Version 1
: Received: 30 October 2024 / Approved: 31 October 2024 / Online: 31 October 2024 (13:29:57 CET)
How to cite:
Ren, Y.; Jian, Y. Soret Effect on the Instability of Double-Diffusive Convection in a Saturated Vertical Brinkman Porous Layer of Oldroyd-B Fluid. Preprints2024, 2024102558. https://doi.org/10.20944/preprints202410.2558.v1
Ren, Y.; Jian, Y. Soret Effect on the Instability of Double-Diffusive Convection in a Saturated Vertical Brinkman Porous Layer of Oldroyd-B Fluid. Preprints 2024, 2024102558. https://doi.org/10.20944/preprints202410.2558.v1
Ren, Y.; Jian, Y. Soret Effect on the Instability of Double-Diffusive Convection in a Saturated Vertical Brinkman Porous Layer of Oldroyd-B Fluid. Preprints2024, 2024102558. https://doi.org/10.20944/preprints202410.2558.v1
APA Style
Ren, Y., & Jian, Y. (2024). Soret Effect on the Instability of Double-Diffusive Convection in a Saturated Vertical Brinkman Porous Layer of Oldroyd-B Fluid. Preprints. https://doi.org/10.20944/preprints202410.2558.v1
Chicago/Turabian Style
Ren, Y. and Yongjun Jian. 2024 "Soret Effect on the Instability of Double-Diffusive Convection in a Saturated Vertical Brinkman Porous Layer of Oldroyd-B Fluid" Preprints. https://doi.org/10.20944/preprints202410.2558.v1
Abstract
The instability of double-diffusive convection of an Oldroyd-B fluid in a vertical porous layer caused by temperature and solute concentration differences with the Soret effect is studied using a modified Darcy–Brinkman–Oldroyd model. Under the Oberbeck-Boussinesq approximation, the validity of Squire's theorem is demonstrated, allowing for considering only the two-dimensional linear instability. Based upon perturbation theory, an Orr-Sommerfeld eigenvalue problem is derived and numerically simulated using the Chebyshev collocation method. We examine the effects of the relevant dimensionless parameters on the neutral stability curves. It is discovered that PrD and λ1 have dual effects on the instability, respectively. When PrDc1 < PrD < PrDc2, PrD boosts flow stability. The impact of λ1 on fluid stability is influenced by PrD. Furthermore, Le and η have dual effects on the instability. When η< 0.8, it promotes flow instability. Le enhances the flow in-stability when Le < 0.7 and inhibits the instability when Le > 0.7. In addition, the magnitude of Le influences the role of Sr. There exists a critical value for Le. When Le < Lec2, Sr strengthens the in-stability of the flow, and when Le> Lec2, Sr plays an inhibiting role. Finally, the relaxation pa-rameter λ2 promotes flow stability.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
