Nonlinear double-diffusive convection with local heat and solute sources
type: Item
instance of: scholarly article
title: Nonlinear double-diffusive convection with local heat and solute sources
zbMATH Open document ID: 0582.76094
DOI: 10.1016/0020-7225(86)90043-1
author: Albert T. Hsui
author: Natascha Riahi
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: Effects of local heat and solute sources on nonlinear double diffusive convection has been investigated. These sources introduce three new parameters. Dependence of the horizontal cells' size, critical solute Rayleigh number, and heat and solute fluxes on these new parameters is determined. It is found that local sources can significantly reduce the horizontal cells' size. For the case where the strength of the local solute source is insignificant, the preferred horizontal flow cross- section pattern is found to be squares. If the strength of the local solute source is significant, then hexagons become the preferred pattern when flow amplitude \(\epsilon\) exceeds a critical value. Both squares and hexagons can be stable for an even higher value of \(\epsilon\). The convective motion is upward at the center of the hexagonal cells if a solute sink acts on the flow. When a solute source acts on the flow, downward motion at the cells' center will occur. Furthermore, the local solute source is also found to be able to provide finite amplitude instability.
Mathematics Subject Classification ID: 76R05
zbMATH DE Number: 3932683
zbMATH Keywords: local heat source
zbMATH Keywords: finite amplitude steady solution
zbMATH Keywords: Boussinesq approximation
zbMATH Keywords: nonlinear double diffusive convection
zbMATH Keywords: horizontal cells' size
zbMATH Keywords: local sources
zbMATH Keywords: local solute source
zbMATH Keywords: horizontal flow cross-section pattern
zbMATH Keywords: finite amplitude instability
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90043-1
OpenAlex ID: W1975750119
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description: scientific article; zbMATH DE number 3932683