We present a 16‐moment, three‐fluid description of the solar wind consisting of electrons, protons, and alpha particles. We assume gyrotropic flow (transport across the magnetic field is neglected) which reduces the 16‐moment set of transport equations to a six‐moment set yielding the density, velocity, temperatures parallel and perpendicular to the magnetic field, and parallel heat conductive fluxes from the parallel and perpendicular directions for each particles species. The model incorporates the effects of Coulomb collisions. It allows for non‐radial divergence of the magnetic field and heating and momentum addition to the particles. We investigate the influence of the heat conductive flux in shaping the temperature anisotropy.