  The hydrodynamic equations for a model of a confined quasi-two-dimensional
gas of smooth inelastic hard spheres are derived from the Boltzmann equation
for the model, using a generalization of the Chapman-Enskog method. The heat
and momentum fluxes are calculated to Navier-Stokes order, and the associated
transport coefficients are explicitly determined as functions of the
coefficient of normal restitution and the velocity parameter involved in the
definition of the model. Also an Euler transport term contributing to the
energy transport equation is considered. This term arises from the gradient
expansion of the rate of change of the temperature due to the inelasticity of
collisions, and vanishes for elastic systems. The hydrodynamic equations are
particularized for the relevant case of a system in the homogeneous steady
state. The relationship with previous works is analyzed.
