An analytical correlation of heat flux, nozzle diameter, and melting time, as applied to nozzle burners

Summary

A semi-infinite, heat-conducting slab is heated by means of a nozzle-type burner. The heat in-flux is assumed to be localized in the area where the flame “washes” the surface; its value is zero at time t=0, and is a given constant for 0<t. The method of fictitious sources is applied to the transient three-dimensional problem thus defined, and a correlation is derived expressing the time required to reach the melting temperature at a point on the surface as a function of the heat flux and the nozzle diameter. The results are given in the form of non-dimensional plots; the reduced heat flux is plotted against the Fourier number.