The derivation of Bernoulli’s equation for fluid flow takes certain assumptions. Which one of the following assumptions is not among them?
[amp_mcq option1=”Gravitational forces can be neglected” option2=”Turbulence of fluid flow can be neglected” option3=”Viscous forces can be neglected” option4=”Frictional forces can be neglected” correct=”option1″]
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UPSC Geoscientist – 2022
Bernoulli’s equation includes a term (gh or ρgh) that specifically accounts for the effect of gravity on the fluid’s potential energy. Therefore, the assumption that gravitational forces can be neglected is incorrect; rather, gravity is included in the derivation.
Bernoulli’s equation is derived from the application of the conservation of energy principle to fluid flow under specific idealizing assumptions. These assumptions typically include that the fluid is incompressible, the flow is steady, inviscid (no viscous forces or internal friction), and often irrotational (negligible turbulence). The derivation considers the work done by pressure forces and gravity on a fluid element as it moves along a streamline, relating changes in pressure, velocity, and height (potential energy due to gravity).