Bernouilli's principle and downforces

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Downforce is generated by the difference in air pressure above and below an object, with higher pressure beneath and lower pressure above creating a net downward force. This phenomenon is explained by Bernoulli's Principle, where air moving over a larger surface area slows down, resulting in decreased pressure. The equation for lift can be viewed as negative lift for downforce, emphasizing the role of pressure differences. The angle of attack is crucial, as a greater angle increases the effective surface area exposed to airflow, enhancing the pressure differential and downforce. Understanding these principles clarifies how downforce is applied in aerodynamic contexts.
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Ok need some help here with downforce:

So far what i understand is that due to the different areas which air have to cover, when it goes over a surface with a larger area at the same time where the otherside has a smaller area the top will have a greater velocity and due to Bernoullis Principle it will have a decrease in pressure.

Vice-versa for the bottom side.

What i don't understand is how the force is applied?

From Wikipedia.org i found this image here:

http://upload.wikimedia.org/math/6/5/b/65b94fadeb8c96552b6242d37ed84efb.png

Which is the equation for determining Lift. Would downforce just be negative lift? Another two things which i don't understand in that equation is the "frontier of the domain? and the last three terms.

Is there a simple way of explaining downforce using Bernoulli's Principle and say the equation for Pressure; P=F/A ?

There is also the variable of "angle of attack" which i understand to be the angle at which the air "hits" the object.

Thanks.
 
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Downforce is created by the difference in air pressure above and below an object. The air pressure below the object is greater than the air pressure above the object, resulting in a net downward force. This effect is achieved by increasing the area of the surface exposed to the air on the bottom of the object, creating a larger surface area for the air to pass over. As the air passes over the object and encounters the larger surface area, it is forced to slow down and therefore experiences a decrease in pressure. This decrease in pressure below the object creates a relative increase in pressure above the object, resulting in a net downward force. The angle of attack affects the magnitude of the downforce generated, as the angle of attack increases, the area of the bottom surface exposed to the air increases, resulting in a greater difference in air pressure and thus greater downforce.
 
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