Consider a closed microfluidic cell-culture chamber of dimensions 31 mm × 1 mm × 120 μm (l × w × h).
Neutrophils are attached to the floor of this chamber, and cell-culture medium is flowed through the chamber at 0.20 mL/min. The density and viscosity values of the cell-culture medium can be assumed to be the same as water. I. (10 points) Calculate the Reynolds number and comment on the flow conditions inside the chamber. II. (15 points) Calculate the maximum linear velocity (vx) experienced by the cells. For convenience, assume that the velocity changes only as a function of the chamber height. Also, assume that the cells are of a uniform height. Justify the selected height of cells and any additional assumptions made. Hint: Use equations describing pressure-driven flow through a narrow rectangular channel.
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