Nonlinear convection with variable coefficient of thermal expansion
type: Item
instance of: scholarly article
title: Nonlinear convection with variable coefficient of thermal expansion
zbMATH Open document ID: 0588.76071
DOI: 10.1007/BF01176349
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: The problem of nonlinear convection in a horizontal layer of fluid with variable coefficient of thermal expansion is considered. It is found that square cells transport always more heat than two-dimensional rolls and that rolls are always unstable. Variable coefficient of thermal expansion can strongly affect the critical Rayleigh number and the horizontal scale of the motion. Subcritical instabilities can exist which are associated with either hexagon pattern convection or square pattern convection. Particular forms of the coefficient thermal expansion are essential to determine the preferred flow patterns which could be of the forms of squares or hexagons with either upward of downward motion at the cells' centers.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76R10
zbMATH DE Number: 3945676
zbMATH Keywords: unstable rolls
zbMATH Keywords: nonlinear convection
zbMATH Keywords: horizontal layer
zbMATH Keywords: variable coefficient of thermal expansion
zbMATH Keywords: square cells transport
zbMATH Keywords: two-dimensional rolls
zbMATH Keywords: horizontal scale of the motion
zbMATH Keywords: Subcritical instabilities
zbMATH Keywords: hexagon pattern convection
zbMATH Keywords: square pattern convection
author: Natascha Riahi
MaRDI profile type: Publication
cites work: Nonlinear convection in a layer with nearly insulating boundaries
cites work: The stability of finite amplitude cellular convection and its relation to an extremum principle
cites work: Square-pattern convection in fluids with strongly temperature-dependent viscosity
cites work: On the stability of steady finite amplitude convection
full work available at URL: https://doi.org/10.1007/bf01176349
OpenAlex ID: W2090977848
description: scientific article; zbMATH DE number 3945676