Static Pressure Formula for Tornado Type Wind Turbine

[rickeeee]

Hi Everyone,
I'm interested in a formula posted in an invention patented 30 years ago for a Tornado Type Wind Turbine. The wind blows through an opening in a tube shaped tower and is turned onto itself. This causes the wind speed to increase to three times the ambient wind speed (and the pressure drops too). The formula contains the static pressure before and after the turbine - they used "P1 - P2" over "1/2 (ρV1)2" - as well as a number of other variables.

I would like to know how to determine the static pressure at different wind speeds. I keep running into different formulas, but all of them are for different types of calculations (like the pressure against a building due to the wind).

Can anyone tell me what law and / or which formula I should use for this type of problem? Also, what units should the values of P1 and P2 be (psi, millibars, other)? Thanks so much!
Cheers,
Rick

 

[eljose79]

Hi Rick,

Thank you for your question. The formula you mentioned from the patented invention for the Tornado Type Wind Turbine is likely based on the Bernoulli's principle, which states that as the speed of a fluid (such as air) increases, its pressure decreases. This principle is commonly used in fluid dynamics, including in the design of wind turbines.

To determine the static pressure at different wind speeds, you will need to consider the variables mentioned in the formula: P1 and P2 (static pressures before and after the turbine), ρ (air density), and V1 (wind speed before the turbine). The units for P1 and P2 can be in any unit of pressure, such as psi or millibars, as long as they are consistent with each other and with the units used for the other variables.

To calculate the static pressure at different wind speeds, you will need to use the formula you mentioned: P1 - P2 / 1/2 (ρV1)^2. This will give you the difference in static pressure before and after the turbine, which can then be used to determine the increase in wind speed (V1) and the decrease in pressure (P1-P2).

Alternatively, you can also use the Bernoulli's equation, which takes into account the total pressure (static pressure + dynamic pressure) before and after the turbine. This equation is P1 + 1/2ρV1^2 = P2 + 1/2ρV2^2, where V2 is the wind speed after the turbine. This equation can be rearranged to solve for P1 or P2 depending on which one you are trying to calculate.

I hope this helps answer your question. As always, it is important to double check and verify any calculations and equations before using them in a practical application. Good luck with your research!