Question

28.6 In a mass-transfer spray column, a liquid is sprayed into a gas stream, and mass is transferred between the liquid and gas phases. The mass of the drops that are formed from a spray nozzle is considered a function of the nozzle diameter, accel- eration of gravity, surface tension of the liquid against the gas, fluid density, fluid viscosity, fluid velocity, and the viscosity and density of the gas medium. Arrange these variables in dimen- sionless groups. Should any other variables have been included?

Answer 1

Answer-

Variables included in the problem are and dimensional expression is given-

Variables en O mass (m) nozzle diameterld) accaleratin gro-vity a ufau turion () fluid dwsdty () fluind wiseotity (A fid veloiuty (V problem ane bimeuaianal aenion OM LL 4/4/2 M/t2 M/it M/Lt duvity go() Hente, the nember 1 demennonlen roeps dimeursns humber number vauables 9 tandameudal 9-3 refrence vauaubles d V and , Need to choo se a oet at would be e=MA3 Need to derie eguatoio ii teansLm ard + L-d + d/v M ed3

deinenronal quatzen in term Buoutaty ineuional eypression M term fenu vaualy ed3 42 eLdv G M/t2 M/Lt M/13 M/LH Hanes Tue ulten diiuninal eduialdy ane elds N 2 2 N2 N4 Redv 시L NS RLdv R divide sne sidi by anothn itwaitd dumevrioh es iduil be 1