The first problem of stokes is a kind of common problem in the industrial production field. Traditional similar solution to the first problem of stokes is abstract and beyond understanding. Matlab PDE toolbox can vividly describe the first problem of stokes , output the concrete numerical value of research and vividly show the motion state of some plane. Matlab PDE toolbox provide an intuitive, quick, accurate and vivid numerical solution for the research of viscous flow of outside pipe's fluid medium.

As the declining of oil, coal and other fossil fuel, and the rising of environmental pollution and greenhouse's effect, natural gas, as a kind of high efficient and clean energy, has been given a great attention and favour by the countries all over the world. Natural gas liquefaction and storage technology is key to its use and development. The latest theory research shows that the construction of long distance LNG pipeline is feasible in technology and reasonable in the economy. However the researches of the liquefaction station of long distance LNG pipeline are few. The liquefaction process of the liquefaction station along the long distance LNG pipelines was discussed. Through the analysis on the reverse Carnot cycle, combined with cooling characteristics of refrigerant such as propane, ethylene, methane, liquefaction process of liquefaction station along long-distance LNG pipeline was proposed and related equipments were selected.