The transport of a reactive substance in a turbulent flow is important in many engineering settings. In turbulent reactive flows of premixed reactants, such a substance can exhibit complex dynamic behaviour associated with counter-gradient or non-gradient diffusion as well as flame-generated turbulence. Herein, simple algebraic models for the turbulent scalar flux and the turbulent kinetic energy have been derived, which avoid any resort to the classical – but complicated – set of second order transport equations. The various contributions appearing in these models and depending on the flamelets orientation have been analysed and expressed in closed forms. Comparisons are performed with DNS data of planar turbulent premixed flames for three distinct values of the normalised heat release. The obtained results clearly validate the relevance of the proposed algebraic closure.