The linear hydrodynamic stability of a fluid in a cavity with finite thermal conductivity

• Published in: International journal of heat and mass transfer Vol. 145; p. 118768
• Main Authors: Ortiz-Pérez, Alejandro Sebastián, Pérez-Reyes, Ildebrando
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.12.2019; Elsevier BV
• Subjects: Aspect ratio; Fluid dynamics; Fluid flow; Hydrodynamics; Rayleigh number; Rectangular cavity; Stability; Thermal conductivity; Thermal convection; Wall thermal properties; Walls; Rectangular cavity; Thermal convection; Wall thermal properties
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2019.118768

•Parity of the number of rolls in a fluid, heated from below, confined in a cavity.•Thermal mechanism for the adjustment in the number of convective cells.•Combined aspect ratio and finite thermal conductivity effect on fluid hydrodynamics. New results on the linear hydrodynamic stability of a fluid, heated from below, confined in a rectangular cavity are presented. Finite thermal conductivities of the bounding horizontal walls are introduced so that more realistic values of the Rayleigh number were found. Parity of the rolls in the cavity are used to investigate the hydrodynamics of the fluid subject to different thermal boundaries. Plots at different aspect ratios in which the Rayleigh number is mapped from ideal insulating to perfect thermal conducting horizontal and vertical walls are shown and discussed. The discussion on the physical mechanism driving kinks in the curves of criticality is extended to include the effects of finite thermal conducting horizontal walls.