Mass transfer of a single bubble in a minimally fluidized granular bed |
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Authors: | V A Borodulya Yu A Buevich V I Dikalenko |
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Affiliation: | (1) Lykov Institute of Heat and Mass Transfer, Academy of Sciences of the BSSR, Minsk;(2) Institute of Problems of Mechanics, Academy of Sciences of the USSR, Moscow |
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Abstract: | The transfer of a gas admixture through the boundary of a cloud of closed circulation of gas is examined with a view to both molecular and convective dispersion.Notation
a
particle radius
- c
concentration of the admixture
-
D, D
c
tensors of effective diffusion coefficients and of coefficients of convective dispersion, respectively
- D
parameter in (14)
- D0, Dm
coefficients of molecular diffusion, respectively not taking and taking compressibility into account
- F, f
functions in (17) and (18), respectively
- f
fraction of the volume of the sphere with radius RB occupied by the wake of the bubble
- g
acceleration of gravity
- K
mass-transfer coefficient determined in (22)
- k
coefficient in (7)
- L
coefficient in (22)
- p, s
functions determined in (13)
- Q, q
flow of admixture for the entire bubble and local flow, respectively
- rB, Rc
radii of bubble and of cloud of closed circulation, respectively
- r
radial coordinate
- U
lift velocity of the bubble
- u=v-w; u0=u*/ u*
minimum velocity of fluidization
- V
volume of bubble
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v, w
mean gas velocities in the gaps between particles and of the particles, respectively
-
parameter determined in (8)
-
, ![gamma](/content/t0n120l2x8058l4g/xxlarge947.gif)
parameters from (14)
-
porosity of the dense phase and of the cloud
-
polar angle
-
independent variable introduced in (12)
-
p = 1 -![epsiv](/content/t0n120l2x8058l4g/xxlarge603.gif)
flow function
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 2, pp. 323–333, August, 1980. |
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Keywords: | |
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