A method of producing a vaporization device for a motor vehicle exhaust system for vaporizing an oxidizable liquid and introducing a vapor produced from the oxidizable liquid into an exhaust gas flow of the motor vehicle exhaust system, the vaporization device including a heating element arranged in a housing and having the form of a glowing filament, the housing having an inlet for the liquid, at least one vaporization chamber, and an outlet for the vapor, the method including the following steps:
- a) producing the housing and a glow tube as a one-piece unit by forming an elongated tube to have an open end and a closed end, the outlet being formed within a side wall of the elongated tube at a location between the open and closed ends, and wherein the one-piece unit is configured to have the outlet project into the exhaust gas flow with the glow tube being arranged external to the exhaust gas flow;
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- b) subsequently inserting the glowing filament through the open end and into the glow tube.