The Bernoulli's equation relates the pressure, velocity, and height of a fluid in a streamline. Which of the following assumptions is NOT made in the derivation of Bernoulli's equation?
- Steady flow
- Incompressible fluid
- No external forces acting on the fluid
- Negligible viscosity
Explanation
The assumption that is NOT made: "No external forces acting on the fluid"
- Bernoulli's equation requires gravity to be present and acting on the fluid.
- The height/head term () in the equation is derived from the work done by gravity. Without gravity, this term would not exist.
Additional information
- Steady flow — Properties at any point stay constant over time.
- Incompressible fluid — Density (ρ) is constant.
- Negligible viscosity — The fluid is inviscid/frictionless, so no shear forces or turbulence along the streamline.
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