Modelovanje kinetike hidrodestilacije etarskog ulјa ploda kleke (Juniperus communis L.) nelinearnom regresijom
Article Sidebar
Main Article Content
Abstract
U ovom radu su prikazani rezultati modelovanja kinetike hidrodestilacije etarskog ulјa ploda kleke polinomno-logaritamskim modelom, dobijeni primenom nelinerane regresije. Za razliku od postojećih modela, gde je potrebno poznavanje ukupne količine etarskog ulјa koje se može izdvojiti iz bilјke () kako bi se odredili parametri modela, u našem modelu je ta veličina sastavni deo nepoznatih parametara modela koji se određuju nelinearnom regresijom. Razvijeni model daje bolјe slaganje sa eksperimentalnim vrednostima u odnosu na postojeće, opšteprihvaćene kinetičke modele ovog procesa, što je dokazano upotrebom nekoliko različitih mera odstupanja izračunatih u odnosu na eksperimentalno dobijene rezultate.
Article Details
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors grant to the Publisher the following rights to the manuscript, including any supplemental material, and any parts, extracts or elements thereof:
- the right to reproduce and distribute the Manuscript in printed form, including print-on-demand;
- the right to produce prepublications, reprints, and special editions of the Manuscript;
- the right to translate the Manuscript into other languages;
- the right to reproduce the Manuscript using photomechanical or similar means including, but not limited to photocopy, and the right to distribute these reproductions;
- the right to reproduce and distribute the Manuscript electronically or optically on any and all data carriers or storage media – especially in machine readable/digitalized form on data carriers such as hard drive, CD-Rom, DVD, Blu-ray Disc (BD), Mini-Disk, data tape – and the right to reproduce and distribute the Article via these data carriers;
- the right to store the Manuscript in databases, including online databases, and the right of transmission of the Manuscript in all technical systems and modes;
- the right to make the Manuscript available to the public or to closed user groups on individual demand, for use on monitors or other readers (including e-books), and in printable form for the user, either via the internet, other online services, or via internal or external networks.
How to Cite
References
S. Milojević, S. Glišić, D. Skala, The batch fractionation of Juniperus communis L. essential oil: experimental study, mathematical simulation and process economy, Chem. Ind. Chem. Eng. Q. 16 (2010) 183–191.
H. Sovova, S. Aleksovski, Mathematical model for hidrodistillation of essential oils, Flavour Fragr. J. 21 (2006) 881–889.
S. Milojević, T. Stanković, R. Plić, M. Lazić, V. Veljković, Kinetics of distillation of essential oil from comminuted ripe juniper (Juniperus communis L.) berries, Biochem. Eng. J. 3 (2008) 574–553.
F. Graybill, H. Iyer, Regression Analysis: Concepts and Applications, Duxbury Press, Belmont, CA, 1994.
M. Stanković, V. Veljković, M. Lazić, Bioaktivni proizvodi iz ploda kleke (Juniperus communis L.), Univerzitet u Nišu, Tehnološki fakultet, Leskovac, 1994.
D. Skala, I. Žižović, S. Petrović, Etarska ulja – destilacija, ekstrakcija, izbor tehnologije i kvalitet, Hem. Ind. 53 (1999) 123–139.
S. Milojević, Kinetika hidrodestilacije, karakterizacija i frakcionisanje etarskog ulja ploda kleke (Juniperis communis L.), doktorska disertacija, Univerzitet u Beogradu, Tehnološko-metalurški fakultet, Beograd, 2011.
E. Cassel, R.M.F. Vargas, Experiments and modeling of the Cymbopogon winterianus essential oil extraction by steam distillation, J. Mex. Chem. Soc. 50 (2006) 126–129.
C. Boutekedjiret, F. Bentahar, R. Belabbes, J. Bessiere, Comparative study of the kinetics extraction of rosemary essential oil by steam distillation and hydrodistillation, Récent. Prog. Génie Procédés 92 (2005).
E.H. Benyoussef, S. Hasni, R. Belabbes, J.M. Bessiere, Modelisation du transfert de matiere lors de l extraction de l huile essentielle des fruits de coriandre, Chem. Eng. J. 85 (2002) 1–5.
