In a vertical circular pipe with 25mm inner diameter, the mixture of water and gas flow together, the pressure is atmosphere pressure. Calculating flow specific volume of two-phase flow. Some known parameters: gas density is 1.2kg/m3, liquid density is 1000kg/m3. The mass flux of gas (G’’) is 200kg/m2s, the superficial velocity for water is 1.5m/s.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft