High School Knudsen Flow: High School Student Q&A

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SUMMARY

Knudsen flow occurs when the mean free path of gas molecules is equal to or larger than the size of the flow channel, leading to a situation where gas particles collide more frequently with the channel walls than with each other. This phenomenon is characterized by a high Knudsen number, indicating a transition to molecular flow under ultra-vacuum conditions. The distinction between viscous flow, Knudsen flow, and molecular flow is critical for understanding fluid dynamics in low-pressure environments. Applications of Knudsen flow include using porous membranes to sieve different molecules based on pore size and thickness.

PREREQUISITES
  • Understanding of Knudsen number and its significance in fluid dynamics
  • Familiarity with the concepts of viscous flow and molecular flow
  • Basic knowledge of gas behavior under varying pressure conditions
  • Awareness of applications of membrane technology in molecular sieving
NEXT STEPS
  • Research the mathematical modeling of Knudsen flow and its applications
  • Explore the principles of molecular diffusion and its relation to Knudsen flow
  • Study the design and function of porous membranes used in gas separation
  • Investigate the impact of channel dimensions on gas flow behavior in ultra-vacuum systems
USEFUL FOR

High school students, educators in physics and engineering, researchers in fluid dynamics, and professionals involved in gas separation technologies will benefit from this discussion.

Chain Shawn
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I am a high school student trying to carry out an experiment about fluid. Thus I am studying Knudsen flow and come up with following questions.

1. How can a Knudsen flow occurs?
2. Can I simply dig a small hole on a board and make Knudsen flow?
3. What the difference between viscous flow, Knudsen flow and moduleur flow?
4. How can such flow sieve different molecules?

( I’m not good at English. Sorry for the poor structure of this thread.😥
 
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jedishrfu said:
What have you found so far on Knudsen flow?
It results from the situation that the mean free path becomes equal or smaller than the channel’s size. And if Knudsen number(mean free path divided by diameter of flow channel) becomes higher, it will turn to molecular flow and enter ultra vacuum.

The cause and effect confuse me.I couldn’t get the causal relationship between channel’s size and air pressure. Does the Knudsen flow means that pipes size can generate ultra vacuum condition?

And I see some applications using pores on membrane to sieve different molecules, but I’m not sure whether the thickness or radius of the pore refers to the channel’s size.
 
In Knudsen flow, the fluid behavior can no longer be modeled as a viscous continuum, since the laws of viscous flow are based on significant numbers of molecular collisions. Knudsen flow occurs when the pressure of the gas is made very low.
 
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