Difference between revisions of "Wind Energy - Physics"

Revision as of 17:42, 16 May 2011

The power P of a wind-stream, crossing an area A with velocity v is given by

$P={\frac {1}{2}}\rho Av^{3}$

It varies proportional to air density $\rho$ , to the crossed area A and to the cube of wind velocity v.

The Power P is the kinetic energy

$E={\frac {1}{2}}mv^{2}$

of the air-mass crossing the area A during a time interval

${\dot {m}}=A\rho {\frac {dx}{dt}}=A\rho v$

@@ Line 5: / Line 5: @@
 &nbsp;<math>P=\frac{1}{2}\rho A v^3</math><br>
-It varies proportional to air density <math>\rho</math>, to the crossed area ''A ''and to the cube of the wind velocity ''v''.&nbsp;
+It varies proportional to air density <math>\rho</math>, to the crossed area ''A ''and to the cube of wind velocity ''v''.&nbsp;
+The Power ''P ''is the kinetic energy
+<math>E=\frac{1}{2}mv^2</math>
+of the air-mass crossing the area ''A&nbsp;''during a time interval
+<math>\dot{m}=A \rho \frac{dx}{dt}=A\rho v</math>