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moatasim23
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According to Bernoulli eq Pressure of a fluid in a vertical pipe is lower where area is small.But from General formula P=F/A.Pressure should be higher.Isnt it a contradiction?
andytinker said:Some fluids have minimal compression, like water. Two vertical pipes joined at the bottom with one smaller than the other would have movement.
It would be if F were a constant. In Bernoulli's equation it is the fluid flow that is constant, not the forcemoatasim23 said:According to Bernoulli eq Pressure of a fluid in a vertical pipe is lower where area is small.But from General formula P=F/A.Pressure should be higher.Isnt it a contradiction?
HallsofIvy said:It would be if F were a constant. In Bernoulli's equation it is the fluid flow that is constant, not the force
andytinker said:With minimal compression, the fluid doesn't follow PV=P1V1. If you have flow from a small section to large the pressure is lower, if its a compressible fluid that gets changed to velocity F=mv2, if its not velocity slows down.
I think
The Bernoulli Equation is a fundamental principle in fluid dynamics that describes the relationship between fluid flow and pressure. It states that as the velocity of a fluid increases, the pressure decreases. The General Formula for pressure of a fluid, on the other hand, is a more general equation that takes into account the density and height of the fluid in addition to its velocity.
The choice between using the Bernoulli Equation or the General Formula for pressure of a fluid depends on the specific scenario and what information you have available. If you have data on the fluid's velocity, the Bernoulli Equation may be more appropriate. If you have information on the fluid's density and height, the General Formula may be a better choice.
No, the Bernoulli Equation and the General Formula are not interchangeable. They are two separate equations that are used to calculate the pressure of a fluid under different conditions. It is important to understand when each equation is applicable and which variables are needed for each one.
Both equations have limitations and assumptions that must be considered when using them. The Bernoulli Equation assumes that the fluid is incompressible, inviscid (has no internal friction), and flows along a streamline. The General Formula assumes a constant density and neglects any external forces acting on the fluid, such as gravity.
The Bernoulli Equation and the General Formula are used in various applications in engineering and physics. Some examples include designing aircraft wings and propellers, calculating water flow in pipes, and understanding blood flow in the human body. These equations are also used in weather forecasting, aerodynamics, and hydraulic engineering.