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- Title
Linear stability analysis of mixed convection flow in a horizontal channel filled with nanofluids.
- Authors
Bammou, Lahcen; Souhar, Khalid; Alami, Samy; Feddaoui, M'Barek; Le Guer, Yves
- Abstract
The convective instability driven by buoyancy in the Poiseuille–Rayleigh–Bénard flow through two infinite parallel horizontal plates filled with nanofluids is investigated using linear stability analysis. We considered water‐based nanofluids with different volume fractions of aluminum (Al2O3) and silver (Ag) nanoparticles. A spectral collocation method founded on Chebyshev polynomials is implemented and the obtained algebraic eigenvalue problem is solved. In this study, we have numerically determined the critical Rayleigh number of the onset of longitudinal and transversal rolls and the results are represented in the form of marginal stability curves. Critical wave numbers that describe the size of convective cells in the flow are also presented, analyzed, and compared with those of the Poiseuille–Rayleigh–Bénard flow without nanoparticles. The effects of the type and nanoparticle volume fractions on the onset of both longitudinal and transversal rolls are investigated.
- Subjects
ADVECTION; LINEAR statistical models; CHANNEL flow; CONVECTIVE flow; THERMAL instability; RAYLEIGH number; WAVENUMBER
- Publication
Heat Transfer, 2020, Vol 49, Issue 4, p2297
- ISSN
2688-4534
- Publication type
Article
- DOI
10.1002/htj.21721