For Bernoulli’s equation to remain valid, which of the following...
The conditions to be satisfied for the applicability of Bernoulli’s equation are
I. Flow along a stream line
II. Flow is steady and Incompressible
III. Effect of viscous forces is negligible
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For Bernoulli’s equation to remain valid, which of the following...
The concept of Bernoulli's principle, named after Swiss mathematician Daniel Bernoulli, is fundamental in fluid dynamics. It states that as the speed of a fluid increases, its pressure decreases, and vice versa.
Bernoulli's principle is based on the conservation of energy principle, which states that the total energy of a system remains constant. In the case of fluid flow, the total energy is the sum of the potential energy (due to the fluid's height) and the kinetic energy (due to the fluid's motion).
According to Bernoulli's principle, when a fluid flows through a pipe or a constriction, the speed of the fluid increases in the narrower region, and as a result, the pressure decreases. This is because the total energy of the fluid must remain constant, and since the kinetic energy increases, the potential energy (pressure) must decrease.
One practical example of Bernoulli's principle is the operation of an airplane wing. The shape of the wing is designed such that the airflow over the top surface is faster than the airflow underneath. As a result, the pressure on the top surface is lower, creating lift and allowing the airplane to stay airborne.
Bernoulli's principle is also applicable in various other areas, such as the flow of blood in arteries, the operation of a carburetor in an internal combustion engine, and even in the flight of a frisbee. It is a fundamental principle in understanding and analyzing fluid flow and is widely used in engineering and physics.
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