viscous torque T produced on a disc rotating in a liquid depends upon teristic dimension D, the rotational speed N, the density pand the dyna sity u. Show that there are two non-dimensional parameters written as: T and a, PND² AN²D° In order to predict the torque on a disc of 0.5 m of diameter which rotates in c 200 rpm, a model is made to a scale of 1/5. The model is rotated in w Calculate the speed of rotation of the model necessary to simulate the rotatio the real disc. Whan the 18 75 mm ua mne 00m N Pradi

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The viscous torque T produced on a disc rotating in a liquid depends upon the
characteristic dimension D, the rotational speed N, the density pand the dynamic
viscosity u.
a) Show that there are two non-dimensional parameters written as:
T
and a,
PND?
b) In order to predict the torque on a disc of 0.5 m of diameter which rotates in oil at
200 rpm, a model is made to a scale of 1/5. The model is rotated in water.
Calculate the speed of rotation of the model necessary to simulate the rotation of
the real disc.
c) When the model is tested at 18.75 rpm, the torque was 0.02 N.m. Predict the
torque on the full size disc at 200 rpm.
Notes: For the oil: the density is 750kg/m² and the dynamic viscosity is 0.2 N.s/m².
For water: the density is 1000 kg/ m² and the dynamic viscosity is 0.001 N.s/m².
kg.m
IN =1
Transcribed Image Text:The viscous torque T produced on a disc rotating in a liquid depends upon the characteristic dimension D, the rotational speed N, the density pand the dynamic viscosity u. a) Show that there are two non-dimensional parameters written as: T and a, PND? b) In order to predict the torque on a disc of 0.5 m of diameter which rotates in oil at 200 rpm, a model is made to a scale of 1/5. The model is rotated in water. Calculate the speed of rotation of the model necessary to simulate the rotation of the real disc. c) When the model is tested at 18.75 rpm, the torque was 0.02 N.m. Predict the torque on the full size disc at 200 rpm. Notes: For the oil: the density is 750kg/m² and the dynamic viscosity is 0.2 N.s/m². For water: the density is 1000 kg/ m² and the dynamic viscosity is 0.001 N.s/m². kg.m IN =1
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