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Analytic Solution for Steady Slip Flow between Parallel Plates with Micro-Scale Spacing |
| ZHANG Tian-Tian;JIA Li;WANG Zhi-Cheng |
| Department of Power Engineering, School of Mechanical and Electronic Control Engineering, Beijing Jiaotong University, Beijing 100044 |
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| Cite this article: |
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ZHANG Tian-Tian, JIA Li, WANG Zhi-Cheng 2008 Chin. Phys. Lett. 25 180-183 |
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Abstract 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.
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| Keywords:
44.27.+g
47.15.Fe
47.27.Te
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Received: 06 September 2007
Published: 27 December 2007
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