Borda-Carnot 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 Borda-Carnot 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.
Borda-Carnot Equation
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Borda-Carnot Formula
\( \Large{ \Delta E \;=\; \dfrac{1}{ 2 } \cdot \epsilon \cdot \rho \cdot \left( {v_1 - v_2} \right)^2 }\) (Borda-Carnot Equation)
\(\Large{ \epsilon \;=\; \dfrac{ 2 \cdot \Delta E }{ \rho \cdot \left( {v_1 - v_2} \right)^2 } }\)
\(\Large{ \rho \;=\; \dfrac{ 2 \cdot \Delta E }{ \epsilon \cdot \left( {v_1 - v_2} \right)^2 } }\)
\(\Large{ v_1 \;=\; v_2 \pm \sqrt{ \dfrac{ 2 \cdot \Delta E }{ \epsilon \cdot \rho } } }\)
\(\Large{ v_2 \;=\; v_1 \pm \sqrt{ \dfrac{ 2 \cdot \Delta E }{ \epsilon \cdot \rho } } }\)
