In the glass and polymer industries, fibers are manufactured by extruding hot material through a circular orifice to form a continous filament. This paper is concerned with predicting the temperature of the fiber as a function of distance from the orifice.
A simple model is exam ned wherein the fibre is regared as a continuous infinite circular cylinder issuing into a fluid of infinite extent. The boundary layer equations, in conjunction with an equation govering the rate of supply of heat to the fluid from the fibre, are solved by using the von karman-pohlhausen integral method.
It is shown that the solution, which includes the effect of evaporation, can be put into the form of a universal plot of dimensionless axial temperature change versus dimensionless axial distance.
As the heat capacity ratio, η approach to zero, i.e. the surface temperature of cylinder is kept constant, the local Nusselt number can be expressed as (The equation is abbreviated)
