Dynamics of Liquid-Solid Fluidization

Bransom, S. H.; Pendse, S.

doi:10.1021/ie50619a031

Cited by 4 publications

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“…Thus, there is a great need for a laboratory apparatus which can study quantitative nucleation-growth rate kinetics over a wide range of conditions and in an environment at least resembling that of a continuous backmixed crystal suspension. With such empirical kinetics in hand, recent theoretical studies of CSD (Abegg et al, 1969;Bransom, 1960;Canning and Randolph, 1967;Randolph, 1965; Randolph and Larson, 1962; Robinson and Roberts, 1957; Saeman, 1956) provide a sound basis for using these data to "design" CSD, in a process sense, in large scale crystallizers.…”

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confidence: 99%

Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K₂SO₄System

Randolph¹,

Rajagopal²

1970

Ind. Eng. Chem. Fund.

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confidence: 99%

Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K₂SO₄System

Randolph¹,

Rajagopal²

1970

Ind. Eng. Chem. Fund.

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A generalized method for predicting the minimum fluidization velocity

1966

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Lu and Wang ( 3 ) . This has the advantage that in the absence of quaternary data, the corresponding &jkl may be set to zero to obtain a better approximation than by setting (Eijkl -C i j k l ) to zero.excess Gibbs free energy i, i, k, 1, m, n, p = index representing components n = moles P =pressure R = gas constant = binary two-and three-suffix coefficient T = absolute temperature x = mole fraction y = activity coefficient In a recent article Narsimhan (18) presented a generalized expression for the minimum fluidization velocity by extending the correlation proposed by Leva, Shirai, and Wen (14) into intermediate and turbulent flow reions. Based on a similar approach by employing the &ed-bed pressure drop equation of Ergun (7), an expression for the minimum fluidization velocity quite different from that of Narsimhan has been obtained ( 2 3 ) . It is the purpose of this communication to compare these two correlations and to examine the validity and applicability of each. The generalized expression given by Narsimhan consists of three equations [Equations ( 6 ) , (9), and ( 11) in his communication (18) 1. The correlation obtained by Wen and Yu ( 2 3 ) can be represented by ( N R~)~~ = d ( 3 3 . 7 ) ' + 0.0408 N G~ -33.7 (1)For nonspherical particles, the particle diameter dp is defined as the equivalent diameter of a spherical particle with the same volume. As an approximation, the particle diameter may be calculated from the geometric mean of the two consecutive sieve openings without introducing serious errors ( 2 6 ) .The major differences between the two correlations are the minimum fluidization voidage emf and the shape factor 4%.1. Narsimhan considered that for spherical emf has the value of 0.35 and is independent of e particle diameter, provided that the wall effect can be neglected. From the literature data (16, 20, 2 4 ) , as well as trrticles from the experimental data of the present investigation ( 2 3 ) , emf for spherical particles can be shown to vary from 0.36 to 0.46. Different average values of emf have V Van Heerden, et a l . ( Z Z ) 0 Fancher and Lewis (9) o.ol -Narsimhan's correlation I 0.001 aooz 0.004 aoi aoz 03 dp (in.) 986 emf Fig. 1. Correlation of voidage shape factor function -.(1 -emf)2

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The ratio of terminal velocity to minimum fluidising velocity for spherical particles

Bourgeois

Grenier

1968

Can J Chem Eng

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The analogy between the states of a particle falling at its terminal velocity in a fluid and that of a particle in a bed, at incipient fluidization by the same fluid, suggests the possibility of a correlating minimum fluidizing and terminal velocities and of predicting the minimum fluidizing velocity. A semi‐theoretical curve has been obtained, relating (Ret/Remf) to Fn = gpF (rHS – rHF) d3/μ2 and it has been compared with new experimental data collected for this purpose in the range 103

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Dynamics of Liquid-Solid Fluidization

Cited by 4 publications

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Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K₂SO₄System

Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K₂SO₄System

A generalized method for predicting the minimum fluidization velocity

The ratio of terminal velocity to minimum fluidising velocity for spherical particles

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Dynamics of Liquid-Solid Fluidization

Cited by 4 publications

References 0 publications

Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K2SO4System

Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K2SO4System

A generalized method for predicting the minimum fluidization velocity

The ratio of terminal velocity to minimum fluidising velocity for spherical particles

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Product

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Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K₂SO₄System

Direct Measurement of Crystal Nucleation and Growth Rate Kinetics in Backmixed Crystal Slurry. Study of the K₂SO₄System