AbstractA set of 21 moment fluid equations has been applied to two aspects relevant to scrape off layer plasma transport codes. The first of these is the provision of classical parallel transport coefficients, particularly for impurity plasma ions. Although more general results have been obtained, those only for a low impurity density common ion temperature plasma are presented. The results reflect the coupling between heat and particle fluxes and a coupling of the main ion fluxes into the impurity fluxes. The second application is in response to the problem of nonphysical values for classical viscosities and heat fluxes in regions with large gradients. The basic five moment description of the Braginskii equations has been extended to a full thirteen moment approximation. The new equations are given and some preliminary numerical results from a one dimensional code are discussed.