The paper studies the transportation of passive scalar in the inhomogeneous
turbulence by means of large eddy simulation. The prediction accuracy is v
erified by the well-known Comte-Bellot spectrum of the homogeneous turbulen
ce. The mean transportation properties are predicted with satisfaction and
the underestimation of the thermal flux by the phenomenological models has
been disclosed. The high intermittence of the temperature fluctuations has
been found in the inhomogeneous turbulence and it is the reason for the und
erestimation of turbulent thermal flux by the phenomenological model.