The Rayleigh–Bénard problem for water with maximum density effects

• Published in: Physics of fluids (1994) Vol. 35; no. 7
• Main Authors: Basavarajappa, Mahanthesh, Bhatta, Dambaru
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 01.07.2023
• Subjects: Boundary conditions; Continuity equation; Density; Equations of state; Fluid dynamics; Free boundaries; Landau-Ginzburg equations; Physics; Polynomials; Rayleigh-Benard convection; Stability analysis; Thermal instability

Linear stability and weakly nonlinear stability analyses are developed for Rayleigh–Bénard convection in water near 3.98 °C subject to isothermal boundary conditions. The density–temperature relationship (equation of state) is approximated by a cubic polynomial, including linear, quadratic, and cubi...