A flue system, for adapting a masonry chimney to a wood burning stove, comprises a flexible flue pipe extending from the wood burning stove upwardly through the convolutions of the chimney, and, at the top of the chimney, a control assemblage including a lower anchor plate, an upper rain cover, and extending therebetween a control pipe of particular size and construction. The control pipe has an inner shell composed of stainless steel, an outer shell also composed of a metal, and an interposed insulator. The control pipe is of the correct length and diameter to be heated by the flue gas to a temperature at which creosote condensation at the top of the chimney is minimized or prevented.