Which one of the following is the conservation law from which the Bern

Which one of the following is the conservation law from which the Bernoulli’s equation for fluid flow is derived?

Conservation of momentum

Conservation of volume

Conservation of mass

Conservation of energy

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC Geoscientist – 2022

Download PDF Attempt Online

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.

The continuity equation, which represents conservation of mass, is often used alongside Bernoulli’s equation in fluid dynamics problems, relating the velocity of the fluid to the cross-sectional area of the flow. Conservation of momentum is related to forces and acceleration, as described by Newton’s laws, and is fundamental to the more general Navier-Stokes equations, which can reduce to Bernoulli’s equation under specific conditions.

Join Our Telegram Channel

More similar MCQ questions for Exam preparation:-