Density maximum and finite Darcy–Prandtl number outlooks on Gill's stability problem subject to a lack of thermal equilibrium

• Published in: Physics of fluids (1994) Vol. 33; no. 12
• Main Authors: Shankar, B. M., Shivakumara, I. S., Naveen, S. B.
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 01.12.2021
• Subjects: Darcys law; Density; Equilibrium; Flow stability; Fluid dynamics; Free convection; Heat transfer coefficients; Neutral stability curves; Perturbation; Physics; Prandtl number; Stability analysis

The Gill stability problem encompasses the investigation of stability of natural convection flow in a vertical porous layer governed by Darcy's law under a local thermal equilibrium (LTE) perspective and was proved analytically by Gill [Gill, J. Fluid Mech. 35, 545–547 (1969)] that the flow is...