eprintid: 252
rev_number: 15
eprint_status: archive
userid: 7
dir: disk0/00/00/02/52
datestamp: 2009-10-21 15:55:04
lastmod: 2015-05-29 19:51:56
status_changed: 2009-10-21 15:55:04
type: report
metadata_visibility: show
item_issues_count: 0
creators_name: Ambrose, David
creators_name: Braun, Richard
creators_name: DeBisschop, Cynthia
creators_name: Gremaud, Pierre
creators_name: Howell, Peter
creators_name: Kramer, Peter
creators_name: Please, Colin
creators_name: Salazar Gonzalez, Jose Domingo
creators_name: Schwendeman, Donald
corp_creators: John Abbott
title: Boundary Layers and Material Deformation in Fiber Drawing
ispublished: pub
subjects: materials
studygroups: mpi17
companyname: Corning Incorporated
full_text_status: public
abstract: We study two fluid dynamical issues which are important in the manufacture of thin glass fibers for communication networks and materials. Such thin fibers are obtained by rapidly pulling molten glass through an array of successively smaller holes.

Through asymptotic analysis and physical modeling, we obtain a quantitative description of the flow and structure of the glass fiber as it is being pulled. We examine in particular the issue of whether initially planar cross sections remain planar, and find that they do so approximately, but not exactly, even in the absence of such factors as gravity, surface tension, and inertia. We also develop a quantitative theory for the structure of the air flow near the fiber, which is an important ingredient in determining how fast the fiber cools. In particular, we develop a description for the structure of the boundary layer near a fiber which has accelerating surface velocity and shrinking radius which is comparable or thin compared with the thickness of the boundary layer. One novel feature is that the acceleration of the fiber surface velocity leads to a compression of the boundary layer as it evolves downstream.
date: 2002
related_url_url: http://eaton.math.rpi.edu/Faculty/Schwendeman/Workshop/MPI.html
citation:   Ambrose, David and Braun, Richard and DeBisschop, Cynthia and Gremaud, Pierre and Howell, Peter and Kramer, Peter and Please, Colin and Salazar Gonzalez, Jose Domingo and Schwendeman, Donald  (2002) Boundary Layers and Material Deformation in Fiber Drawing.  [Study Group Report]     
document_url: http://miis.maths.ox.ac.uk/miis/252/1/corning01.pdf