A finite element analysis of the upper jet region of a fiber drawing flow field
Abstract
A heat transfer model is developed to analyze the upper jet region of a fiber drawing flow field. This region is characterized by fully two diminsional fields and a large change in the radius of the jet. Because of these and other analytic complexities such as viscous dissipation, temperaturedependent viscosity, the determination of the free surface shape of the jet, gravity, inertia, and surface tension forces; the upper jet region is analyzed by the finite element method. A boundary layer theory is presented which accounts for the stretching jet surface. The KarmanPohlhausen momentumintegral technique is used with an assumed velocity profile motivated by the shearing flow between two concentric cylinders in relative axial motion. A stretching jet surface imposes on the boundary layer a development which is distinct from that which is normally encountered on a constant radius cylinder. Reynolds' analogy is assumed for the calculation of convective heat transfer from the jet to an air boundary layer.
 Publication:

Ph.D. Thesis
 Pub Date:
 1982
 Bibcode:
 1982PhDT........46S
 Keywords:

 Convective Heat Transfer;
 Finite Element Method;
 Flow Distribution;
 Jet Flow;
 Glass Fibers;
 Gravitational Effects;
 Inertia;
 Interfacial Tension;
 Temperature Dependence;
 Viscosity;
 Fluid Mechanics and Heat Transfer