A critical comparison of approximate solutions for enhancement factor for irreversible second-order reaction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216275%3A25310%2F18%3A39912670" target="_blank" >RIV/00216275:25310/18:39912670 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.ces.2018.07.003" target="_blank" >https://doi.org/10.1016/j.ces.2018.07.003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ces.2018.07.003" target="_blank" >10.1016/j.ces.2018.07.003</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A critical comparison of approximate solutions for enhancement factor for irreversible second-order reaction

Popis výsledku v původním jazyce

In this paper, the exact numerical solution for the enhancement factor for mass transfer accompanied by an irreversible second-order reaction based on the film theory is presented. The accuracy of the numerical solution is enhanced by using non-uniform discretization steps and Richardson extrapolation. Approximate analytical solutions available in the literature for the enhancement factor for an irreversible second-order reaction were compared with presented numerical solution. All approximate solutions are able to predict the values of the enhancement factor with the relative deviations within 10% compared to the exact numerical solution for the film theory. However, the applicability of the model and some approximate solutions is limited to the fast reaction regime. The approximate solution of DeCoursey(1974), originally developed for the surface renewal theory, was adapted to the film theory by using a correction factor. The maximum relative deviation of the modified approximate solution is as low as 2.2% for entire range of parameters Ha and E-i (Hatta number and enhancement factor for instantaneous reaction), which is the best accuracy that has ever been reported for an explicit expression for the enhancement factor for an irreversible second-order reaction.

Název v anglickém jazyce

A critical comparison of approximate solutions for enhancement factor for irreversible second-order reaction

Popis výsledku anglicky

In this paper, the exact numerical solution for the enhancement factor for mass transfer accompanied by an irreversible second-order reaction based on the film theory is presented. The accuracy of the numerical solution is enhanced by using non-uniform discretization steps and Richardson extrapolation. Approximate analytical solutions available in the literature for the enhancement factor for an irreversible second-order reaction were compared with presented numerical solution. All approximate solutions are able to predict the values of the enhancement factor with the relative deviations within 10% compared to the exact numerical solution for the film theory. However, the applicability of the model and some approximate solutions is limited to the fast reaction regime. The approximate solution of DeCoursey(1974), originally developed for the surface renewal theory, was adapted to the film theory by using a correction factor. The maximum relative deviation of the modified approximate solution is as low as 2.2% for entire range of parameters Ha and E-i (Hatta number and enhancement factor for instantaneous reaction), which is the best accuracy that has ever been reported for an explicit expression for the enhancement factor for an irreversible second-order reaction.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20402 - Chemical process engineering

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Chemical Engineering Science

ISSN

0009-2509

e-ISSN

—

Svazek periodika

191

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

410-419

Kód UT WoS článku

000442381500033

EID výsledku v databázi Scopus

2-s2.0-85049440215