Dimensionless Numbers

Physical and chemical dimensionless quantities - Reynolds number, Euler, Nusselt, and Prandtl number - and many more. Calculator for dimensionless numbers used in chemistry, fluid flow and physics engineering.

Dimensionless Numbers Calculator

Calculate various dimensionless quantities used in chemistry, fluid flow and physics engineering such as Reynolds number, Euler, Nusselt, and Prandtl number.

Select a Dimensionless Number

Choose from the available dimensionless numbers below and enter the required parameters.

Calculator

Inputs

Dimensionless Number

Speed ν (m/s)

Viscosity η (kg/(m·s))

Density ρ (kg/m³)

Length l (m)

Pressure difference Δp (kg/(m·s²))

Acceleration of free fall g (m/s²)

Cubic expansion coefficient α (1/K)

Temperature difference ΔT (K)

Thermal diffusivity a (m²/s)

Diffusion coefficient D (m²/s)

Speed of sound c (m/s)

Heat transfer coefficient h (kg/(s³·K))

Thermal conductivity k (kg·m/(s³·K))

Specific heat capacity cp (J/(kg·K))

Frequency f (1/s)

Surface tension γ (kg/s²)

Mean free path λ (m)

Mass transfer coefficient kd (m/s)

Results

Dimensionless Number-- -

Symbol Definitions

Symbol	Parameter	SI Unit
ν	Speed	m/s
η	Viscosity	kg/(m·s)
ρ	Density	kg/m³
l	Length	m
a	Thermal diffusivity	m²/s
Δp	Pressure difference	kg/(m·s²)
g	Acceleration of free fall	m/s²
α	Cubic expansion coefficient	1/K
ΔT	Temperature difference	K
λ	Mean free path	m
D	Diffusion coefficient	m²/s
c	Speed of sound	m/s
h	Heat transfer coefficient	kg/(s³·K)
k	Thermal conductivity	kg·m/(s³·K)
cp	Specific heat capacity	kg·m²/(s²·K)
f	Frequency	1/s
γ	Surface tension	kg/s²
kd	Mass transfer coefficient	m/s