19.06.2015 Views

WIND ENERGY SYSTEMS - Cd3wd

WIND ENERGY SYSTEMS - Cd3wd

WIND ENERGY SYSTEMS - Cd3wd

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Chapter 2—Wind Characteristics 2–5<br />

.<br />

.<br />

A<br />

•<br />

❄<br />

.<br />

.<br />

A ′ •. .<br />

.<br />

.<br />

.<br />

•<br />

B ′<br />

.<br />

•<br />

B<br />

. .<br />

.<br />

.<br />

Figure 2: Coriolis force<br />

it on faith.<br />

Another statement we shall accept on faith is that the deflection of the parcel of air must<br />

cease when the wind direction becomes parallel to the isobars. Otherwise the wind would<br />

be blowing in the direction of increasing pressure, which would be like water running uphill.<br />

Since the Coriolis force acts in a direction 90 degrees to the right of the wind, it must act<br />

in a direction opposite to the pressure gradient at the time of maximum deflection. If there<br />

are no other forces present, this Coriolis force will exactly balance the pressure gradient force<br />

and the wind will flow parallel to the isobars, with higher pressure to the right of the wind<br />

direction. For straight or slightly curved isobars this resultant wind is called the geostrophic<br />

wind.<br />

When strongly curved isobars are found, a centrifugal force must also be considered. Fig. 3<br />

shows one isobar around a cyclone, which is a low pressure area rotating counterclockwise<br />

(Northern Hemisphere). Fig. 4 shows an isobar around a high pressure area which is rotating<br />

clockwise (Northern Hemisphere). This region is called an anticyclone. As mentioned earlier,<br />

the low pressure area is usually associated with bad weather, but does not imply anything<br />

about the magnitude of the wind speeds. A cyclone normally covers a major part of a state or<br />

several states and has rather gentle winds. It should not be confused with a tornado, which<br />

covers a very small region and has very destructive winds.<br />

The wind moving counterclockwise in the cyclone experiences a pressure gradient force f p<br />

inward, a Coriolis force f c outward, and a centrifugal force f g outward. For wind to continue<br />

moving in a counterclockwise direction parallel to the isobars, the forces must be balanced,<br />

so the pressure gradient force for a cyclone is<br />

f p = f c + f g (7)<br />

The pressure force inward is balanced by the sum of the Coriolis and centrifugal forces.<br />

The wind that flows in such a system is called the gradient wind. The term “geostrophic<br />

Wind Energy Systems by Dr. Gary L. Johnson November 20, 2001

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!