No Slip Condition: Which is Correct? Explained

In summary, there is a discrepancy between two sources regarding the velocity of a fluid in contact with a solid boundary. While one source claims that the velocity of the fluid is equal to the velocity of the solid boundary, the other source states that the velocity is 0. It is unclear which statement is correct and further explanation is needed.
  • #1
foo9008
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Homework Statement


i was told that

For a given fluid the velocity of fluid in contact with with solid boundary is equal to the velocity of solid boundary in a book . In another book , I was told that the velocity of fluid at the solid boundary is 0 , which is correct ? can someone explain ?

Homework Equations

The Attempt at a Solution


imo , the first one is wrong , the second statement is correct , am i right ? can someone expalin pls?
 
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  • #2
Taken at face value the first statement allows for the solid boundary to be moving and the second statement assumes that it is not moving . In either case the velocity of the fluid in contact with the solid boundary is zero relative to the boundary .

We really need to see the actual text from the books though to be certain about what is being said about this .
 
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What is the no slip condition?

The no slip condition is a boundary condition in fluid mechanics that states that the velocity of a fluid at a solid surface is zero. This means that the fluid molecules at the surface do not slip along the surface, but instead have zero velocity relative to the surface.

Why is the no slip condition important?

The no slip condition is important because it accurately describes fluid behavior at a solid surface. It is also essential for the development of mathematical models and simulations in fluid mechanics.

Is the no slip condition always correct?

No, the no slip condition is not always correct. In certain cases, such as at the nanoscale or for certain types of fluids, slip may occur at the solid surface. However, for most practical applications, the no slip condition is a valid assumption.

What are the implications of violating the no slip condition?

Violating the no slip condition can result in inaccuracies in fluid flow predictions and simulations. It can also affect the behavior of boundary layers, which are important in many engineering applications. Therefore, it is important to understand the conditions under which the no slip condition may not hold.

Can the no slip condition be modified or improved?

Yes, there have been efforts to modify or improve the no slip condition, such as by considering slip length or slip velocity at the surface. These modifications can lead to more accurate predictions in certain cases, but the no slip condition remains a fundamental concept in fluid mechanics.

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