What is the physics behind liquids in tubing?

[PhyzBoy4567]

I am a student from UIC that has begun working on a side project.
With a few of my friends we have tried to figure out the physics behind funnels with a tube coming down with liquids in them.

Something like this:
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We have not gotten far but believe an integral to find the force of gravity would be important. As would be the pressure on the lower part of the tubing, before the liquid is released.

Where do we start?
^0^
Thanks

 

[Gokul43201]

I hope you are aware that this is a complex non-linear problem. It takes pretty eloborately written programs to figure out the dynamics of a fluid in a funnel. Besides gravity, there are forces due to viscosity, coriolis type forces, turbulence effects, etc. The differential equations that describe this system nearly well almost never have analytic solutions and must be solved numerically. There are problems of convergence involved in the writing of a code to solve this.

In short, this is a really hard problem. I would suggest you pick something that you know a little more about.

 

[GSXR750]

for your question! The physics behind liquids in tubing involves several key principles including gravity, pressure, and fluid dynamics. The shape of the tubing, the properties of the liquid, and the forces acting on the system all play a role in determining the behavior of the liquid.

To start, it is important to understand the concept of pressure. Pressure is defined as the force per unit area, and is a result of the molecules in a fluid colliding with the walls of the container. In the case of liquids in tubing, the pressure at any point in the tubing is determined by the weight of the liquid above it and the force of gravity acting on the liquid.

Next, we can consider the concept of fluid dynamics, which is the study of how fluids (liquids and gases) flow and behave. In the case of liquids in tubing, the shape and size of the tubing can affect the flow rate and pressure of the liquid. For example, a wider and shorter tube will have a higher flow rate compared to a narrower and longer tube.

To calculate the pressure and flow rate of the liquid in the tubing, we can use equations such as Bernoulli's equation and the continuity equation. These equations take into account factors such as the speed of the liquid, the density of the liquid, and the cross-sectional area of the tubing.

In addition, it is important to consider the properties of the liquid itself, such as its viscosity and surface tension. These properties can affect the flow and behavior of the liquid in the tubing.

To get started with your project, I would recommend researching these concepts and equations, and also conducting some experiments to observe the behavior of liquids in different types of tubing. Good luck with your project!