A glucose solution of viscosity 2.2 x 10 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 arger radii, and viscous forces in them can be gnored. The pressure in the vein is 1000 N/m2 above atmospheric pressure. 2
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Determine the pressure relative to atmospheric pressure needed at the entrance of the needle to maintain a flow rate of 0.10 cm^3/s.
To what elevation should the bag containing the glucose be raised to maintain this pressure at the needle?
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