Work

Soret Effect on the Instability of Double-Diffusive Convection in a Saturated Vertical Brinkman Porous Layer of Oldroyd-B Fluid

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math13010100

Authors: Yuanzhen Ren, Yongjun Jian

Institutions: Inner Mongolia University, Donghua University

Language: English

Topic: Heat and Mass Transfer in Porous Media

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities