The Sliding Cylinder Viscometer

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  • すべり落円柱粘度計

Abstract

For a cylinder sliding downward in an inclined tube filled with a Newtonian fluid, the translational velocity was measured in the region of low Reynolds number and it was compared with the results of dimensional analysis and Irving's approximate treatment. The resistance to the sliding motion of the cylinder was also characterized on the basis of dimensional analysis.<BR>The translational velocity of cylinder V is expressed as<BR>V=VM/βV<BR>where VM, is the theoretical value derived from the approximate theory and Bv is an unknown function of the dimensionless quantities d/D, l/d, and ρs/ρ:<BR>_??_<BR>Here, D is the diameter of tube, ρs is the fluid density, and d, l and ρ are the diameter, length and density of cylinder, respectively. Bv was 1.0±0.2 at d/D≥0.8, l/d=2-10, and ρs/ρ=2-7, respectively, and it decreased with increasing diameter ratio d/D. The resistance characteristic of sliding cylinder was expressed as<BR>_??_<BR>in terms of the drag coefficient Ch and the Reynolds number Rh. The characteristic function βD was formulated as<BR>_??_<BR>in experimental regions that d/D=0.80-0.93,l/d=2-10, and ρs/ρ=2-7. These equations may be applicable to determination of the viscosity of liquids, and give the basis of the“Sliding Cylinder Viscometer”.<BR>The design of Sliding Cylinder Viscometer was discussed and some recommended values of its main dimension were proposed.

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