What is the characteristic time for particles suspended in water to settle?

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Discussion Overview

The discussion revolves around the concept of characteristic time, specifically in the context of particles suspended in water and their descent to the bottom. Participants are exploring definitions and interpretations of characteristic time, including its application to settling particles.

Discussion Character

  • Conceptual clarification, Homework-related

Main Points Raised

  • Mark expresses confusion about the definition of characteristic time and questions whether it refers to the average time for particles to reach the bottom or the time for the last particle to settle.
  • Mark suggests that his guess is that characteristic time would be the average time for a particle to reach the bottom.
  • Another participant provides a definition of characteristic time as an estimate of the order of magnitude of the reaction time scale, noting it can be loosely defined as the inverse of the reaction rate, but expresses uncertainty about its meaning.
  • A further reply clarifies that "inverse" likely means reciprocal and infers that characteristic time could represent the time for one reaction based on the provided definition.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the definition of characteristic time, and multiple interpretations are presented without resolution.

Contextual Notes

There are limitations in the clarity of definitions and the assumptions underlying the concept of characteristic time, as well as the specific context of settling particles in water.

GBA13
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Homework Statement


Hi guys,

I am not sure what the characteristic time of something is. I've been looking online but am getting confused with the definitions. Say, for example, the characteristic time for some particles suspended it water to descend to the bottom.

Homework Equations

The Attempt at a Solution


It is the time it takes on average for the particles to reach the bottom or is it the time it takes for the last particle to hit the floor?

Thanks very much,

Mark
 
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GBA13 said:

Homework Statement


Hi guys,

I am not sure what the characteristic time of something is. I've been looking online but am getting confused with the definitions. Say, for example, the characteristic time for some particles suspended it water to descend to the bottom.
How is this term defined?
GBA13 said:

Homework Equations

The Attempt at a Solution


It is the time it takes on average for the particles to reach the bottom or is it the time it takes for the last particle to hit the floor?

Thanks very much,

Mark
My guess is that it would be the average time for a particle to reach the bottom.
 
Hi Mark,

Its defined as "The characteristic time is an estimate of the order of magnitude of the reaction time scale of a system. It can loosely be defined as the inverse of the reaction rate." But I am really not sure what that means!
Thanks for replying!
 
I believe that "inverse" here means reciprocal. The reaction rate would be the number of reactions per unit of time. According to the definition you provided, I infer that characteristic time would be the time for 1 reaction. That's my best guess.
 

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