Abstract: A continuous flow, RD reactor system, that comprises, in combination a reaction column, first means feeding vegetable oil, liquid methanol and catalyst to the upper interior of the column, a condenser reclining methanol vapor for the upper interior of the column, and for producing condensed methanol recycled to the column upper interior, and for delivering a stream of refluxed methanol liquid to the upper interior of the column, and several means for receiving product biodiesel and liquid methanol for the lower interior of the column, and for separating Biodiesel in a primary product stream and returning methanol vapor to the column.