Two-dimensional Navier-Stokes equations are numerically solved for a shock wave moving in a tube. The internal structure of the shock wave is taken into account as is the viscous layer along the tube wall. Slip conditions are applied along the wall surface. The gas is a monatomic, perfect gas, and the shock Mach numbers are 2.0 and 20.0. The results for the low Mach number case (Ms=2.0) are compared with numerical results using a kinetic model. The N-S solutions, which include slip effects on the wall, show qualitative agreement with the kinetic model solutions for Maxwellian molecules with respect to temperature contours, isopycnics and slip effects along the wall surface.