Question
A fluid is flowing steadily through a horizontal pipe of
varying cross-section. According to Bernoulliās principle, the pressure is:Solution
According to Bernoulliās principle, for an incompressible, non-viscous fluid flowing through a horizontal pipe, the total mechanical energy (pressure energy + kinetic energy + potential energy) per unit volume remains constant. In a horizontal pipe, potential energy remains constant, so the relation simplifies to: 
Where:
- P = pressure
- Ļ = fluid density
- v = speed of fluid
- If speed increases, pressure decreases
- If speed decreases, pressure increases
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