A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium
The convective heat transfer is one of the most important mechanism of heat transference for controlling the chaotic characteristics in porous media. A comparative study of thermal non-equilibrium model is proposed for fractal porous under the consideration of chaotic convection. A novel chaos contr...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | South African Journal of Chemical Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1026918524001264 |
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| author | Kashif Ali Abro Imran Qasim Memon Ali Yousef Qasem M. Al-Mdallal |
| author_facet | Kashif Ali Abro Imran Qasim Memon Ali Yousef Qasem M. Al-Mdallal |
| author_sort | Kashif Ali Abro |
| collection | DOAJ |
| description | The convective heat transfer is one of the most important mechanism of heat transference for controlling the chaotic characteristics in porous media. A comparative study of thermal non-equilibrium model is proposed for fractal porous under the consideration of chaotic convection. A novel chaos control is focused between fractal porous and fractional porous by means of newly proposed differential and integral techniques. The sensitivity analysis for chaos expansion and uncertainty quantification for the flow in heterogeneous media have been perceived to the problem of chaotic convection through numerical simulations. In order to approximate the propagation of chaos, two types of simulations have been carried out in terms of chaotic attractors through fractal and fractional approaches. For examining a variety of chaos under the numerical simulations in which fractal domain is varied and fractional domain is fixed, fractal domain is fixed and fractional domain is varied, and both fractal as well as fractional domain are varied. Finally, it is observed that the fractional and fractal memory effects have caused by interactions between uncertain parameters and disclosed the microstructures on the permeability of porous media. |
| format | Article |
| id | doaj-art-9bbda5a2db864467a8d5f62abc8cdde5 |
| institution | Kabale University |
| issn | 1026-9185 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | South African Journal of Chemical Engineering |
| spelling | doaj-art-9bbda5a2db864467a8d5f62abc8cdde52025-01-19T06:24:15ZengElsevierSouth African Journal of Chemical Engineering1026-91852025-01-0151124135A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous mediumKashif Ali Abro0Imran Qasim Memon1Ali Yousef2Qasem M. Al-Mdallal3Department of Mathematical Sciences, United Arab Emirates University P.O. Box 15551, Al Ain, United Arab Emirates; Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, PakistanDepartment of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, PakistanDepartment of Natural Sciences and Mathematics, College of Engineering, International University of Science and Technology, 92400 Al Ardiya, KuwaitDepartment of Mathematical Sciences, United Arab Emirates University P.O. Box 15551, Al Ain, United Arab Emirates; Corresponding author.The convective heat transfer is one of the most important mechanism of heat transference for controlling the chaotic characteristics in porous media. A comparative study of thermal non-equilibrium model is proposed for fractal porous under the consideration of chaotic convection. A novel chaos control is focused between fractal porous and fractional porous by means of newly proposed differential and integral techniques. The sensitivity analysis for chaos expansion and uncertainty quantification for the flow in heterogeneous media have been perceived to the problem of chaotic convection through numerical simulations. In order to approximate the propagation of chaos, two types of simulations have been carried out in terms of chaotic attractors through fractal and fractional approaches. For examining a variety of chaos under the numerical simulations in which fractal domain is varied and fractional domain is fixed, fractal domain is fixed and fractional domain is varied, and both fractal as well as fractional domain are varied. Finally, it is observed that the fractional and fractal memory effects have caused by interactions between uncertain parameters and disclosed the microstructures on the permeability of porous media.http://www.sciencedirect.com/science/article/pii/S1026918524001264Non-equilibrium model of fluid saturated by porous domainChaos control via fractal and fractional approachNumerical simulations |
| spellingShingle | Kashif Ali Abro Imran Qasim Memon Ali Yousef Qasem M. Al-Mdallal A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium South African Journal of Chemical Engineering Non-equilibrium model of fluid saturated by porous domain Chaos control via fractal and fractional approach Numerical simulations |
| title | A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium |
| title_full | A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium |
| title_fullStr | A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium |
| title_full_unstemmed | A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium |
| title_short | A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium |
| title_sort | comparative analysis of fractal and fractionalized thermal non equilibrium model for chaotic convection saturated by porous medium |
| topic | Non-equilibrium model of fluid saturated by porous domain Chaos control via fractal and fractional approach Numerical simulations |
| url | http://www.sciencedirect.com/science/article/pii/S1026918524001264 |
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