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Prediction of the Kolmogorov Entropy Derived from Computed Tomography Data in a Bubble Column Operated under the Transition Regime and Ambient Pressure
Chemical Engineering and Technology
  • Stoyan Nedeltchev
  • Ashfaq Shaikh
  • Muthanna H. Al-Dahhan, Missouri University of Science and Technology
Abstract

The Kolmogorov Entropy (KE) Algorithm Was Successfully Applied to Single Source Γ-Ray Computed Tomography (CT) Data Measured by Three Scintillation Detectors in a 0.162 M-ID Bubble Column Equipped with a Perforated Plate Distributor (163 Holes X ∅ 1.32. 10-3 M). the Aerated Liquid Height Was Set at 1.8 M. Dried Air Was Used as a Gas Phase, While Therminol LT (PL = 886 Kg M-3, ΜL = 0.88.10-3 Pa S, Σ = 17.10-3 N M-1) Was Used as a Liquid Phase. at Ambient Pressure, the Superficial Gas Velocity, ΜG, Was Increased Stepwise with an Increment of 0.01 M S-1 Up to 0.2 M S-1. based on the Sudden Changes in the KE Values, the Boundaries of the Following Five Regimes Were Successfully Identified: Dispersed Bubble Regime (ΜG < 0.02 M S-1), First Transition Regime (0.02 ≤ UG < 0.08 M S-1), Second Transition Regime (0.08 ≤ UG < 0.1 M S-1), Coalesced Bubble Regime Consisting of Four Regions (Called 4-Region Flow; 0.1 ≤ UG < 0.12 M S-1), and Coalesced Bubble Regime Consisting of Three Regions (Called 3-Region Flow; UG > 0.12 M S-1). the KE Values Derived from Three Scintillation Detectors in the First Transition Regime Were Successfully Correlated to Both Bubble Frequency and Bubble Impact. the Latter Was Found to Be Inversely Proportional to the Bubble Froude Number. the KE Model Implies that the Bubble Size in This Particular Flow Regime is a Weak Function of the Orifice Reynolds Number (Db = 7.1.10-3 Re0-0.05). © 2007 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.

Department(s)
Chemical and Biochemical Engineering
Keywords and Phrases
  • Bubble column,
  • Computed Tomography,
  • Kolmogorov entropy,
  • Transition regime
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Wiley; Gesellschaft Deutscher Chemiker; Gesellschaft für Chemische Technik und Biotechnologie, All rights reserved.
Publication Date
10-1-2007
Publication Date
01 Oct 2007
Citation Information
Stoyan Nedeltchev, Ashfaq Shaikh and Muthanna H. Al-Dahhan. "Prediction of the Kolmogorov Entropy Derived from Computed Tomography Data in a Bubble Column Operated under the Transition Regime and Ambient Pressure" Chemical Engineering and Technology Vol. 30 Iss. 10 (2007) p. 1445 - 1450 ISSN: 1521-4125; 0930-7516
Available at: http://works.bepress.com/muthanna-al-dahhan/227/