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Hydrodynamic contact between a rotating roll and a semipermeable tray

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Abstract

A viscous fluid flow in the gap between a side surface of a rotating roll and a rectangular cavity with a semipermeable bottom surface is considered in the Reynolds approximation.

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Abbreviations

x, y, z:

Cartesian coordinates

U :

peripheral velocity of the roll

W :

translational velocity of the tray

h :

gap height

h 0 :

minimum gap

σ:

side gap

v x,v y,v z :

velocity components

K :

coefficient of channel wall permeability

P,504-1 :

dimensional and dimensionless pressures

R :

roll radius

S :

channel width

μ:

fluid viscosity

α:

angle

x0,1, λ, λ:

dimensional and dimensionless coordinates of the flow zone boundaries

Г:

dimensionless permeability

ϕ:

friction

Δ,q :

geometrical simplexes

ρ:

dimensionless variable

Q :

bulk flow rate of fluid

F :

buoyancy force

N :

power

I 1,I 2 :

integral parameters of flow

ω1, ω2 :

angular velocities of rotor and cylinder

ρc :

fluid density

q :

gravity acceleration

Re:

Reynolds number

R 1,R 2 :

radii of cylinder and rotor in a granulator

References

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    N. I. Basov and V. Broi (Editors), Technology of Processing Plastics [in Russian], Moscow (1985).

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    L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Moscow-Leningrad (1962).

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    D. M. McKelvi, Processing of Polymers [Russian translation], Moscow (1965).

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    B. D. Vechter, B. M. Shapovalov, and N. V. Tyabin, Plastmassy, No. 9, 39–40 (1991).

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    V. V. Khokhlov and V. M. Shapovalov, Mathematical simulation in the processes of production and processing of polymers. Extended Abstracts of the 2nd Regional Scientific-Engineering Conference, Perm (1992), p. 2.

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Additional information

Volgograd Technical University. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 4, pp. 612–618, July–August, 1995.

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Shapovalov, V.M. Hydrodynamic contact between a rotating roll and a semipermeable tray. J Eng Phys Thermophys 68, 500–505 (1995). https://doi.org/10.1007/BF00858667

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Keywords

  • Statistical Physic
  • Fluid Flow
  • Tray
  • Bottom Surface
  • Viscous Fluid