User:Eguygabe/sandbox

Windhexe is a grinding and dehydrating apparatus operated with compressed air typically used in waste reduction and food processing. It requires a low pressure, high volume air source. One of the biggest drawbacks to using this type of machine is the large energy requirement as demonstrated in the following mathematical procedure.


 * $$P = (F H)/1000 = [k/(k-1)] [w R T1/9806][(P2/P1)^((k-1)/k) - 1]

,$$


 * 1) P = theoretical power, in kW (kilowatts) which is same as (Nm/s)/1000
 * 2) F = (mass flow of gas, in kg/s)(9.806 m/s2), in kg•m/s3 which is same as N/s
 * 3) N = Newtons
 * 4) m = meters
 * 5) s = seconds
 * 6) H = adiabatic head, in meters
 * 7) k = cp/cv = specific heat of gas at constant pressure/ specific heat at constant volume
 * 8) T1 = inlet temperature, in °K (degrees Kelvin)
 * 9) R = (universal gas constant, in J/kgmol•°K)/MW = 8314/MW
 * 10) MW = molecular weight of gas (dimensionless)
 * 11) P1 = absolute inlet pressure, in kPa (kiloPascals)
 * 12) P2 = absolute discharge pressure. in kPa

To obtain the actual power, simply divide the theoretical power by the compressor efficiency which you will have to obtain from the manufacturer.