Fin Stabilization: Calculations, Reynolds Equation, Surface Area Effects

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The discussion focuses on the stability forces acting on rocket fins, emphasizing the importance of achieving laminar flow for enhanced stabilization. It raises questions about the appropriate cross-sectional area to use in the Reynolds Equation, specifically whether it should be the leading edge. Additionally, the impact of changing surface area, such as from a smaller to a larger diameter over a nose cone, on the stability calculations is explored. Maintaining consistent pressure across an airfoil is crucial to prevent fluctuations in momentum and control. Understanding these dynamics is essential for improving rocket fin performance and stability.
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I am trying to work through the stability forces on rocket fins
and understand how you need laminar flow for greater stabilization
but i am not sure how to accurately calculate some of these
I was told that the Reynolds Equation holds true, but uses a different cross sectional area
what cross sectional area should be used?
is it the leading edge?
also how dose changing surface area effect the equation...for example over a nose cone (small diameter to larger diameter)
thanks for any info
 
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Here is a nice discussion on turbulence - http://en.wikipedia.org/wiki/Turbulence

The objective in laminar flow is to maintain more or less constant pressure in a flow field across an airfoil, otherwise the pressure various and therefore momentum would fluctuate wildly disrupting control. Significant variations in pressure differential across a control surface would cause variations in net forces normal to the direction of travel, i.e. instabilities, which can grow in magnitude in very short periods.

This is pretty cool - supersonic laminar flow - http://www.nasa.gov/centers/dryden/history/pastprojects/F16XL2/
 
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