Research Article

New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions

Volume: 9 Number: 1 June 28, 2019
EN

New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions

Abstract

A new analytical formula for the Arrhenius integral has been proposed by using incomplete gamma functions, which is simple, accurate and reliable. The proposed formula has compared with several published the Arrhenius integral approaches, and is in agreement with the other approaches. Compared with the other approximate formulas proposed in the literature, our proposed method gives more accurate values in the precision of the activation energy as a function of x and temperature.

Keywords

References

  1. Referans1 M.E. Brown, Introduction to Thermal Analysis: Techniques and Applications, second ed., Kluwer Academic Publishers, Boston, 2001.
  2. Referans2 W.W. Wendlandt in Thermal Methods of Analysis, 2nd Edition, John Wiley & Sons, New York, 1974.
  3. Referans3 J. Cai, F. He, W. Yi and F. Yao, Chemical Engineering Journal 124 (2006) 15
  4. Referans4 J. Cai, F. Yao, W. Yi and F. He, AIChE Journal 2006, 52 (4), 1554
  5. Referans5 G.R. Heal, Thermochimica Acta 340-341 (1999) 69.
  6. Referans6 D.W. Van Krevelen, C. Va Heerden and F.J. Huntjens, Fuel, 30 (1951) 253
  7. Referans7 C.D. Doyle, Journal of Applied Polymer Science, 6 (1962) 639.
  8. Referans8 C. D. Doyle, Anal Chem 1961, 33, 77.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Erhan Eser
Türkiye

Publication Date

June 28, 2019

Submission Date

February 22, 2019

Acceptance Date

June 24, 2019

Published in Issue

Year 2019 Volume: 9 Number: 1

APA
Koç, H., & Eser, E. (2019). New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions. Bitlis Eren University Journal of Science and Technology, 9(1), 27-31. https://doi.org/10.17678/beuscitech.530584
AMA
1.Koç H, Eser E. New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions. Bitlis Eren University Journal of Science and Technology. 2019;9(1):27-31. doi:10.17678/beuscitech.530584
Chicago
Koç, Hüseyin, and Erhan Eser. 2019. “New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions”. Bitlis Eren University Journal of Science and Technology 9 (1): 27-31. https://doi.org/10.17678/beuscitech.530584.
EndNote
Koç H, Eser E (June 1, 2019) New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions. Bitlis Eren University Journal of Science and Technology 9 1 27–31.
IEEE
[1]H. Koç and E. Eser, “New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions”, Bitlis Eren University Journal of Science and Technology, vol. 9, no. 1, pp. 27–31, June 2019, doi: 10.17678/beuscitech.530584.
ISNAD
Koç, Hüseyin - Eser, Erhan. “New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions”. Bitlis Eren University Journal of Science and Technology 9/1 (June 1, 2019): 27-31. https://doi.org/10.17678/beuscitech.530584.
JAMA
1.Koç H, Eser E. New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions. Bitlis Eren University Journal of Science and Technology. 2019;9:27–31.
MLA
Koç, Hüseyin, and Erhan Eser. “New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions”. Bitlis Eren University Journal of Science and Technology, vol. 9, no. 1, June 2019, pp. 27-31, doi:10.17678/beuscitech.530584.
Vancouver
1.Hüseyin Koç, Erhan Eser. New Approximate Formula for the Arrhenius Temperature Integral by Using Incomplete Gamma Functions. Bitlis Eren University Journal of Science and Technology. 2019 Jun. 1;9(1):27-31. doi:10.17678/beuscitech.530584