C. Bishop, Pattern Recognition and Machine Learning, Springer-Verlag, New York, 2006.
V. Pavićević, S. Milojević, D. Radosavljević, V. Veljković, M. Ristić, Energy consumption optimization of essential oil hydrodistillation from juniper berries, VI International Conference on Sustainable Energy and Environmental Protection (SEEP), Proceedings, Maribor, Slovenia, 2013, pp. 601–607.
S. Milojević, D. Radosavljević, V. Pavićević, S. Pejanović, V. Veljković, Modeling the kinetics of essential oil hydrodistillation from plant materials, Hem. Ind. 67 (2013) 843–859.
М. Marković, Uticaj staništa biljke i usitnjavanje ploda na prinos, sastav i kinetiku hidrodestilacije ulja kleke, diplomski rad, Univerzitet u Prištini, Fakultet tehničkih nauka, Kosovska Mitrovica, 2011.
M. Radović, Ispitivanje kinetike hidrodestilacije ploda kleke (Juniperus communis L.), diplomski rad, Univerzitet u Beogradu, Tehnološko−metalurški fakultet, Beograd, 2012.
M. Simić, Karakterizacija etarskog ulja ploda kleke (Juniperus communis) dobijenog hidrodestilacijom mikrotalasnim zagrevanjem, diplomski rad, Univerzitet u Beogradu, Tehnološko-metalurški fakultet, Beograd, 2011.
S. Glišić, Frakciono razdvajanje etraskog ulja kleke, Diplomski rad, Univerzitet u Beogradu, Tehnološko–metalurški fakultet, Beograd, 2003.
S. Simić, Karakterizacija etarskog ulja ploda kleke (Juniperus communis) dobijenog hidrodestilacijom standard-nim električnim zagrevanjem, diplomski rad, Univerzitet u Beogradu, Tehnološko−metalurški fakultet, Beograd, 2011.
C. Ritz, J. C. Streibig, Nonlinear Regression with R, Springer Science & Business Media, New York, 2008.
H. Akaike, A new look at the statistical model identification, IEEE Trans. on Autom. Control 19 (1974) 716–723.
D.M. Bates, D.G. Watts, Nonlinear Regression Analysis and Its Applications, Wiley, New York, 1988.
D. Stewart, The chemistry of essential oils – made simple, Care Publications, Marble Hill, Mo, 2005.
G.A.F. Seber, C.J. Wild, Nonlinear Regression, Wiley, New York, 1989.
G.K. Smyth, Nonlinear regression, Vol. 3, in Encyclopedia of Environmetrics, John Wiley & Sons, Chichester, 2002, pp. 1405–1411.
G. McPherson, Applying and Interpreting Statistics: A Comprehensive Guide, Springer Science+Business Media, New York, 2001.
G. Smith, Econometric Principles and Data Analysis, Centre for Financial and Management Studies SOAS, University of London, London, 2013
H.J. Motulsky, L.A. Ransnas, Fitting curves to data using nonlinear regression: a practice and nonmathematical review, FASEB J. (1987) 365–374.
J. More, The Levenberg-Marquardt algorithm: implementation and theory, in G.A. Watson (Ed.), Lecture Notes in Mathematics 630: Numerical Analysis, Springer-Verlag, Berlin, 1978, pp. 105–116.
M. Benšić, N. Šuvak, Primijenjena statistika, Sveučilište J. J. Strossmayera u Osijeku Odjel za matematiku, Osijek, 2013.
M.G. Cerpa, R.B. Mato, M.J. Cocero, Modeling steam distillation of essential oils: application to lavandin super oil, AIChE J. 54 (2008) 909–917.
N.R. Draper, H.S. Wiley, Applied Regression Analysis, 3rd ed., New York, 1998.
P. Teetor, R Cookbook, OReilly, Sebastopol, CA, 2011.
R. Butkienë, O. Nivinskienë, D. Mockutë, Chemical composition of unripe and ripe berry essential oils of Juniper communis L. growing in Vilnius district, Chemija 15 (2004) 57–63.
R.I. Kabacoff, R in Action – Data Analysis and Graphics with R, 2nd ed., Manning Publications Co., Shelter Island, 2011.
T. Elzhov, K .Mullen, A. Spiess, B. Bolker, R Interface to the Levenberg-Marquardt Nonlinear Least-Squares Algorithm Found in MINPACK, Plus Support for Bounds, R Packag version 1, 2015, pp. 1–9.
W. Chang, R Graphics Cookbook, OReilly, Sebastopol, CA, 2013.