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A model for unsteady analysis of preform drawing
Author(s) -
Myers Matthew R.
Publication year - 1989
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690350409
Subject(s) - eigenvalues and eigenvectors , boundary value problem , sensitivity (control systems) , radiative transfer , heat transfer , extensional definition , mechanics , amplitude , set (abstract data type) , mathematics , mathematical analysis , physics , optics , geology , computer science , engineering , paleontology , quantum mechanics , electronic engineering , tectonics , programming language
A model is introduced for analyzing diameter variations occurring in glass fibers drawn from preforms. The heat transfer is shown to be radiation‐dominated, and approximate expressions for radiative exchange are developed. The expressions are used in the one‐dimensional governing equations for extensional flows to derive a set of linearized disturbance equation as an eigenvalue problem. The sensitivity to an oscillatory take‐up rate is also studied as a boundary‐value problem. Calculated amplitudes of final diameter perturbations are found to agree well with experimental values.