We have analysed the transport efficiency of an atomic waveguide constructed from a periodic axially magnetized hollow tube. We took into consideration the quantized motion of the atom inside the magnetic hollow cylinder tube,which is significant for the transportation of cold atoms. We deduced the quantized motion modes of the atomic waves in the tube by the approximation of infinite potential, which is valid for cold atoms and strong magnetization. For the atomic waveguide with weak magnetization, we have calculated the tunnelling effect of the atomic wave. The adiabatic condition for the motion of cold atoms is discussed. A time orbit potential method for solving the "zero magnetic field problem" is proposed.