Finite amplitude convection between stress-free boundaries; Ginzburg–Landau equations and modulation theory

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

Finite Amplitude Thermal Convection with Variable Gravity

Finite amplitude thermal convection is studied in a horizontal layer of infinite Prandtl number fluid with a variable gravity. For the present study, gravity is restricted to vary quadratically with respect to the vertical variable. A perturbation technique based on a small parameter, which is a measure of the ratio of the vertical to horizontal dimensions of the convective cells, is employed t...

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...

Amplitude equations for a system with thermohaline convection

The multiple scale expansion method is used to derive amplitude equations for a system with thermohaline convection in the neighborhood of Hopf and Taylor bifurcation points and at the double zero point of the dispersion relation. A complex Ginzburg-Landau equation, a Newell-Whitehead-type equation, and an equation of the φ type, respectively, were obtained. Analytic expressions for the coeffic...

Finite Amplitude Convection in a Rotating Porous Medium

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...