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Peculiarities of the solution of motion equations for a particle in force fields of different intensity

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Abbreviations

a :

complex of physical constants that characterize a particle-medium system and the force field intensity

b :

complex of physical constants that characterize the resistance to particle motion

C :

constant depending on initial conditions of particle motion

d :

particle size, m

g :

intensity of the gravity field, m/s2

R :

distance to a particle, m

R M :

distance to the point where the velocity of a particle is minimum, m

R0 :

distance at which a particle is introduced into the medium, m

t :

time, s

v :

velocity of a particle with respect to the medium, m/s

vR :

velocity component in theR direction, m/s

vΦ :

velocity component in the (p direction, m/s

vM :

velocity of a particle at the point M, m/s

v0 :

starting velocity of a particle, m/s

α:

index of power that accounts for the dependence of the force field intensity onR

Β:

index of power that accounts for flow conditions of a particle

υ:

medium viscosity, Pa s

ρ:

density, kg/m3

δρ = ρ1 :

ρ2

Φ:

polar angle of the coordinate system, rad

ψ:

coefficient of resistance

Ω:

angular speed of the medium rotation, s-1

Re:

vdρ2

1:

particle

2:

medium

References

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Tseitlin, O.A., Ponikarov, I.I. Peculiarities of the solution of motion equations for a particle in force fields of different intensity. Theor Found Chem Eng 34, 94–98 (2000). https://doi.org/10.1007/BF02757472

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