Water - Prandtl Number vs. Temperature and Pressure

The Prandtl Number - Pr - is a dimensionless number approximating the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity - and is often used in heat transfer and free and forced convection calculations.

The Prandtl number can for calculations be expressed as

Pr =  μ c_p / k                           (1)

where

μ = absolute or dynamic viscosity (kg/(m s)), (lb_m/(ft h))

c_p = specific heat (J/(kg K)), (Btu/lb_m^oF)

k = thermal conductivity (W/(m K)), (Btu/(h ft^2oF/ft))

Below, Prandtl numbers of water at varying temperatures and 1, 10 and 100 bara (14.5, 145 and 1450 psia) are given in figures and tables.

See also other properties of Water at varying temperature and pressure : Boiling points at high pressure, Boiling points at vacuum pressure, Density and specific weight, Dynamic and kinematic viscosity, Enthalpy and entropy, Heat of vaporization, Ionization Constant, pK_w , of normal and heavy water, Melting points at high pressure, Properties at Gas-Liquid Equilibrium Conditions, Saturation pressure, Specific gravity, Specific heat (heat capacity), Specific volume, Thermal conductivity, Thermal diffusivity and Vapour pressure at gas-liquid equilibrium, and Thermophysical properties at standard conditions,
as well as Prandtl number of Air, Ammonia, Carbon dioxide, Methane, Nitrogen and Propane.

Prandtl number of water at 1 bara pressure, varying temperature given as °C or °F:

Prandtl number of water at 1, 10 and 100 bara (14.5, 145 and 1450 psia), varying temperature given as °C or °F:

Prandtl number of water at atmospheric pressure, temperature given as K, °C or °F:

Prandtl number of water at given temperatures and 1, 10 and 100 bara (14.5, 145 and 1450 psia):