fluid mechanics

two spherical rain drops of equal size are falling vertically through air with a terminal velocity of 1 m/s. what would be the terminal speed if these two drops were to coalesce to form a large spherical drop ?

5 Answers

1
skygirl ·

let both radius be r initially.

so initial vol = 4/3pir3

now, both coalesce to form a sphere of radius R.

4/3pi R3 = 2. 4/3 pi r3

=> R = r 21/3

now, from terminal vel formula,

v is prop to r2

so, v2/v1 = R2/r2

=> v2/1 = r2 22/3/r2

=> v2 = 22/3 ans.

24
eureka123 ·

volume is same
=> 2(4/3 πr3)=4/3 πR3
=>R=21/3r

and initially mg=6Ï€ n r vold
finally 2mg=6Ï€ n R vnew

put the values

24
eureka123 ·

oh.....i am late,...............again........[2][2][2]

1
sriraghav ·

ya.... i think sky types much faster especially she is more familiar with powers, latex ones etc......

1
sriraghav ·

more u know, more u answer -> more u answer , more u type->u bcum familiar!!

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