|
[Sponsors] |
July 22, 2013, 02:12 |
A question on Fluid Dynamics
|
#1 |
New Member
Join Date: Jul 2013
Posts: 25
Rep Power: 12 |
"From basic fluid mechanics it is known that a pressure gradient, ∂p/∂r=rho*V^2/r, is necessary to curve the streamlines; r is the curvature of the streamline and V is the speed. This pressure gradient acts like the centripetal force known from the circular motion of a particle." ------Quoted from a book on wind turbine aerodynamics.
Please do me a favor and explain more in detail the philosophy underlying the equation. I guess it can be derived from F= m*v^2/r, but i just can't figure it out. Your help will be highly appreciated. Thank you in advance. |
|
July 22, 2013, 04:03 |
|
#2 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,768
Rep Power: 71 |
Quote:
d(rho*v)/dt + Div (rho*vv) = Div T where T is the stress tensor you can write as -pI + Td. Then you can write the momentum equation in a polar system (r,theta), assume a steady non dissipative motion and so on... You will get the equilibrium equation. |
||
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Computational fluid dynamics problem (Matlab) | srik | Main CFD Forum | 0 | May 5, 2013 02:53 |
Fluid Dynamics Crash Courses? | JasonG | Main CFD Forum | 0 | May 31, 2010 11:44 |
Fluid Dynamics tee shirts | Jack McInerney | Main CFD Forum | 0 | March 29, 2008 09:03 |
computational fluid dynamics | amit patil | CFX | 10 | September 17, 2006 09:36 |
fluid dynamics software sought for 3D models | Woon San Joe | Main CFD Forum | 1 | March 11, 2004 23:00 |