Selami DEMİR, Aykut KARADENİZ, Kadir ULUTAŞ

CUT DIAMETER OF CYCLONE SEPARATORS: PART I. MULTIPLE NONLINEAR REGRESSION

Pressure drop and particle collection efficiency are the two operating parameters for assessing the performance of cyclone separators. Although a great number of practical models exists for predicting the cyclone pressure drop in the design phase, models for estimating particle collection efficiency is very limited. In this study, an improved mathematical model for calculating cut diameter in cyclone separators, which is a measure of particle collection efficiency, was developed based on Lapple’s formula. Modified Lapple’s formula represents the cut diameters with R2 = 0.9969 and relative mean square error (RMSE) of 2.533*10-9. Also, a new empirical regression model was proposed (R2 = 0.9619). The average errors of both models were very close to zero. Performance tests indicated that both models can be used confidently to predict cut diameter in cyclone separators.

Keywords:

Cut diameter cyclone separators, multiple nonlinear regression, particle collection efficiency,

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[1] Demir S., “A Practical Model for Estimating Pressure Drop in Cyclone Separators: An Experimental Study”, Powder Technol, 268, 329-338, 2014.
[2] Shepherd C.B., Lapple C.E., “Flow Pattern and Pressure Drop in Cyclone Dust Collectors”, Ind. Eng. Chem. Res., 31, 972-984, 1939.
[3] Alexander R.M., “Fundamentals of Cyclone Design and Operation”, Proc. Australian Inst. Min. and Metall., 152, 203-228, 1949.
[4] Stairmand C.J., “Pressure Drop in Cyclone Separators”, . Eng. Lond. 16B, 409-411, 1949.
[5] First M.W., “Fundamental Factors in the Design of Cyclone Dust Collectors”, PhD Thesis, Harvard University, USA, 1950.
[6] Barth W., “Design and Layout of the Cyclone Separator on the Basis of New Investigations”, Brennst.Warme-Kraft, 8, 1-9, 1956.
[7] Casal J., Martinez-Benet J.M, “A Better Way to Calculate Cyclone Pressure Drop”, Chem. Eng. N.Y., 99, 100-111, 1983.
[8] Chen J., Shi M, “A Universal Model to Calculate Cyclone Pressure Drop”, Powder Technol., 171, 184-191, 2007.
[9] Theodore L., De Paola V., “Predicting cyclone efficiency”, JAPCA J. Air Waste Ma., 30, 1132-1133, 1980.
[10] Elsayed K., Lacor C., “Optimization of Cyclone Separator Geometry for Minimum Pressure Drop Using Mathematical Models and CFD Simulations”, Chem. Eng. Sci. 65, 6048-6058, 2010.
[11] Elsayed K., Lacor C. “Numerical Modeling of the Flow Field and Performance in Cyclones of Different Cone-tip Diameters”, Comput. Fluids, 51, 48-59, 2011.
[12] Elsayed K., Lacor C., “The Effect of Cyclone Inlet Dimensions on the Flow Pattern and Performance”, Appl. Math. Model., 35, 1952-1968, 2011.
[13] Elsayed K., Lacor C., “The Effect of Dust Outlet Geometry on the Performance and Hydrodynamics of Gas Cyclones”, Comput. Fluids, 68, 134-147, 2012.
[14] Ci H., Sun G., “Effects of Wall Roughness on the Flow Field and Vortex Length of Cyclone”, Procedia Eng., 102 6919-6928, 2015.
[15] Azadi M., Mohebbi A., “A CFD study of the effect of cyclone size on its performance parameters”, J Hazard. Mater., 182, 835-841, 2010.
[16] Brar L.S., Sharma R.P., Elsayed K., “The Effect of the Cyclone Length on the Performance of Stairmand High-Efficiency Cyclone”, Powder Technol. 286, 668-677, 2015.
[17] Brar L.S., Sharma R.P., Dwivedi R., “Effect of Vortex Finder Diameter on Flow Field and Collection Efficiency of Cyclone Separators”, Part. Sci. Technol., 33, 34-40, 2015.
[18] Demir S., Karadeniz A., Aksel M., “Effects of Cylindrical and Conical Heights on Pressure and Velocity Fields in Cyclones”, Powder Technol.295, 209-217, 2016.
[19] Brar L.S., Elsayed K., “Analysis and Optimization of Cyclone Separators with Eccentric Vortex Finders Using Large Eddy Simulation and Artificial Neural Network”, Sep. Purif. Technol., 207, 269-283, 2018.
[20] Lapple C.E., “Processes Use Many Collector Types”, Chem Eng. 58, 144, 1951.
[21] Karadeniz A, “Stairmand Tipi Yüksek Verimli Siklon Geometrisindeki Modifikasyonların Partikül Tutma Verimi ve Basınç Kaybına Etkisi (In Turkish)”, MSc Thesis, Institute of Natural Sciences, Yıldız Technical University, Istanbul, 2015.
[22] Demir S., Karadeniz A., Civelek Yörüklü H., Manav Demir N., “An MS Excel Tool for Parameter Estimation by Multiple Nonlinear Regression in Environmental Engineering Education”, Sigma J. Eng. Nat. Sci. 35, 265-273.
[23] Bayrakdar A., Onder R., Çallı B., “Anaerobic Digestion of Chicken Manure by a Leach-Bed Process Coupled with Side-Stream Membrane Ammonia Separation”, Bioresour. Technol., 258, 41-47, 2018.