d\) - Darcy friction factor
\(DW\) - Darcy-Weisbach equation
\(De\) - Dean number
\(De\) - Deborah number
\(S\) - degree of saturation
\(C_d\) - discharge coefficient
\(C_d\) - drag coefficient
\(Ec\) - Eckert number
\(\eta\) - efficiency
\(El\) - elasticity number
\(EER\) - energy efficiency rating
\(Er\) - Ericksen number
\(Eu\) - Euler number
\(FS\) - factor of safety
\(\eta_f\) (Greek symbol eta) - fan efficiency
\(f\) - Fanning friction factor
\(C_v\) - flow coefficient
\(Fo\) - Fourier number
\(\mu\) - friction coefficien
\(f\) - friction factor
\(FL\) - friction loss
\(Fr\) - Froude number
\(Ga\) - Galileo number
\(E\) - Glide ratio
\(Ga\) - Graetz number
\(Gr\) - Grashof number
\(Hg\) - Hagen number
\(Ha\) - Hartmann number
\(C\) - Hazen-Williams coefficient
\(He\) - Hedstrom number
\(i\) - hydraulic gradient
\(n_h\) - hydraulic efficiency
\(IFR\) - injury frequency rate
\(ISR\) - injury severity rate
\(Ja\) - Jakob number
\(u_k\) - kinetic friction coefficient
\(Kn\) - Knudsen number
\(La\) - Laplace number
\(Le\) - Lewis number
\(C_l\) - lift coefficient
\(F\) - liquid critical pressure ratio factor FF
\(LI\) - liquid index
\(F_l\) - liquid pressure recovery factor
\(K\) - loss coefficient
\(LTIFR\) - lost time injury frequency rate
\(LTIIR\) - lost time injury incident rate
\(LWDI\) - lost workday incident rate
\(Ma\) - mach number
\(Mi\) - machinability index
\(n\) - Manning's roughness coefficient
\(MS\) - margin of safety
\(MS\) - margin of safety for a failure load
\(\eta_m\) (Greek symbol eta) - mechanical efficiency
\(\chi_A\) (Greek symbol chi) - mole fraction
\(Mo\) - Morton number
\(\eta_m\) (Greek symbol eta) - motor efficiency
\(Nu\) - Nusselt number
\(Oh\) - Ohnesorge number
\(\eta_o\) (Greek symbol eta) - overall efficiency
\(Pe\) - Péclet number
\(Pi\) - Pi
\(\eta_{pig}\) (Greek symbol eta) - pigging efficiency
\(\rho\) (Greek symbol rho) - pipeline parameter
\(F_p\) - piping geometry factor
\(n\) - porosity
\(N_p\) - power number
\(Pr\) - Prandtl number
\(C_p\) - pressure coefficient
\(p_g\) - pressure gradient
\(\eta_p\) (Greek symbol eta) - pump efficiency
\(Ra\) - Rayleigh number
\(Ra\) - Rayleigh number
\(RD\) - relative density
\(RH\) - relative humidity
\(k\) - relative roughness
\(K\) - resistance coefficient
\(Re\) - Reynolds number
\(Ri\) - Richardson number
\(Ro\) - Roshko number
\(Ro\) - Rossby number
\(P\) - Rouse number
\(CN\) - runoff curve number
\(Sc\) - Schmidt number
\(k\) - shape factor
\(Sh\) - Sherwood number
\(C_f\) - skin friction coefficient
\(S\) - Sommerfield number
\(SG\) - specific gravity
\(SG_g\) - specific gravity of gas
\(SG_s\) - specific gravity of soil
\(\gamma\) (Greek symbol gamma) - specific heat ratio
\(St\) - Stanton number
\(SE\) - static efficiency
\(\mu_s\) (Greek symbol mu) - static friction coefficient
\(Sr\) - Strouhal number
\(C_{NPSH}\) - suction head coefficient
\(Ta\) - Tayor number
\(\eta_{th}\) (Greek symbol eta) - thermal efficiency
\(\large{ \tau } \) (Greek symbol tau) - tortuosity
\(TCIR\) - total case incident rate
\(\eta_{tp}\) (Greek symbol eta) - total pump efficency
\(U\) - Ursell number
\(Va\) - Vadasz number
\(e\) - void ratio
\(\eta_v\) (Greek symbol eta) - volumetric efficiency
\(w\) - water content
\(We\) - Weber number
\(a\) - Womersley number