Henry's law: Difference between revisions

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An '''adverse [[pressure]] gradient''' occurs when the [[static pressure]] increases in the direction of the flow. Mathematically this is expressed as:
<math>dP/dx>0</math>.
This is important for [[boundary layer]]s, since increasing the fluid pressure is akin to increasing the [[potential energy]] of the fluid, leading to a reduced [[kinetic energy]] and a [[deceleration]] of the [[fluid]]. Since the fluid in the inner part of the boundary layer is relatively slower, it is more greatly affected by the increasing pressure gradient. For a large enough pressure increase, this fluid may slow to zero velocity or even become reversed. When flow reversal occurs, the flow is said to be separated from the surface. This has very significant consequences in [[aerodynamics]] since [[flow separation]] significantly modifies the pressure distribution along the surface and hence the [[Lift (force)|lift]] and [[Drag (physics)|drag]] characteristics.
 
[[Turbulent]] boundary layers tend to be able to sustain an adverse pressure gradient better than an equivalent [[laminar flow|laminar]] boundary layer. The more efficient mixing which occurs in a turbulent boundary layer transports kinetic energy from the edge of the boundary layer to the low [[momentum]] flow at the solid surface, often preventing the separation which would occur for a laminar boundary layer under the same conditions. This physical fact has led to a variety of schemes to actually produce turbulent boundary layers when boundary layer separation is dominant at high [[Reynolds number]]s. The dimples on a [[golf]] ball, the fuzz on a [[tennis]] ball, or the seams on a [[baseball]] are good examples. Aeroplane [[wing]]s are often engineered with [[vortex generator]]s on the upper surface to produce a turbulent boundary layer.
 
See also [[flow separation]]
 
[[Category:Fluid dynamics]]
References
1. Eckert, E. R. G. and Drake Jr., Robert M.; Heat and Mass Transfer, McGraw-Hill Company, Inc., 1959.
2. Schlichting, Hermann; Boundary Layer Theory, McGraw-Hill Company, Inc., 1960
 
 
 
 
 
{{fluiddynamics-stub}}

Revision as of 21:55, 17 February 2014

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