Which one of the following is the conservation law from which the Bernoulli’s equation for fluid flow is derived?
[amp_mcq option1=”Conservation of momentum” option2=”Conservation of volume” option3=”Conservation of mass” option4=”Conservation of energy” correct=”option4″]
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UPSC Geoscientist – 2022
Bernoulli’s equation is derived from the principle of conservation of energy applied to the flow of an inviscid (frictionless), incompressible fluid along a streamline. It states that the total mechanical energy of the fluid, which includes pressure energy, kinetic energy, and potential energy due to elevation, remains constant along a streamline in steady flow under the influence of gravity. The equation is essentially an expression of the work-energy theorem for a fluid element.
– Bernoulli’s equation relates pressure, velocity, and elevation of a fluid.
– It is a form of the conservation of energy applied to fluid flow.
– Assumptions include inviscid, incompressible, and steady flow along a streamline.