A New Approximate Analytical Expression of Non-Isothermal Diffusion Model-Reference-Cited by-同舟云学术

A New Approximate Analytical Expression of Non-Isothermal Diffusion Model

Published:2023-12-31 Issue: Volume:18 Page:279-285
ISSN:2224-3461
Container-title:WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER
language:en
Short-container-title:1790-5044

Author:

Mala J.¹,Suganya G.¹,Mallikarjuna M.¹,Senthamarai R.¹

Affiliation:

1. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, Tamilnadu, INDIA

Abstract

In this study, we’ve addressed the Lane-Emden boundary value problem that appears in biochemical, scientific, and chemical applications. We’ve used the Taylor series approach to solve the non-isothermal reaction-diffusion equation in a planar catalyst. We’ve derived the approximate analytical expression for concentration and effectiveness factors. The collected results are illustrated using appropriate graphs. The presented analysis proves the applicability of the utilized method's dependability and effectiveness. We’ve also solved the equation numerically by using MATLAB software to compare our approximate analytical solutions. Our analytical results of concentration and effectiveness factor are most appropriately matched with the numerical results. We’ve also discussed the influence of the parameters on concentration and effectiveness factors.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference20 articles.

1. Wazwaz, Abdul-Majid, The variational iteration method for solving the Volterra integro-differential forms of the Lane–Emden equations of the first and the second kind, Journal of Mathematical Chemistry, 52, 2014, 613-626.

2. Wazwaz, Abdul-Majid. The variational iteration method for solving systems of equations of Emden–Fowler type. International Journal of Computer Mathematics, 88, 2011, 3406-3415.

3. Wazwaz A.M., Rach R, Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds, Kybernetes, 40, 2011, 1305–1318.

4. Liao, Shijun, Jian Su and Allen T. Chwang, Series solutions for a nonlinear model of combined convective and radiative cooling of a spherical body. International Journal of Heat and Mass Transfer, 49, 2006, 2437- 2445.

5. Saadatmandi, Abbas, Nafiseh Nafar, and Seyed Pendar Toufighi, Numerical study on the reaction cum diffusion process in a spherical biocatalyst, Iranian Journal of Mathematical Chemistry, 5, 2014, 47-61.