Questions tagged [bernoulli-equation]
This tag is for questions relating to Bernoulli equation [named after its discoverer, the Swiss scientist Daniel Bernoulli (1700–1782)], an equation governing fluid flow for an incompressible steady fluid. It gives great insight into the balance between pressure, velocity and elevation. Bernoulli’s equation is a form of the conservation of energy principle.
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Velocity of efflux when the area of hole is equal to the cross sectional area of the container
From the equation of continuity and Bernoulli's theorem a formula can be derived for the velocity of efflux when it flows from a hole of area "a" such that the cross sectional area of the ...
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How can I use Bernoulli’s principle to measure fluid height and energy?
I’m trying to do a small experiment to understand Bernoulli’s principle.
I want to measure how the height of a fluid in a pipe relates to its energy or pressure. I’m not sure:
How to set up the ...
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Continuity equation vs Poiseuille's law [duplicate]
In a pipe of diameter 10cm that narrows into a pipe segment of diameter 5cm, my understanding with the continuity equation is that flow remains constant in both segments of the pipe. However, ...
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Understanding flow rate with equations
I am having trouble understanding the continuity equation alongside Poiseuille's law. I would like to mention a scenario of a syringe with diameter 4cm pushing saline solution into a tube of 1mm ...
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Why does a free-falling liquid jet contract while an upward jet expands, from a molecular perspective?
I’m trying to understand this strictly from the atomic/molecular level, without relying on equations of continuity. Consider this situation:
A vertical water jet is released in free fall (downward).
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Pressure gradients vs. Bernoulli: what drives blood flow through a stenosis?
In a vessel stenosis, the static pressure drops locally (e.g. from 100 mmHg to 60 mmHg) and then rises again downstream (e.g. to 80 mmHg). Intuitively, this looks as if fluid should flow backward from ...
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Pitot Tube vs Bunsen Burner
In a pitot tube, the holes to the static pressure chamber are perpendicular to the flow of the surrounding air. In a bunsen burner, the air supply holes are perpendicular to the flow of gas.
From what ...
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Has the kinetic energy of falling into the water also been transferred to the water in the pool?
The water falls vertically onto a thin and lightweight iron disc, and then flows horizontally in all directions on the disc. However, the disc does not sink to the bottom of the water. My question is, ...
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Does lower pressure in a liquid help it to atomize?
I was thinking about Bernoullis principle and how it might relate to how an atomizing spray bottle works. As the liquid exits the bottle, it is forced through a small nozzle which increases its ...
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Relation between pressure and shear in an incompressible flow
I am trying to gain some physical insight into the relationship between shear and pressure in an incompressible flow and the link to the dominance of pressure over the dynamic pressure. I've ...
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How do flows accelerate around curved surfaces?
I am currently struggling to understand boundary layer separation, specifically in the case of a flow around a sphere.
I understand that an adverse pressure gradient is required - this causes the flow ...
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Deriving Bernoulli along a streamline from the energy conservation equation
Good evening, I'm trying to figure out how could I derive the Bernoulli equation along a streamline $h + \frac{1}{2} u^2 + g z = \text{constant}$
starting from the energy conservation equation. This ...
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Determination of points with same pressure in a U tube containing different liquids [closed]
In many such questions point at the interface and a another point at the same level are taken to be at the same pressure.
My question is for the pressure to be equal at the same horizontal level does ...
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What is the Pressure Across Streamlines?
If you have a flow with uniform streamline entering a bend in a pipe, is the pressure on a streamline near the outside of the bend larger than the interior of the bend if the flow is irrotational? I'...
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How do people verify if two points are on same streamline when applying Bernoulli?
I know that Bernoulli's equation only holds between two points if they lie on same streamline however i have often seen people use Bernoulli's equation without proving that the two points they are ...
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