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Continuous flow systems. Distribution of residence times

Danckwerts, P.V.·1995·Chemical Engineering Science

DOI 10.1016/0009-2509(96)81811-2

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Kinetic theory of gases
Present, R. D. (1958) · McGraw-Hill eBooks · Cited by 1,995
Mathematics of Adsorption in Beds. VI. The Effect of Longitudinal Diffusion in Ion Exchange and Chromatographic Columns
Lapidus, L., & Amundson, N. R. (1952) · The Journal of Physical Chemistry · doi:10.1021/j150500a014 · Cited by 947
The definition and measurement of some characteristics of mixtures
Danckwerts, P. V. (1952) · Applied Scientific Research · doi:10.1007/bf03184936 · Cited by 898
Self-citation
Velocities and Effective Thermal Conductivities in Packed Beds
Morales, M., Spinn, C. W., & Smith, J. M. (1951) · Industrial & Engineering Chemistry · doi:10.1021/ie50493a055 · Cited by 89
Gas and Solid Mixing in Fluidized Beds
Gilliland, E. R., & Mason, E. A. (1949) · Industrial & Engineering Chemistry · doi:10.1021/ie50474a013 · Cited by 83
GAS MIXING IN BEDS OF FLUIDIZED SOLIDS
Gilliland, E. R., & Mason, E. A. (1952) · Industrial & Engineering Chemistry · doi:10.1021/ie50505a060 · Cited by 79
C. Distribution of reaction times for laminar flow in cylindrical reactors
Bosworth, R. C. L. (1948) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786444808521811 · Cited by 69
The kinetics of continuous reaction processes: Application to polymerization
Denbigh, K. G. (1951) · Journal of Applied Chemistry · doi:10.1002/jctb.5010010508 · Cited by 48
Radioactive Tracers to Mark Interfaces and Measure Intermixing in Pipelines
Hull, D. E., & Kent, J. W. (1952) · Industrial & Engineering Chemistry · doi:10.1021/ie50515a066 · Cited by 46
XXIX. Distribution of reaction times for turbulent flow in cylindrical reactors
Bosworth, R. C. L. (1949) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786444908561253 · Cited by 28

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Beaudry, 1948, Chem. Engng, 55, 112
Danckwerts, 1951, Ind. Chemist, 27, 395
Danckwerts, 1952, Coke and Gas, 14, 247
Fowler, 1943, Trans. Amer. Inst. Chem. Engng, 39, 491
Hull, 1949, World Oil, 129, 188
Smith, 1948, Petroleum Engng, 19, 94
Smith, 1948, Petroleum Engng, 20, 330
Bernard, 1950, Chem. Engng. Prog., 46, 233

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Untitled work
Taillefer (2000) · doi:10.1002/(sici)1520-6017(200001)89:1

Authors: Danckwerts, P. V.
Affiliations: University of Cambridge (GB)
Corresponding author: Danckwerts, P.V.
Venue: Chemical Engineering Science
Publisher: Elsevier BV
Published: 1995-12
Volume: 50
Issue: 24
Pages: 3857-3866
ISSN: 0009-2509 (ISSN-L)
DOI: 10.1016/0009-2509(96)81811-2
OpenAlex: W2107475321
Cited by: 1,274
References: 11
Citations by year: 2026: 16 · 2025: 17 · 2024: 7 · 2023: 15 · 2022: 13 · 2021: 42 · 2020: 27 · 2019: 44 · 2018: 53 · 2017: 36 · 2016: 44 · 2015: 49 · 2014: 51 · 2013: 57 · 2012: 55
FWCI: 30.39
Type: journal article
Language: en
Open access: closed
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/legal/tdmrep-license (tdm)
Locations: Chemical Engineering Science (publishedVersion)
Topics: Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Fluid Dynamics and Mixing
Physical Sciences › Engineering › Computational Mechanics › Heat and Mass Transfer in Porous Media
Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Innovative Microfluidic and Catalytic Techniques Innovation
Keywords: residence time distribution, continuous flow system, open tube, reactor efficiency, non-ideal flow, plug flow, ideal mixing

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Continuous flow systems. Distribution of residence times

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