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A calculation procedure for turbulent natural convection in enclosures is described. A two‐equation model based on the eddy diffusivity concept for the temperature field possessing a form similar to the k—ε model of flow is incorporated, thus, extending the applicability of the eddy diffusivity models by removing constraints of the Reynolds analogy between momentum and thermal transport processes. As a test problem, natural convection in a square cavity subjected to differential side‐wall heating is analysed. The vertical walls are divided into isothermal and constant heat‐flux surfaces and heated non‐uniformly. AtRa = 10¹⁰ and for an air—filled cavity (Pr = 0.71), variations of heating patterns are found to significantly alter the field characteristics. Numerical predictions demonstrate dissimilar features of the velocity and temperature fluctuations.