Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source
An analytical study is conducted to examine the influence of thermal gradients and heat sources on the onset of two-component Rayleigh–Bènard (TCRB) convection using the Darcy model. The study takes into account the effects of local thermal non-equilibrium (LTNE), thermal profiles, and heat sources....
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MDPI AG
2023-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/20/4282 |
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| author | Varalakshmi K. Balaji Manjunatha Narayanappa Ramalingam Udhayakumar Ghada AlNemer Sumithra Ramakrishna Gangadharaih Yeliyur Honnappa |
| author_facet | Varalakshmi K. Balaji Manjunatha Narayanappa Ramalingam Udhayakumar Ghada AlNemer Sumithra Ramakrishna Gangadharaih Yeliyur Honnappa |
| author_sort | Varalakshmi K. Balaji |
| collection | DOAJ |
| description | An analytical study is conducted to examine the influence of thermal gradients and heat sources on the onset of two-component Rayleigh–Bènard (TCRB) convection using the Darcy model. The study takes into account the effects of local thermal non-equilibrium (LTNE), thermal profiles, and heat sources. The composite structure is horizontally constrained by adiabatic stiff boundaries, and the resulting solution to the problem is obtained using the perturbation approach. The various physical parameters have been thoroughly examined, revealing that the fluid layer exhibits dominance in the two-layer configuration. It has been observed that the parabolic profile demonstrates greater stability in comparison to the step function. Conversely, in the setup where the porous layer dominates, the step function plays a crucial role in maintaining stability. The porous layer, model (iv), exhibits greater stability in the predominant combined structure, while the linear configuration is characterized by higher instability. |
| first_indexed | 2024-03-10T21:04:31Z |
| format | Article |
| id | doaj.art-30660a619e0d4c15b65c8d2de639ff41 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T21:04:31Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-30660a619e0d4c15b65c8d2de639ff412023-11-19T17:13:45ZengMDPI AGMathematics2227-73902023-10-011120428210.3390/math11204282Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat SourceVaralakshmi K. Balaji0Manjunatha Narayanappa1Ramalingam Udhayakumar2Ghada AlNemer3Sumithra Ramakrishna4Gangadharaih Yeliyur Honnappa5Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru 560064, IndiaDepartment of Mathematics, School of Applied Sciences, REVA University, Bengaluru 560064, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, IndiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Nrupathunga University, Bengaluru 560064, IndiaDepartment of Mathematics, RV Institute of Technology & Management, Bengaluru 560076, IndiaAn analytical study is conducted to examine the influence of thermal gradients and heat sources on the onset of two-component Rayleigh–Bènard (TCRB) convection using the Darcy model. The study takes into account the effects of local thermal non-equilibrium (LTNE), thermal profiles, and heat sources. The composite structure is horizontally constrained by adiabatic stiff boundaries, and the resulting solution to the problem is obtained using the perturbation approach. The various physical parameters have been thoroughly examined, revealing that the fluid layer exhibits dominance in the two-layer configuration. It has been observed that the parabolic profile demonstrates greater stability in comparison to the step function. Conversely, in the setup where the porous layer dominates, the step function plays a crucial role in maintaining stability. The porous layer, model (iv), exhibits greater stability in the predominant combined structure, while the linear configuration is characterized by higher instability.https://www.mdpi.com/2227-7390/11/20/4282heat sourceLTNEtwo componentthermal gradientsRayleigh–Bènard convectioncorrected internal Rayleigh numbers |
| spellingShingle | Varalakshmi K. Balaji Manjunatha Narayanappa Ramalingam Udhayakumar Ghada AlNemer Sumithra Ramakrishna Gangadharaih Yeliyur Honnappa Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source Mathematics heat source LTNE two component thermal gradients Rayleigh–Bènard convection corrected internal Rayleigh numbers |
| title | Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source |
| title_full | Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source |
| title_fullStr | Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source |
| title_full_unstemmed | Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source |
| title_short | Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source |
| title_sort | effects of ltne on two component convective instability in a composite system with thermal gradient and heat source |
| topic | heat source LTNE two component thermal gradients Rayleigh–Bènard convection corrected internal Rayleigh numbers |
| url | https://www.mdpi.com/2227-7390/11/20/4282 |
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