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Boundary layer

 

Boundary layer

 

A tin layer of static to slow moving air adjacent to the surfaces of a moving body. Friction between the body and the surrounding air holds back the flow nearest to the surfaces, whilst the air further from the body in the mainstream flows past at unabated speed. All this areas of slow moving air are called also "Limit layer" or "Boundary layer". As air is viscous, the air particles closest to surface are 'glued' to the car surface. The next layer of air particles move slowly on these particles. The next layer moves a bit faster and so on. Now, if the speed of the air through the limit layer is low, the layer maintains its laminar structure. At great speeds, the limit layer makes turbulences and disintegrates. This breaking of the layer consumes energy and increases the drag factor. Also, the longer the surface, the thicker the boundary layer becomes toward the end of the surface downstream. As the boundary layer thickens it slows down the airflow around it, which leads to airflow separating from the surface, reducing performance.
However, despite the efforts in the aerodynamic design, the limit layer destruction is inevitable, although it may be displaced behind the car. Aerodynamicist try to reduce boundary layer effect by using golf ball dimple effect, shark skin, riblets, super smooth surface finishes, bumble bee effect (hairy surfaces), etc.
The details of the flow within the boundary layer are very important for many problems in aerodynamics, including wing stall, the skin friction drag on an object, and the heat transfer that occurs in high speed.

 

Boundary Layer, NASA

Boundary layers may be either laminar (layered), or turbulent (disordered) depending on the value of the Reynolds number. For lower Reynolds numbers, the boundary layer is laminar and the streamwise velocity changes uniformly as one moves away from the wall, as shown on the left side of the picture. For higher Reynolds numbers, the boundary layer is turbulent and the streamwise velocity is characterized by unsteady (changing with time) swirling flows inside the boundary layer. The external flow reacts to the edge of the boundary layer just as it would to the physical surface of an object. So the boundary layer gives any object an "effective" shape which is usually slightly different from the physical shape. To make things more confusing, the boundary layer may lift off or "separate" from the body and create an effective shape much different from the physical shape. This happens because the flow in the boundary has very low energy (relative to the free stream) and is more easily driven by changes in pressure. Flow separation is the reason for wing stall at high angle of attack. The effects of the boundary layer on lift are contained in the lift coefficient and the effects on drag are contained in the drag coefficient.

The pressure across the boundary layer, normal to the surface of the solid body, is
represented to be almost equal to the pressure just outside the boundary layer.
The pressure inside the boundary layer changes along its length as the pressure outside the layer changes. Towards the trailing edge of a wing, the pressure outside the boundary layer builds, and the velocity outside the layer decreases, approaching zero towards the aft 'stagnation point'. This has the consequence that the range of fluid flow velocities inside the boundary layer also decreases.
If the pressure increase towards the stagnation point is not sufficiently gradual, then the boundary layer can separate from the surface of the wing before the trailing edge. This occurs because the velocities inside the boundary layer are already smaller than those outside, hence they can reach zero before the aft stagnation point. After this, the velocities inside the boundary layer can reverse direction, and this causes the flow to separate from the wing. Irrespective of where the boundary layer separates, it then breaks up into eddies and forms a turbulent wake behind the wing.
The boundary layer airflow which remains attached to the upper surface of the wing, does so only because the pressure outside the boundary layer is slightly higher than the pressure inside the boundary layer, so there is a pressure gradient which forces the boundary layer to apparently adhere to the convex upper surface of the wing. There is no genuine force of attraction between the wing surface and the boundary layer airflow.

 

HISTORICAL NOTE:

The theory which describes boundary layer effects was first presented by Ludwig Prandtl in the early 1900's. The general fluids equations had been known for many years, but solutions to the equations did not properly describe observed flow effects (like wing stalls). Prandtl was the first to realize that the relative magnitude of the inertial and viscous forces changed from a layer very near the surface to a region far from the surface. He first proposed the interactively coupled, two layer solution which properly models many flow problems.

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