Hüdro- ja aeromehaanika
Tallinna Tehnikaülikool
Hüdro- ja aeromehaanika
EMH5020
Kodutöö
Üliõpilane:
Kood: XXX
Rühm: MATB-64
Juhendaja:
Feliks Kaplanski
Kuupäev:
27.04.2012
Tallinn 2012
1. What means vorticity? Derive vorticity transport equation in the plane and in the
axisymmetric cases?
1.1 Vorticity is equal to the curl of the flow velocity. Vorticity is the tendency for elements of the fluid to
"spin."
Mathematically, vorticity is a vector field and is defined as the curl of the velocity field.
w = curl (u ) = × u
1.2 Vorticity transport equation on the plane
From the Navier-Stokes equation
u 1
+ u ( u ) = - p + g + v 2 u
t
annaabi.ee 
