Calculation of the temperature integrals used in the processing of thermogravimetric analysis data
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| Format: | Artículo científico |
| Language: | en |
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Universidad del Valle
2019
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| _version_ | 1876447841179664384 |
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| author | J. I. Carrero-Mantilla |
| author_facet | J. I. Carrero-Mantilla |
| contents | Calculation of the temperature integrals used in the processing of thermogravimetric analysis data J. I. Carrero-Mantilla A. F. Rojas-González Ingeniería Temperature integral Incomplete Gamma function Thermogravimetric analysis There is no standard procedure for calculating the generalized temperature integral, instead myriads of different approximations to it are applied in the processing of thermogravimetric analysis data. This work presents first an integration procedure based on the Simpson rule that generates reference values of the generalized temperature integral. It also reviews the available representations of the temperature integral in power series, and presents the conversion of its generalized form into the form of special functions. From the comparison with the reference values from integration it was concluded that for argument values of practical interest the generalized temperature integral is best computed as the incomplete gamma function. 2019 artículo científico 0123-3033 https://www.redalyc.org/articulo.oa?id=291362343007 https://www.redalyc.org/journal/2913/291362343007/ https://www.redalyc.org/journal/2913/291362343007/html/ https://www.redalyc.org/journal/2913/291362343007/291362343007.epub https://www.redalyc.org/journal/2913/291362343007/movil 10.25100/iyc.v21v2i.8047 en http://www.redalyc.org/revista.oa?id=2913 Ingeniería y Competitividad application/pdf Universidad del Valle Ingeniería y Competitividad (Colombia) Num.2 Vol.21 |
| format | Artículo científico |
| id | redalyc_291362343007 |
| institution | Redalyc |
| language | en |
| publishDate | 2019 |
| publisher | Universidad del Valle |
| spellingShingle | Calculation of the temperature integrals used in the processing of thermogravimetric analysis data J. I. Carrero-Mantilla Ingeniería Temperature integral Incomplete Gamma function Thermogravimetric analysis Calculation of the temperature integrals used in the processing of thermogravimetric analysis data J. I. Carrero-Mantilla A. F. Rojas-González Ingeniería Temperature integral Incomplete Gamma function Thermogravimetric analysis There is no standard procedure for calculating the generalized temperature integral, instead myriads of different approximations to it are applied in the processing of thermogravimetric analysis data. This work presents first an integration procedure based on the Simpson rule that generates reference values of the generalized temperature integral. It also reviews the available representations of the temperature integral in power series, and presents the conversion of its generalized form into the form of special functions. From the comparison with the reference values from integration it was concluded that for argument values of practical interest the generalized temperature integral is best computed as the incomplete gamma function. 2019 artículo científico 0123-3033 https://www.redalyc.org/articulo.oa?id=291362343007 https://www.redalyc.org/journal/2913/291362343007/ https://www.redalyc.org/journal/2913/291362343007/html/ https://www.redalyc.org/journal/2913/291362343007/291362343007.epub https://www.redalyc.org/journal/2913/291362343007/movil 10.25100/iyc.v21v2i.8047 en http://www.redalyc.org/revista.oa?id=2913 Ingeniería y Competitividad application/pdf Universidad del Valle Ingeniería y Competitividad (Colombia) Num.2 Vol.21 |
| title | Calculation of the temperature integrals used in the processing of thermogravimetric analysis data |
| topic | Ingeniería Temperature integral Incomplete Gamma function Thermogravimetric analysis |
| url | https://www.redalyc.org/articulo.oa?id=291362343007 https://www.redalyc.org/journal/2913/291362343007/ https://www.redalyc.org/journal/2913/291362343007/html/ https://www.redalyc.org/journal/2913/291362343007/291362343007.epub https://www.redalyc.org/journal/2913/291362343007/movil |