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Balance equations are derived from Enskog's kinetic equation for atwo-dimensional system of hard disks using Grad's moment expansion method. Thisset of equations constitute an extended hydrodynamics for moderately densebi-dimensional fluids. The set of independent hydrodynamic fields in thepresent formulations are: density, velocity, temperature {\em andalso}--following Grad's original idea--the symmetric and traceless pressuretensor $p_{ij}$ and the heat flux vector $\mathbf q^{k}$. An approximationscheme similar in spirit to one made by Grad in his original work is made. Oncethe hydrodynamics is derived it is used to discuss the nature of a simpleone-dimensional heat conduction problem. It is shown that, not too far fromequilibrium, the nonequilibrium pressure in this case only depends on thedensity, temperature and heat flux vector.Comment: :9 pages, 1 figure, This will appear in J. Stat. Phys. with minor  corrections and corresponds to Ref[9] of cond-mat/050710

Extended Hydrodynamics from Enskog’s Equation for a Two-Dimensional System General Formalism