Fluid Dynamics in Action: (Mechanics)

In summary, the conversation is about a viscous fluid flowing between two rigid boundaries, with the lower boundary moving at a constant speed and the upper boundary at rest. The boundaries are porous and the vertical velocity is constant at each one. The resulting flow is known as plane Couette flow and more information can be found in the provided link.
  • #1
ra_forever8
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Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one. Find the resulting flow.
 
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  • #2
If I am not mistaken, you are looking for plane Couette flow!

Have a look at
http://www.maths.manchester.ac.uk/~dabrahams/MATH45111/files/lecture11.pdf (first three pages)

Note that in your problem, the moving plate and the one at rest, are the other way around!

Hope this helps!

Kindest regards
 

FAQ: Fluid Dynamics in Action: (Mechanics)

What is fluid dynamics?

Fluid dynamics is the branch of physics that studies the behavior of fluids (liquids and gases) in motion. It involves the study of how fluids move, the forces that act on them, and the effects of these forces on their motion.

How is fluid dynamics relevant in the real world?

Fluid dynamics has a wide range of applications in various fields, such as engineering, meteorology, oceanography, and aerodynamics. It helps in understanding and predicting the behavior of fluids in different scenarios, which is essential for developing new technologies and solving practical problems.

Can you give an example of fluid dynamics in action?

An excellent example of fluid dynamics in action is the flow of air around an airplane's wings. The shape and angle of the wings create lift, and the air's flow and pressure distribution determine the amount of lift produced. Understanding these principles is crucial for designing efficient and safe aircraft.

What are some important principles in fluid dynamics?

The Bernoulli's principle, which states that as the velocity of a fluid increases, the pressure decreases, is a fundamental principle in fluid dynamics. Another important principle is the conservation of mass, which states that the mass of a fluid remains constant, regardless of its shape or velocity.

How is fluid dynamics related to mechanics?

Fluid dynamics is a branch of mechanics that deals with the motion of fluids. It uses principles from other areas of mechanics, such as Newton's laws of motion and conservation of energy, to analyze and understand the behavior of fluids in motion.

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