Mathematically
It can be expressed as
where , ( p / ρg ) = pressure head , ( v 2 / 2g ) = velocity head and h = gravitational head .
For horizontal flow of liquid ,
where , pis called static pressure and ( 1 / 2 ρv 2 ) is called dynamic pressure .
The erefore in horizontal flow of liquid , if p increases , v decreases and Nce-versa .
The theorem is applicable to ideal liquid , i . e ., a liquid which is nonviscous incompressible and irrotational .
Applications of Bernoulli ’ s Theorem
1 . The action of carburetor , paintgun , scent sprayer atomiser insect sprayer is based on
Bernoulli ’ s theorem .
2 . The action of Bunsen ’ s burner , gas burner , oil stove exhaust pump is also based on Bernoulli ’ s theorem .
3 . Motion of a spinning ball ( Magnus effect ) is based on Bernoulli theorem .
4 . Blowing of roofs by wind storms , attraction between two close parallel moving boats , fluttering of a flag etc are also based Bernoulli ’ s theorem .