Saline solution is delivered into the vein of a patient through a needle. The saline solution has a viscosity of 0.00037 Pa.s, a density of 1,060 kg/m3, and is delivered through a 7.0-cm long needle with an internal diameter of 0.24 mm directly into the patient’s vein in which the blood pressure is 130 mmHg (1mmHg=133.4 Pa). The saline solution must be delivered at a flow rate of 0.04×10-6 m3/s. How high must the saline solution be suspended in order to achieve this flow rate? Assume acceleration due to gravity is 9.81 m/s2.
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.
Saline solution is delivered into the vein of a patient through a needle. The saline solution has a viscosity of 0.00037 Pa.s, a density of 1,060 kg/m3, and is delivered through a 7.0-cm long needle with an internal diameter of 0.24 mm directly into the
patient’s vein in which the blood pressure is 130 mmHg (1mmHg=133.4 Pa). The saline solution must be delivered at a flow rate of 0.04×10-6 m3/s. How high must the saline solution be suspended in order to achieve this flow rate? Assume acceleration due to gravity is 9.81 m/s2.
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