Question: 3. A parallel-disk viscometer is shown in the figure below. An incompressible, Newtonian fluid is placed in the gap of thickness B between the two

3. A parallel-disk viscometer is shown in the figure below. An incompressible, Newtonian fluid is placed in the gap of thickness B between the two circular disks of radius R. Develop a formula for deducing the fluid viscosity from the measurement of the torque T required to turn the upper disk at an angular velocity. One may postulate that for small values of , the velocity and pressure profiles have the form vr=vz=0,v=rf(z), and P=P(r,z) in circular cylindrical coordinates. (a) Write done the resulting simplified -component of the equation of motion. (b) Find the function f(z) (c) Obtain the desired formula for the fluid viscosity

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