  From the definition of a generalized conformable spatial derivative, an
exponential conformable function with three parameters $(a,b,\alpha)$ is
proposed for a viscous and an inertial-viscous steady-state Navier-Stokes 1D
models, obtaining analytical solutions for both generalized conformable models.
The conformable models' parameters are optimized to compare the viscous model
to a Darcian 1D flow and the inertial-viscous model to a non-Darcian 1D model
for a specific range of Darcy numbers $(1\times10^{-2}<Da\leq 1)$. Velocity
profiles for the porous medium and the conformable model are computed and
compared, showing that the generalized conformable Navier Stokes 1D models
describe the flow through a porous medium, for both Darcian and non-Darcian
flow, without including a Darcy term or macroscopic porous characteristics.
