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  3. 3 the device in fig below is called a semiconeplate...

Question: 3 the device in fig below is called a semiconeplate...

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3. The device in Fig. below is called a semi-cone-plate viscometer. The first section of the cone is with equation y-ax2, where a is a constant parameter. Also, the constant depth at horizontal region is h and the gap is filled with the test liquid. The total torque M to rotate the cone at a rate Ω is measured. Assuming a linear velocity profile in the fluid film a) Derive an expression for fluid the Torque Mi in curved region. b) Derive an expression for fluid the Torque Mz in horizontal region. c) Hence obtain viscosity μ as afunction of(M, r, r2 Ω, a, h) Note: arc length: ds-.dx2 + dy2 = 11 + 14y dx

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