Abstract
A laminar approach of the melt-spinning process is presented, using nondimensionalized momentum and thermal boundary-layer equations. The momentum boundary layer along a yarn of circular cross section in axial flow is investigated for two types of boundary conditions; the quasi-similar solution is computed for both a semi-infinite body and a continuous moving surface, using a finite difference scheme. The comparison exhibits a difference between the growth of the boundary layer in the two cases. The quasi-similar solution is extended to the thermal boundary layer along a moving yarn. The computation is carried out in the air as well as inside the yarn, yielding the temperatures, the Nusselt number, and boundary-layer thickness as functions of a dimensionless parameter.
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