Pressure needed for intravenous needle A glucose solution of viscosity 2.2 X 10-3 N . s/m2 and density 1030 kg/m3 flows from an elevated open bag into a vein. The needle into the vein has a radius of 0.20 mm and is 3.0 cm long. All other tubes leading to the needle have much larger radii, and viscous forces in them can be ignored. The pressure in the vein is 1000 N/m2 above atmospheric pressure. (a) Determine the pressure relative to atmospheric pressure needed at the entrance of the needle to maintain a flow rate of 0.10 cm3/s. (b) To what elevation should the bag containing the glucose be raised to maintain this pressure at the needle?
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