General theory of a convective nucleus of a fluid in unsteady state and in nonlinear conditions
type: Item
instance of: scholarly article
title: General theory of a convective nucleus of a fluid in unsteady state and in nonlinear conditions
zbMATH Open document ID: 0666.76113
DOI: 10.1016/0017-9310(88)90059-2
author: M. de Paz
author: Giorgio Sonnino
published in: International Journal of Heat and Mass Transfer
publication date: 1988-01-01T00:00:00Z
review text: A model of free convection in a fluid cylinder submitted to generic boundary conditions is developed. The fluid is subdivided into a boundary layer region and a nucleus moving with opposite velocities and the equations of Fourier, continuity and Navier-Stokes in the nucleus are solved exactly in terms of Fourier sums. The nucleus is linked to the boundary layer to provide the unknown function which solves completely this problem of convection. As an example the general solution is applied to the case of a temperature step which is found to travel undeformed through the nucleus (asymptotic solution).
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D10
zbMATH DE Number: 4091086
zbMATH Keywords: free convection
zbMATH Keywords: fluid cylinder
zbMATH Keywords: generic boundary conditions
zbMATH Keywords: boundary layer region
zbMATH Keywords: nucleus
zbMATH Keywords: opposite velocities
zbMATH Keywords: equations of Fourier, continuity and Navier-Stokes
MaRDI profile type: Publication
full work available at URL: 0017-9310(88)90059-2
OpenAlex ID: W2024789305
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description: scientific article; zbMATH DE number 4091086