A hospital patient receives a quick 500-cc blood transfusion through a needle with a length of 5.0 cm and an inner diameter of 1.0 mm. if the blood bag is suspended 0.85 m above the height where the blood first starts to flow into the vein, how long does the transfusion take? (Neglect the viscosity of the blood flowing in the plastic tube between the bag and the needle.)

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SchulzD · Accepted Answer

from Poiseuille&#039;s equation we have η=πPr4t8lV  IS THECOEFFICIENT OF VISCOSITY OF THE BLOOD P IS THE PRESSUREDIFFERENCE = 0 .85 m r is the radious of the needle =1.02mm , l is the length of the needle = 5 cm V is the volume of the blood =500−cc , tis time for transfusion if we rewrite theabove equation in terms of &#039; t &#039; then we will get andplug the values t=8lVηπPr4 convertthe units and plug the values you will get the answer 2. The Flow rate is given by Vt=R4P8?L 0rt=8LVR4Pt But the pressure difference  P=h?g 0r t=8LVR4h g 0r t=7.8mins

A hospital patient receives a quick 500-cc blood transfusion through a needle with a length of 5.0 cm and an inner diameter of 1.0 mm. if the blood ba

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