Semantic Scholar Open Access 2019 196 sitasi

A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

Devendra Kumar Jagdev Singh Kumud Tanwar D. Baleanu

Abstrak

Abstract The present article deals with the exothermic reactions model having constant heat source in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional operators are used to induce memory effects in the mathematical modeling of exothermic reactions. The patterns of heat flow profiles are very essential for heat transfer in every kind of the thermal insulation. In the present investigation, we focus on the driving force problem due to the fact that temperature gradient is assumed. The mathematical equation of the problem is confined in a fractional energy balance equation (FEBE), which furnishes the temperature portrayal in conduction state having uniform heat source on steady state. The fractional Laplace decomposition technique is utilized to obtain the numerical solution of the corresponding FEBE describing the exothermic reactions. Some numerical results for the fractional exothermic reactions model are presented through graphs and tables.

Topik & Kata Kunci

Materials Science

Penulis (4)

Devendra Kumar

Jagdev Singh

Kumud Tanwar

D. Baleanu

Format Sitasi

APA MLA BibTeX

Kumar, D., Singh, J., Tanwar, K., Baleanu, D. (2019). A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws. https://doi.org/10.1016/J.IJHEATMASSTRANSFER.2019.04.094

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Total Sitasi: 196×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.IJHEATMASSTRANSFER.2019.04.094
Akses: Open Access ✓