Non-isothermal flows of Newtonian slender glass fibers
type: Item
instance of: scholarly article
title: Non-isothermal flows of Newtonian slender glass fibers
zbMATH Open document ID: 0885.76004
DOI: 10.1016/S0020-7462(96)00143-6
author: Bernhard Rupp
published in: International Journal of Non-Linear Mechanics
publication date: 1998-04-29T00:00:00Z
review text: We perform a non-isothermal analysis of axisymmetric Newtonian slender fibers. Lubrication scaling with a small slenderness ratio \(\varepsilon\) along with restrictions on other dimensionless parameters systematically provides one-dimensional approximations by using the full Navier-Stokes equations. At leading order, we formally obtain the equations of previous analyses when the parameter range is appropriate. Higher-order analyses show the effects of weak two-dimensionality when all appropriate parameters are not sufficiently small. We have also established limitations on the one-dimensional approach of previous analyses. We consider a variable heat transfer coefficient and show its importance in accurate predictions of fiber diameter.
Mathematics Subject Classification ID: 76A99
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1063930
zbMATH Keywords: lubrication scaling
zbMATH Keywords: elongational flow
zbMATH Keywords: one-dimensional approximations
zbMATH Keywords: effects of weak two-dimensionality
zbMATH Keywords: variable heat transfer coefficient
zbMATH Keywords: predictions of fiber diameter
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1063930