A fluid is flowing steadily through a horizontal pipe of

Solution

According to Bernoulli’s 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
• ρ = fluid density
• v = speed of fluid

• If speed increases, pressure decreases
• If speed decreases, pressure increases