# Water Density by Temperature

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

## Water Density by Temperature Formula

 $$\large{ \rho_w = \frac{ \rho_{H2O} }{ 1 \;+\; a_v \; \left( T \;-\; T_0 \right) } }$$

### Where:

 Units English Metric $$\large{ \rho_w }$$   (Greek symbol rho) = water density by temperature $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$ $$\large{ \rho_{H2O} }$$   (Greek symbol rho) = normal density of water $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$ $$\large{ T }$$ = temperature of water $$\large{ F }$$ $$\large{K}$$ $$\large{ T_0 }$$ = normal temperature of water $$\large{ F }$$ $$\large{K}$$ $$\large{ \alpha_v }$$  (Greek symbol alpha) = volumetric thermal expansion coefficient  (0.0002) $$\large{ \frac{in^3}{in^3\;F} }$$ $$\large{ \frac{mm^3}{mm^3\;C} }$$