New procedure for derivation of approximations for temperature integral
โ Scribed by Haixiang Chen; Naian Liu
- Publisher
- American Institute of Chemical Engineers
- Year
- 2006
- Tongue
- English
- Weight
- 104 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0001-1541
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
A new procedure for the derivation of the approximations for temperature integral from its derivatives is presented. This procedure can produce a series of the approximations, including some published and some new ones. By combining the different order derivatives of temperature integral, a new approximation is proposed. The corresponding equation for the evaluation of kinetic parameters can be put in the form
The validity of the new approximation has been tested with the true value of temperature integral from numerical calculation. Compared with several published approximations, the new one has the highest accuracy and at the same time retains simplicity, which indicates it is a good approximation for the evaluation of kinetic parameters from nonisothermal kinetic analysis. ยฉ 2006 American Institute of Chemical Engineers AIChE J, 2006
๐ SIMILAR VOLUMES
A symbolic procedure for deriving various finite difference approximations for the three-dimensional Poisson equation is described. Based on the software package Mathematica, we utilize for the formulation local solutions of the differential equation and obtain the standard second-order scheme (7-po