Consider a tangential laminar flow of an incompressible finding coaxial cylinders. The inner cylinder rotates at an angular velocity, _i, and the outer cylinder is stationary.

a) Making reasonable assumptions simplify the equations of change to get the differential equations for the velocity distribution.

b) Specify the necessary boundary conditions and solve for the velocity profile.

e) Calculate the torque acting on the outer cylinder.

d) The torque indicated by a Couette viscometer is 0.01 N m. If the diameter of the inner cylinder is 100 mm, the annular gap is 1 mm, the length is 120 mm, and the inner cylinder rotates at 40 rpm, determine the viscosity of the fluid contained in the viscometer.