Frictional Moment and Pressure Drop of the Flow through Co-Axial Cylinders with an Outer Rotating Cylinder

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We studied experimentally the frictional moment (torque resistance) and the pressure drop (loss of head) of the flow in co-axial cylinders of which the outer cylinder rotates, using water and a glycerine-water solution. Comparing these experimental results with those of the inner rotaing cylinder, we clarified the behaviors of shearing stresses of the flow in the co-axial cylinders. When the clearance ratio β is large, the coefficient of the frictional moment C_M and the coefficient of the loss of head λ is extremely smaller than that of the inner rotating cylinder in a wide range of rotating Reynolds numbers R_ω and axial Reynolds numbers R_c for the turbulent flow. When R_ω is slightly larger than the critical value from laminar to turbulent flow for R_c=O, the values of C_M and λ approach the theoretical values of the laminar flow as R_c increases from zero to a certain value. In the case of β=0.03,λ shows a good agreement with the theoretical value for turbulent flow.
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