2 sphere particles of different size are released simultaneously from the top of a large container filled with water (assumed creeping flow). They have the same terminal settling velocity. Determine height difference between particles when they achieve 94% of terminal settling velocity and that assuming creeping flow was valid. Formulate a second order ODE for motion using y for position t for time.

Conditions:

particle 1 = 1300 kg/m3

d1 = 50 micro meters

particle 2 = 3600 kg/m3

density water = 1000 kg/m3

u = 0.001 N.s/m2

.... no data is missing