Multiple similarity solutions of buoyancy induced flows for ice melting in cold pure water
type: Item
instance of: scholarly article
title: Multiple similarity solutions of buoyancy induced flows for ice melting in cold pure water
zbMATH Open document ID: 0648.76059
DOI: 10.1016/0898-1221(88)90136-8
author: S. H. Smith
publication date: 1988-01-01T00:00:00Z
review text: A model of laminar buoyancy induced plane flows driven by the thermal transport near a vertical ice wal melting in cold pure water is studied. Computed results show that the convective inversions are found with a temperature ratio parameter R varying in \([0,1/2]\). Numerical solutions are obtained in two disjoint intervals of R which are separated by a gap on which no solution exists. Multiple solutions are found at some R in these regions. With R near the lower edge of the gap, the solutions are similar. However, pairs of solutions with R varying above the upper limit of the gap are found drastically different. They indicate physically the potential existence of a large amount of energy for any trend arising that drives one flow state to another.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4059046
zbMATH Keywords: laminar buoyancy induced plane flows
zbMATH Keywords: thermal transport
zbMATH Keywords: vertical ice wal
zbMATH Keywords: cold pure water
zbMATH Keywords: Numerical solutions
zbMATH Keywords: Multiple solutions
describes a project that uses: COLSYS
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90136-8
OpenAlex ID: W2050747423
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4059046