Knudsen Flow: High School Student Q&A

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Discussion Overview

The discussion revolves around Knudsen flow, particularly from the perspective of a high school student's inquiry into its mechanisms, differences from other types of flow, and practical applications. The scope includes theoretical understanding and experimental considerations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • A participant questions how Knudsen flow occurs and whether it can be created by simply digging a hole in a board.
  • Another participant explains that Knudsen flow results from the mean free path of gas molecules being equal to or smaller than the channel’s size, and discusses the relationship between the Knudsen number and flow types.
  • There is confusion expressed regarding the causal relationship between channel size and air pressure in relation to Knudsen flow.
  • Some participants mention applications of Knudsen flow in membranes for sieving different molecules, questioning whether pore thickness or radius relates to channel size.
  • A reference to a Wikipedia article is provided, highlighting that in Knudsen flow, gas particles are more likely to collide with container walls than with each other.
  • It is noted that Knudsen flow cannot be modeled as viscous flow due to the low pressure of the gas involved.

Areas of Agreement / Disagreement

Participants express various uncertainties and questions about the nature of Knudsen flow, its mechanisms, and its applications. There is no consensus on the specifics of how to create or model Knudsen flow, nor on the implications of channel size and pressure.

Contextual Notes

Participants have not fully resolved the assumptions regarding the relationship between channel size, pressure, and the conditions necessary for Knudsen flow. The discussion includes varying interpretations of how Knudsen flow differs from viscous and molecular flow.

Who May Find This Useful

This discussion may be useful for high school students studying fluid dynamics, educators looking for examples of student inquiries, or anyone interested in the practical applications of Knudsen flow in experimental setups.

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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