Micro Circular Tube Flow Mathematical Model with the Effect of Van der Waals Force

Abstract:

Darcy's law is found be not applicable to fluid flow in small pore throat, and the mechanism for the nonlinear flow is still unclear to date. The paper analyzed the influence of various types of micro forces in porous media on fluid flow, based on the existing experimental results and theoretical knowledge of micro-scale flow. Mathematical model for flow in small tube was established with the consideration of Van der Waals force between solid and liquid. By simulating velocity distribution and the average flow under the Poiseuille flow, we get that with the decrease of the micro tube size, the Van der Waals force between solid and liquid increases and the effect on flow pattern of fluid in the tube increases, so that the Van der Waals force between solid and liquid in the tiny pore flow should not be ignored.

• Periodical: Applied Mechanics and Materials (Volumes 448-453)
• Pages: 3975-3981
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.448-453.3975
• Online since: October 2013
• Authors: Xiao Feng Wang, Wei Yao Zhu, Qing Jun Deng, Xue Ling Zhang, Yu Lou, Ying Gao
• Keywords: Micro Forces, Porous Medium, Van der Waals Force, Velocity Distribution

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