Statistical analysis of linear and nonlinear correlation of the Arrhenius equation constants

Chemical Engineering and Processing: Process Intensification

Volumn 36, Issue 3, 1997, Pages 243-249

  Brauner, Neima ^a   Shacham, Mordechai ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Arrhenius; Linear; Nonlinear; Regression; Statistical analysis

Indexed keywords

COMPUTATIONAL METHODS; CORRELATION METHODS; INTERPOLATION; MATHEMATICAL MODELS; REGRESSION ANALYSIS;

ARRHENIUS EQUATION CONSTANTS;

CHEMICAL OPERATIONS;

EID: 0031165391     PISSN: 02552701     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0255-2701(96)04186-4     Document Type: Article

References (13)

1. M. Shacham, N. Brauner and M.B. Cutlip, Critical analysis of experimental data, regression models and regression coefficients in data correlation, AIChE Symp. Ser., 304 (91) (1995) 305.
2. D.M. Himmelblau, Process Analysis by Statistical Methods, Wiley, New York, 1970.
3. D.M. Bates and D.G. Watts, Nonlinear Regression Analysis and its Application, Wiley, New York, 1988.
4. N.H. Chen and R. Aris, Determination of Arrhenius constants by linear and nonlinear fitting, AIChE J., 38 (1992) 626.
5. D.W. Marquardt, An algorithm for least squares estimation of nonlinear parameters, J. Soc. Ind. Appl. Math, 11 (1963) 431.
6. G.E.P. Box and W.J. Hill, Correcting inhomogeneity of variance with power transformation weighting, Technometrics, 16 (3) (1974) 385.
7. R. Wynkoop and R.H. Wilhelm, Kinetics in tubular reactor, hydrogenation of ethylene over copper-magnesia catalyst, Chem. Eng. Progr., 46 (6) (1950) 300-310.
8. J.R. Kittrell, Mathematical modeling of chemical reactions, Adv. Chem. Eng., 8 (1970) 97-198.
9. M. Shacham and M.B. Cutlip, Polymath 3.0 Users' Manual, CACHE Corporation, Austin, Texas, 1994.
10. R.L. Curl, Letter to the Editor, AIChE J., 39 (8) (1993) 1420.
11. D.I. Saleton and R.R. White, Cation-exchange resin as a catalyst in the synthesis of ethyl acetate, Chem. Eng. Prog. Symp. Ser., 48 (4) (1952) 59-74.
12. N.R. Draper and H. Smith, Applied Regression Analysis, Wiley, New York, 1981.
13. M. Shacham, J. Wisniak and N. Brauner, Error analysis of linearization methods in regression of data for the Van-Laar and Margules equations, Ind. Eng. Chem. Res., 32 (1993) 2820.