Convection in a horizontal fluid layer under an inclined temperature gradient for Prandtl numbers Pr > 1

摘要: Abstract In this paper calculations are done of the flow instability a shallow horizontal fluid layer under an inclined temperature gradient for Prandtl numbers magnitudes Pr  > 1. previous (Ortiz-Perez and Davalos-Orozco, 2011 [17]), range values investigated were  ⩽ 1. There, Rayleigh number far larger than those used in literature it was found new oblique oscillatory mode Obo . present is that still appears  = 2. Further, also shown some modes become irrelevant when increased, different first to go unstable. An important result above large enough number, curves criticality remain almost same. Therefore, limit  → ∞ employed calculate useful analytical expressions longitudinal which cover all numbers. contrast authors results,  > 1 transversal has range, as unstable one increases then decreases with Pr, but never disappears.