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(Solved): A rotary viscometer consists of two nested cylinders. Radius Ro of outer cylinder, angular rota ...



A rotary viscometer consists of two nested cylinders. Radius Ro of outer cylinder, angular rotation
speed is wo. The inner radius of the fixed inner cylinder is given as Ri. between two cylinders
The cavity is filled with the liquid whose dynamic viscosity (µ) is to be measured. The length of the rollers perpendicular to the sheet plane, L
and the extreme effects are neglected (therefore this problem should be treated as a two-dimensional problem.
receivable). The torque T must be applied to the outer cylinder to rotate it at a constant speed.
as it is; by showing all the details of the T torque that needs to be applied, the operations you have done
Express it in terms of other variables.



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Given ,
Outer radius = R0
Inner radius = Ri
angular rotation speed = w0
dynamic viscosity =   
Length of rollers = L




As the outer cylinder will start to rotate with angular velocity  , fluid particles near to the outer layer will also start to rotate with angular velocity   .as the gap between the particles are very small , the change in angular velocity will be very small and we will assume that velocity profile developed will be Linear.


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