Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Magnus effect
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Kutta–Joukowski lift=== [[File:Magnus-anim-canette.gif|thumb|The topspinning cylinder "pulls" the airflow up and the air in turn pulls the cylinder down, as per Newton's third law]] On a cylinder, the force due to rotation is an example of [[Kutta–Joukowski theorem|Kutta–Joukowski lift]]. It can be analysed in terms of the vortex produced by rotation. The lift per unit length of the cylinder <math> L^{\prime}</math>, is the product of the freestream velocity <math> v_{\infty}</math>, the fluid density <math> \rho_{\infty}</math> and circulation <math> \Gamma</math> due to viscous effects:<ref name="Glenn" /> :<math> L^{\prime}= \rho_{\infty} v_{\infty} \Gamma,</math> where the vortex strength (assuming that the surrounding fluid obeys the [[no-slip condition]]) is given by :<math>\Gamma = 2 \pi \omega r^2</math><ref name="Glenn" /> where ''ω'' is the angular velocity of the cylinder (in rad/s) and ''r'' is the radius of the cylinder.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)