Along a streamline pressure, kinetic and potential energy per unit volume sum to a constant.
Along a streamline for steady, inviscid, incompressible flow: P+½ρV²+ρgz=constant. Head form: P/ρg+V²/2g+z=H. Extended with pump head and losses for real systems. Explains Venturi effect, siphons and lift qualitatively.
Water leaves a hole 5 m below the surface at about 9.9 m/s.
Bernoulli's equation relates pressure, velocity and height along a streamline, which explains lift, flow measurement and pump design.
Along a streamline pressure, kinetic and potential energy per unit volume sum to a constant.
Bernoulli's equation relates pressure, velocity and height along a streamline, which explains lift, flow measurement and pump design.
Steady, incompressible, inviscid flow along a streamline with no work or heat transfer between the points.
Using it across a pump, through a turbulent loss or with friction gives wrong answers, so the energy loss terms must be included.
Typical applications include estimating the velocity from a pressure difference in a venturi, calculating the pressure drop in a pipe contraction and explaining the lift on a wing from the velocity distribution.
Study "Continuity equation" first (topic 52 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.
Static, dynamic and stagnation pressure. Torricelli V=√(2gh). Assumption limits.
Water leaves a hole 5 m below the surface at about 9.9 m/s.
The next topic is "Pitot tubes and Venturi meters", which builds directly on this one.
It is classed as Intermediate in Thermodynamics & Fluids (topic 53 of 105). It is an intermediate topic. Work through the beginner topics in Thermodynamics & Fluids first.
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