Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow
The influence of the throughflow and gravity fluctuation on thermosolutal convection in an anisotropic porous bed with the Darcy–Brinkman effect is considered numerically. The critical Rayleigh numbers for the onset of stationary and oscillatory modes have been found via linear instability analysis....
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-03-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/6/1287 |
| _version_ | 1827748930893381632 |
|---|---|
| author | Gangadharaiah Yeliyur Honnappa Manjunatha Narayanappa Ramalingam Udhayakumar Barakah Almarri Ahmed M. Elshenhab Nagarathnamma Honnappa |
| author_facet | Gangadharaiah Yeliyur Honnappa Manjunatha Narayanappa Ramalingam Udhayakumar Barakah Almarri Ahmed M. Elshenhab Nagarathnamma Honnappa |
| author_sort | Gangadharaiah Yeliyur Honnappa |
| collection | DOAJ |
| description | The influence of the throughflow and gravity fluctuation on thermosolutal convection in an anisotropic porous bed with the Darcy–Brinkman effect is considered numerically. The critical Rayleigh numbers for the onset of stationary and oscillatory modes have been found via linear instability analysis. The impact of various gravitational functions in the presence of throughflow on stability is studied. The analysis has been carried out for decreasing and increasing gravity fluctuations. The convective problem has been numerically analyzed using a single-term Galerkin approach. The results show that the mechanical anisotropy parameter and Lewis number have a destabilizing effect, while the thermal anisotropy parameter, Darcy number, solutal Rayleigh number, throughflow parameter, and gravity parameter have a stabilizing effect on stationary and oscillatory convection. It is clear that the system changes in a way that makes it more stable for case (iii) gravity fluctuation and more unstable for case (iv) gravity fluctuation. |
| first_indexed | 2024-03-11T06:13:52Z |
| format | Article |
| id | doaj.art-f18e14cd062b41ea9921905fdb1b4430 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T06:13:52Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f18e14cd062b41ea9921905fdb1b44302023-11-17T12:26:28ZengMDPI AGMathematics2227-73902023-03-01116128710.3390/math11061287Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and ThroughflowGangadharaiah Yeliyur Honnappa0Manjunatha Narayanappa1Ramalingam Udhayakumar2Barakah Almarri3Ahmed M. Elshenhab4Nagarathnamma Honnappa5Department of Mathematics, RV Institute of Technology & Management, Bengaluru 560076, 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 Sciences, Princess Nourahbint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaSchool of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru 560056, IndiaThe influence of the throughflow and gravity fluctuation on thermosolutal convection in an anisotropic porous bed with the Darcy–Brinkman effect is considered numerically. The critical Rayleigh numbers for the onset of stationary and oscillatory modes have been found via linear instability analysis. The impact of various gravitational functions in the presence of throughflow on stability is studied. The analysis has been carried out for decreasing and increasing gravity fluctuations. The convective problem has been numerically analyzed using a single-term Galerkin approach. The results show that the mechanical anisotropy parameter and Lewis number have a destabilizing effect, while the thermal anisotropy parameter, Darcy number, solutal Rayleigh number, throughflow parameter, and gravity parameter have a stabilizing effect on stationary and oscillatory convection. It is clear that the system changes in a way that makes it more stable for case (iii) gravity fluctuation and more unstable for case (iv) gravity fluctuation.https://www.mdpi.com/2227-7390/11/6/1287double-diffusive convectionBrinkman modelanisotropythroughflowchangeable gravity |
| spellingShingle | Gangadharaiah Yeliyur Honnappa Manjunatha Narayanappa Ramalingam Udhayakumar Barakah Almarri Ahmed M. Elshenhab Nagarathnamma Honnappa Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow Mathematics double-diffusive convection Brinkman model anisotropy throughflow changeable gravity |
| title | Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow |
| title_full | Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow |
| title_fullStr | Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow |
| title_full_unstemmed | Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow |
| title_short | Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow |
| title_sort | darcy brinkman double diffusive convection in an anisotropic porous layer with gravity fluctuation and throughflow |
| topic | double-diffusive convection Brinkman model anisotropy throughflow changeable gravity |
| url | https://www.mdpi.com/2227-7390/11/6/1287 |
| work_keys_str_mv | AT gangadharaiahyeliyurhonnappa darcybrinkmandoublediffusiveconvectioninananisotropicporouslayerwithgravityfluctuationandthroughflow AT manjunathanarayanappa darcybrinkmandoublediffusiveconvectioninananisotropicporouslayerwithgravityfluctuationandthroughflow AT ramalingamudhayakumar darcybrinkmandoublediffusiveconvectioninananisotropicporouslayerwithgravityfluctuationandthroughflow AT barakahalmarri darcybrinkmandoublediffusiveconvectioninananisotropicporouslayerwithgravityfluctuationandthroughflow AT ahmedmelshenhab darcybrinkmandoublediffusiveconvectioninananisotropicporouslayerwithgravityfluctuationandthroughflow AT nagarathnammahonnappa darcybrinkmandoublediffusiveconvectioninananisotropicporouslayerwithgravityfluctuationandthroughflow |