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Membrane Water Treatment
  Volume 12, Number 1, January 2021, pages 37-41
DOI: https://doi.org/10.12989/mwt.2021.12.1.037
 


Fast transport with wall slippage
Zhipeng Tang and Yongbin Zhang

 
Abstract
    This paper presents the multiscale calculation results of the very fast volume transport in micro/nano cylindrical tubes with the wall slippage. There simultaneously occurs the adsorbed layer flow and the intermediate continuum fluid flow which are respectively on different scales. The modeled fluid is water and the tube wall is somewhat hydrophobic. The calculation shows that the power loss on the tube no more than 1.0 Watt/m can generate the wall slippage even if the fluid-tube wall interfacial shear strength is 1 MPa; The power loss on the scale 104 Watt/m produces the volume flow rate through the tube more than one hundred times higher than the classical hydrodynamic theory calculation even if the fluid-tube wall interfacial shear strength is 1 MPa. When the wall slippage occurs, the volume flow rate through the tube is in direct proportion to the power loss on the tube but in inverse proportion to the fluid-tube wall interfacial shear strength. For low interfacial shear strengths such as no more than 1 kPa, the transport in the tube appears very fast with the magnitude more than 4 orders higher than the classical calculation if the power loss on the tube is on the scale 104 Watt/m.
 
Key Words
    adsorbed layer; micro/nano tube; multiscale flow; transport; wall slippage
 
Address
Zhipeng Tang: College of Mechanical Engineering, Changzhou Vocational Institute of Mechatronic Technology, Changzhou, Jiangsu Province, China
Yongbin Zhang: College of Mechanical Engineering, Changzhou University, Changzhou, Jiangsu Province, China
 

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