Analytic solution for steady slip flow between parallel plates with micro-scale spacing

作者：Zhang Tian Tian^*; Jia Li; Wang Zhi Cheng

来源：Chinese Physics Letters, 2008, 25(1): 180-183.

The Navier-Stokes equations for slip flow between two very closely spaced parallel plates are transformed to an ordinary differential equation based on the pressure gradient along the flow direction using a new similarity transformation. A powerful easy-to-use homotopy analysis method was used to obtain an analytical solution. The convergence theorem for the homotopy analysis method is presented. The solutions show that the second-order homotopy analysis method solution is accurate enough for the current problem.

• 出版日期2008-1
• 单位北京交通大学