JR Model Guy · Oct 21, 2004 07:20 PM
#0 sourceArea of a circle = (Pi)(D)squared/4
Where: Pi = 3.1416, D = diameter
Example: Venturi diameter = 0.173 inches,
The Area is = 3.1416 x (0.173)squared/4 = 0.0235 square inches.
The question is what diameter venturi will provide half the area?
Let 0.173 be called D-1 and the area of 0.0235 called Area-1.
Then the area equations becomes: Area-1 = (Pi)(D-1)sqaured/4 = 0.0235 square inches
Then lets call the area that is one half the size Area-2. The diameter for a venturi with half the area will be called D-2. So the equation for a venturi with half the area would be:
Area-2 = (Pi)(D-2)squared/4 which we already know is 0.0235 divided by 2 = 0.01175 inches.
Without a lot of mumbo jumbo, the diameter that will give half the area, in this case, is 0.122 inches. So, going from a 0.173" diameter venturi to a 0.122" venturi will take the area down by a factor of 2. This is because the area goes down (and up) by a factor of the diameter squared.
Reducing these equations down further you will find the general case: multiplying by a factor of the square root of 2 (which equals 1.4142) you could also find the diameter for a venturi half the size of the original.
Final example: 0.122 x 1.4142 = 0.173 inches.
Numbers never lie.
Regards,