A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws
By Devendra Kumar, Jagdev Singh, Kumud Tanwar, Dumitru Băleanu. International Journal of Heat and Mass Transfer, 2019
196 citations recorded by the source corpus.
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.
Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/d5b7b20f594a16d20668fd3ba5814a67ade89378
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In Biomedical Engineering
In Modeling and Simulation
- Dumitru Băleanu
- Jagdev Singh
- Devendra Kumar
- Mehmet Yavuz
- Thabet Abdeljawad
- Arran Fernandez
- Abdon Atangana
- Doddabhadrappla Gowda Prakasha
In Numerical Analysis
- Dumitru Băleanu
- Jagdev Singh
- Devendra Kumar
- Arran Fernandez
- Mehmet Yavuz
- Thabet Abdeljawad
- Doddabhadrappla Gowda Prakasha
- Pundikala Veeresha
Citations in the corpus
- On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law (2019, background): “Let Equation (28) be held, thus on taking. k ¼ 0; K ¼ α2 β1ϖ1 ηð Þ þ β2ϖ2 ηð Þf g: (29) Then Equation (29) exhibits that for Τ : Α → Α along with the condition surrounding the Theorem 1 satisfies.”