Question

a) (18 pts) Define/illustrate the shell and use an appropriate shell momentum balance to show that the velocity profile containing integration constants. 2. (30 pts + 5 pts bonus) At ambient conditions, water is pumped through a microscale channel as shown in the figure below. The microchannel is 500 um in width (W), 50 µm in height (2H) and 2 cm in length (L). End effects may be neglected because of H<<W< L. d) (Bonus, 5 pts) Based on the volumetric flow rate correlation, to maintain a steady volumetric flow rate of water at 10 µl/hr, what pressure drop along the length of 2 cm is required? At ambient conditions, the viscosity of water is 8.94 x 10^-4 Pa.s.

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