Steady Rayleigh–Bénard convection between stress-free boundaries

Finite Amplitude Convection Between Stress-Free Boundaries; Ginzburg-Landau Equations and Modulation Theory

Thermal Convection between Sloping Parallel Boundaries

The effect of sloping boundaries on thermal convection is studied theoretically and experimentally in the context of a model in which fluid is contained in a differentially heated rectangular box of small aspect ratio (depth/length), inclined at an angle 8 to the vertical. Like its two limiting cases, Benard convection and convection in the vertical slot, there is a steady laminar twodimensiona...

A pseudosimilarity approach to a steady free convection flow

In this communication we deal with the exact solutions called ”pseudosimilarity” of a steady free convection problem studied by by Kumaran and Pop (2006). They showed that there is no similarity solution for the case of a wall temperature as Tw(x) ∼ x 1 2 (resp. a wall heat flux as qw(x) ∼ x 3 2 , and a dimensionless heat transfer coefficient hw(x) ∼ x). We shall present some results about exis...

Steady free convection in a bounded and saturated porous medium

In this paper we are interested with a strongly coupled system of partial differential equations that modelizes free convection in a two-dimensional bounded domain filled with a fluid saturated porous medium. This model is inspired by the one of free convection near a semi-infinite impermeable vertical flat plate embedded in a fluid saturated porous medium. We establish the existence and unique...

Long-Wavelength Rotating Convection Between Poorly Conducting Boundaries

The onset of thermal convection in a horizontal layer of fluid rotating about a vertical axis is examined by means of a nonlocal model partial differential equation (PDE). This PDE is obtained asymptotically from the Navier–Stokes and heat equations in the limit of small conductivity of the horizontal boundaries. The model describes the onset of convection near a steady bifurcation from the con...