فربین ِ برنویی farbin-e Bernoulli
*Fr.: théorème de Bernoulli*
A statement of the → *conservation of energy* in the
→ *steady flow* of an → *incompressible*,
→ *inviscid fluid*. Accordingly, the quantity
*(P/ρ) + gz + (V*^{2}/2) is → *constant* along any
→ *streamline*, where *P* is the fluid
→ *pressure*, *V* is the fluid
→ *velocity*, ρ is the mass → *density*
of the fluid, *g* is the acceleration due to
→ *gravity*, and *z* is the vertical
→ *height*. This equation affirms that if the
internal velocity of the flow goes up, the internal pressure must
drop. Therefore, the flow becomes more constricted if the velocity
field within it increases. Same as the → *Bernoulli equation*. After Daniel Bernoulli (1700-1782), the Swiss physicist and mathematician who
put forward the theorem in his book *Hydrodynamica* in 1738;
→ *theorem*. |