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A Solution for the Flow Between a Cone and a Plate at Low Reynolds Number

A Solution for the Flow Between a Cone and a Plate at Low Reynolds Number
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摘要 An analysis of the flow in the gap between a rotating cone and a stationary plate at low Reynolds numbers is presented. Using series expansions for the components of the mean velocity profile and the pressure gradient the Navier-Stokes equations and the continuity equation for a Newtonian fluid written in cylindrical coordinates are solved. It is found that the solution is stable and convergent for the local Reynolds numbers Re smaller than 1.2928. The computed angle of the wall streamlines is found to be in good agreement with experimental data. An analysis of the flow in the gap between a rotating cone and a stationary plate at low Reynolds numbers is presented. Using series expansions for the components of the mean velocity profile and the pressure gradient the Navier-Stokes equations and the continuity equation for a Newtonian fluid written in cylindrical coordinates are solved. It is found that the solution is stable and convergent for the local Reynolds numbers Re smaller than 1.2928. The computed angle of the wall streamlines is found to be in good agreement with experimental data.
出处 《Journal of Thermal Science》 SCIE EI CAS CSCD 2002年第4期289-295,共7页 热科学学报(英文版)
关键词 cone-plate-apparatus three-dimensional LAMINAR FLOW ASYMPTOTIC expansion. cone-plate-apparatus three-dimensional laminar flow asymptotic expansion
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参考文献4

  • 1Y. Grad,S. Einav.Spectral and instantaneous flow field characteristics of the laminar to turbulent transition in a cone and plate apparatus[J].Experiments in Fluids.2000(4)
  • 2Fewell, M E,,Heliums, J D.The Secondary Flow ofNewtonian Fluids in Cone-and-Plate Viscosimeters[].Trans Soc Rheol.1974
  • 3Sdougos, H P,Bussolari, S R,Dewey, C F.SecondaryFlow and Turbulence in a Cone-and-Plate Device[].Journal of Fluid Mechanics.1984
  • 4Schnittler, H-J,Franke, R P,Akaby, U, et al.Improved inVitro Rheological System for Studying the Effect ofFluid Shear Stress on Cultured Cells[].American Journal of Physiology.1993

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