Turbulence model has been improved so far for analysis of a turbulent flow with rotation. In particular, a modified nonlinear two-equation model was proposed, with which rotating channel flows with spanwise rotations were predicted very accurately. Recently, rotating channel flows with arbitrary rotating axes have been investigated by direct numerical simulation (DNS). Although a knowledge of spanwise rotating channel flow has been accumulated, there are few reports on streamwise and wall-normal rotating channel flows. In the present study, based on our DNS databases of streamwise and wall-normal rotating channel flows, the existing nonlinear two-equation heat-transfer turbulence models were evaluated. And using the results of evaluation, we improved the modeled expression of turbulent heat-flux for heat transfer in flows with arbitrary rotating axes.