A new set of equations appropriate for the study of the turbulence, due to the ion temperature gradient in the slab in the fluid description, is proposed. This model is similar to many existing models including the one used in the work of Hamaguchi and Horton (HH) [S. Hamaguchi and W. Horton, Phys. Fluids B2, 1834 (1990)]. The main difference is that in this model the ion diamagnetic drift contributes to the kinetic energy in the energy balance relation. It is achieved through more complete analysis for the polarization drift due to the finite‐Larmor‐radius effects. The linear growth rate in the model is found to be smaller and the numerical results show that the heat transport is smaller by an order of magnitude when compared to HH.