Influence of Knudsen number on fluid viscosity for analysis of divergence in fluid conveying nano-tubes
- 作者：Fareed Kaviani fareedkaviani@yahoo.com ; Hamid Reza Mirdamadi ; hrmirdamadi@cc.iut.ac.ir
- 关键词：Nano-size effect ; Fluid&ndash ; structure interaction (FSI) ; Viscosity ; Knudsen number (Kn) ; Slip boundary condition ; Critical flow velocity
- 刊名：Computational Materials Science
- 出版年：2012
- 期刊代码：31_09270256
- 类别：et
- 出版时间：August, 2012
- 卷：61
- 期：Complete
- 页码：270-277
- 文件大小：967 K
摘要
In this paper, the effects of Knudsen number (Kn) and slip boundary condition have been addressed on the viscosity of a nano-flow passing through a nano-tube. The dimensionless parameter, Kn, as a small size parameter, influences the stability behavior and critical flow velocity of a nano-tube conveying gas fluid considerably, as compared to a purely continuum and size-free formulation. Consequently, a Kn-dependent viscosity affects both directly on viscosity values and indirectly on a dimensionless parameter, velocity correction factor, VCF, defined as a ratio of no-slip boundary flow velocity to slip boundary flow velocity. The effect of viscosity on critical flow velocity is so large that for a numerical study reaches one-fourth of that velocity, ignoring viscosity effect on slip boundary condition. These variations in critical flow velocity of a nano-pipe conveying fluid may affect structural design of nano-devices remarkably specifically, targeted drug delivery systems.