Maximum Capillary Rise: Dynamic Treatment of Liquid in Motion?

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Homework Help Overview

The discussion revolves around the concept of capillary rise, particularly focusing on the dynamics of a liquid in motion and how various factors may influence the maximum height achieved. Participants are examining the relationship between surface tension, liquid density, gravitational acceleration, and the radius of the capillary tube.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the formula for capillary rise and question how the height might change when considering a narrower surrounding reservoir. There is also a focus on the need for a dynamic treatment of the liquid, suggesting that motion may play a significant role in the problem.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the problem. Some have provided insights into the implications of the surrounding conditions on capillary action, while others are questioning the phrasing of the problem statement and its impact on the expected answer.

Contextual Notes

There is a mention of the problem requiring a dynamic treatment, indicating that static assumptions may not be sufficient. Additionally, the phrasing of the problem statement has been noted as potentially misleading, which may affect participants' understanding and approach.

Rituraj131
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Homework Statement
A capillay tube is just in contact with a liquid surface of perfectly wetting liquid. What is the maximum height liquid can rise inside the capilary?
Relevant Equations
H=2σcos(θ)/(ρgr)
I know that the height in general is goven by 2σcos(θ)/(ρgr). So the maximum height can be 2σ/(ρgr) with cos(θ)=1. But the answer given is c.
 

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Rituraj131 said:
I know that the height in general is goven by 2σcos(θ)/(ρgr).
That is for the case where the surrounding reservoir is effectively infinite in area. How do you think it might be affected by a narrower surround?
(But I am not sure this gets to answer c.)
 
haruspex said:
That is for the case where the surrounding reservoir is effectively infinite in area. How do you think it might be affected by a narrower surround?
(But I am not sure this gets to answer c.)
Thank you for you response. Actually the problem needs a dynamic treatment of the liquid in motion
 
Rituraj131 said:
Thank you for you response. Actually the problem needs a dynamic treatment of the liquid in motion
Ah, ok... you unintentionally altered the statement by writing "is just in contact" instead of "is put in contact".

Does this mean you now get the intended answer?
 
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