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A fundamental principle in fluid mechanics that describes the behavior of a fluid moving along a streamline. It is derived from the conservation of energy principle for a fluid in motion and is widely used to analyze fluid flow in various engineering applications.
Bernoulli’s principle relates the pressure, velocity, and elevation of a fluid in steady, incompressible flow along a streamline. The equation is expressed as:
This equation implies that an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid’s potential energy (elevation).
Bernoulli’s equation is applied in various practical scenarios, including:
While Bernoulli’s principle provides valuable insights into fluid dynamics, its application is subject to certain conditions and limitations:
In real-world applications, factors such as friction, viscosity, and turbulence can lead to energy losses. These losses can be accounted for by modifying Bernoulli’s equation to include terms that represent these effects, providing a more accurate model of fluid behavior in complex systems[3].
Bernoulli’s equation is a cornerstone of fluid mechanics, offering a foundational understanding of how fluid flow is influenced by pressure, velocity, and elevation. Its applications span numerous industries, making it an essential tool for engineers and scientists.
Always verify flow calculations by experiment.
*There are many parameters to consider when determining V-Factor. Click here for more information.
