(15 pts Professor Cimbala was recently involved in some medical research at Hers
ID: 1849549 • Letter: #
Question
(15 pts Professor Cimbala was recently involved in some medical research at Hershey Medical Center in which the effects of shear stress on bone cells was studied. The cells are mounted on a stationary, round, flat dish of radius R. At distance h above the dish is a spinning disk, also of radius R, rotating at n rpm (angular velocity a). Sandwiched between the upper spinning disk and the lower stationary disk is a liquid with viscosity Al. (a) Generate an expression for shear stress ton the dish as a function of radial h coordinate and the parameters h, Al and angular velocity ap Hinf: The gap height h between the two disks is very small compared to diskradius. Figure for Problem 1.Explanation / Answer
According to newtons law of viscosity
shear stress = dv/dy
dv=r-0 = r (as bottom disc is static)
dy = h-0 =h
= dv/dy= * (r/h)
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