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) \(\large{ \frac{in^3}{in^3\;F} }\) \(\large{ \frac{mm^3}{mm^3\;C} }\)

 

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Tags: Equations for Temperature Equations for Density