Differentıal Transform Method for Solvıng a Boundary Value Problem Arısıng in Chemıcal Reactor Theory

  • Vedat Suat Erturk Ondokuz Mayıs University
  • Mahmud Awolijo Chirko Robe Secondary High School

Abstract

In this study, we deal with the numerical solution of the mathematical model for an adiabatic tubular chemical reactor which processes an irreversible exothermic chemical reaction. For steady state solutions, the model can be reduced to the following nonlinear ordinary differential equation [1]:

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(1)

where lambda, mu and beta are Péclet number, Damköhler number and adiabatic temperature rise, respectively.

Boundary conditions of Eq. (1) are

gif2.gif

(2)

Differential transform method [2] is used to solve the problem (1)-(2) for some values of the considered parameters. Residual error computation is adopted to confirm the accuracy of the results. In addition, the obtained results are compared with those obtained by other existing numerical approach [3].

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Author Biographies

Vedat Suat Erturk, Ondokuz Mayıs University

Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55200, Samsun, Turkey

Mahmud Awolijo Chirko, Robe Secondary High School

Robe Secondary High School, Bale Robe, Ethiopia.

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Published
2019-12-18
How to Cite
Erturk, V. S., & Chirko, M. A. (2019). Differentıal Transform Method for Solvıng a Boundary Value Problem Arısıng in Chemıcal Reactor Theory . MathLAB Journal, 4, 126-136. Retrieved from https://purkh.com/index.php/mathlab/article/view/602
Section
Research Articles