Understanding Navier's Slip Condition: Fixed Walls & Applicability

In summary, Navier's slip condition is a boundary condition used in fluid mechanics to describe the behavior of fluids at solid boundaries. It was developed by French physicist and mathematician Claude-Louis Navier in the 1820s and is used as a simplifying assumption in many fluid dynamics problems. It has many real-world applications, such as in drag-reducing surfaces, self-cleaning surfaces, and microfluidic devices. However, it may not always accurately represent fluid behavior at boundaries and more complex conditions may be needed for accurate predictions.
  • #1
Suvadip
74
0
Is it necessary for the channel walls to move for the applicability of Navier's slip condition at the boundary. i.e., Is it possible that the channels walls are fixed, but we can apply the Navier's slip condition at both the channel walls.
 
Physics news on Phys.org
  • #2
The slip condition simply allows for relative motion between the fluid and sold at the interface. Slip is invoked to explain wetting, for example.
 

1. What is Navier's slip condition?

Navier's slip condition is a boundary condition used in fluid mechanics to describe the behavior of fluids at solid boundaries. It states that the velocity of a fluid at the boundary is proportional to the shear stress at the boundary.

2. Who developed Navier's slip condition?

Navier's slip condition was developed by French physicist and mathematician Claude-Louis Navier in the 1820s.

3. How is Navier's slip condition used in research?

Navier's slip condition is used as a simplifying assumption in many fluid dynamics problems, allowing for easier calculations and modeling of fluid flow. It is also used in the development of new materials with specific surface properties.

4. What are some real-world applications of Navier's slip condition?

Navier's slip condition has many practical applications, such as in the design of drag-reducing surfaces for ships and aircraft, the development of self-cleaning surfaces, and the study of fluid flow in microfluidic devices.

5. Is Navier's slip condition always an accurate representation of fluid behavior at boundaries?

No, Navier's slip condition is a simplified model and may not accurately represent all fluid behavior at boundaries. In some cases, more complex boundary conditions may be necessary for accurate predictions of fluid flow.

Similar threads

  • Other Physics Topics
Replies
1
Views
834
  • Other Physics Topics
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Other Physics Topics
Replies
2
Views
1K
Replies
4
Views
1K
Replies
2
Views
1K
  • Other Physics Topics
Replies
11
Views
3K
  • Classical Physics
Replies
1
Views
831
  • Introductory Physics Homework Help
Replies
5
Views
803
Replies
1
Views
874
Back
Top