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Effect of Solids Feed Grade on the Separation of Slurries in Hydrocyclones

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Hydrocyclones

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 12))

Abstract

In developing a dimensionless scale-up model for small diameter hydrocyclones the influence of the particle size distribution was studied. In order to do that a batch of dolomitic limestone was divided to obtain three different grades of the same material. Suspensions with concentrations of 15% (v/v) and 20% (v/v) for each fraction of powder were tested in three geometrically similar hydrocyclones of 22mm, 44mm and 88mm in diameter. A dimensionless expression was developed to account for the particle size distribution of feed, which presented appropriate goodness of fit and showed good agreement with correlations available in the literature.

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Abbreviations

a::

constant

A::

settling area (L2)

Ap::

projected area of particles (L2)

b::

partial regression coefficient

c::

feed solids concentration by volume

CD::

drag coefficient

Dc::

hydrocyclone body diameter (L)

Do::

overflow diameter (L)

Du::

underflow diameter (L)

Eu::

Euler number

FD::

drag force (MLT−2)

g::

gravity acceleration (LT−2)

K::

constant

k1,k2::

constants

kd::

correction factor

kp::

empirical constant for a family of geometrially similar cyclones

K′::

fluid consistency index (MTnL−2)

l::

vortex finder length of cyclone (L)

L::

overall length of cyclone body (L)

m::

exponent of correction factor depending on Dc

n::

flow behaviour index for power-law fluids, empirical exponent

np::

empirical constant for a family of geometrically similar cyclones

n′::

flow behaviour index

Q::

volumetric flow rate of feed suspensions (L3T−1)

r::

correlation coefficient

R::

multiple correlation coefficient

Re::

Reynolds number

Re*::

Reynolds number for power-law fluids

Rep*::

particle Reynolds number for power-law fluids

Rf::

underflow-to-throughput ratio

Stk50::

Stokes number

Stk50(r)::

reduced Stokes number based on reduced cut size

Stk* 50(r)::

reduced Stokes number for power-law fluids

u::

particle-fluid relative velocity (LT−1)

ug::

terminal settling velocity under gravity (LT−1)

v::

superficial velocity in the cyclone body (LT−1)

x::

independent variable

x::

particle size (L)

Xg::

mass median size (L)

X50::

cut size (L)

X50(r)::

reduced cut size (L)

y::

dependent variable

r::

viscosity coefficient for power-law fluids (ML −1Tn−2)

i::

shear rate (T−1)

ΔP::

pressure drop (ML−1T−2)

μ::

viscosity (ML−1T−1)

μa::

apparent viscosity (ML−1T−1)

ρ::

liquid density (ML−3)

ρm::

suspension density (ML−3)

ρS::

solids density (ML−3)

τ::

shear stress (ML−1T−2)

References

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Author information

Authors and Affiliations

  1. Department of Chemical Sciences, University of Chihuahua, Apdo. 1542-C, Chihuahua, Chih., Mexico

    E. Ortega-Rivas

  2. Department of Chemical Engineering, University of Bradford, Bradford, West Yorkshire, BD7 1DP, England

    L. Svarovsky

Authors
  1. E. Ortega-Rivas
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  2. L. Svarovsky
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Editor information

Editors and Affiliations

  1. University of Bradford, UK

    L. Svarovsky

  2. University of Southampton, UK

    M. T. Thew

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© 1992 Springer Science+Business Media Dordrecht

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Ortega-Rivas, E., Svarovsky, L. (1992). Effect of Solids Feed Grade on the Separation of Slurries in Hydrocyclones. In: Svarovsky, L., Thew, M.T. (eds) Hydrocyclones. Fluid Mechanics and Its Applications, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7981-0_11

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  • DOI: https://doi.org/10.1007/978-94-015-7981-0_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4180-7

  • Online ISBN: 978-94-015-7981-0

  • eBook Packages: Springer Book Archive

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