A manufacturing machine manufactures a heat-source rod having a rod-like extrusion-molded article made from a combustible material with axial grooves in the cylindrical surface thereof and a heat-insulating web enveloping the article, and is provided with a apparatus 10 for spouting water to the web W in the process of the web W being fed to a wrapping section 4. The spout apparatus 10 includes an air vibrator 12 with a vibrating rod 34, and a flexible nozzle 36 attached to the rod 34 to extend across the rod 34 and supplied with water from a rate regulating pump 42. While the web W is being fed, the end of the nozzle 36 spouts water to the web W, reciprocating widthways relative to the web W due to vibration of the rod 34, and the water spouted dissolves a binder used in the web W to bind heat-insulating fiber, thereby forming a wet band H, where the wet band H has a waveform continuing along the longitudinal direction of the web W and provides a adhesive region for bonding the article.