BordaCarnot Equation
BordaCarnot equation is a empirical description of the mechanical loss energy losses of the fluid due to a sudden flow expansion. It describes how the total head losses due to the expansion. This equation is only valid for expansion, in the case of a contraction, the BordaCarnot Equation cannot be used as it would indicate that energy is created. The empirical loss coefficient, \(\large{\epsilon}\), is a number between 0 and 1. For an abrupt and wide expansion, \(\large{\epsilon}\) is equal to 1. For other instances, the value should be determined through empirical means.
BordaCarnot equation 

\(\large{ \Delta E = \epsilon \; \frac { 1 }{ 2 } \; \rho \; \left({v_1  v_2}\right)^2 }\)  
Symbol  English  Metric 
\(\large{ \Delta E }\) = fluid mechanical energy loss  \(\large{ lbfft }\)  \(\large{J}\) 
\(\large{ \epsilon }\) (Greek symbol epsilon) = empirical loss coefficient  \(\large{ dimensionless }\)  
\(\large{ \rho }\) (Greek symbol rho) = density of fluid  \(\large{\frac{lbm}{ft^3}}\)  \(\large{\frac{kg}{m^3}}\) 
\(\large{ v_1 }\) = mean flow velocity before expansion  \(\large{\frac{ft}{sec}}\)  \(\large{\frac{m}{s}}\) 
\(\large{ v_2 }\) = mean flow velocity after expansion  \(\large{\frac{ft}{sec}}\)  \(\large{\frac{m}{s}}\) 
BordaCarnot calculator
