A 3 cm long needle at the bottom of a tube connected to an IV bag is used. to inject a 125 mL of saline solution located h = 70 cm above the needle over a one hour period. The viscosity of the saline solution is 1.1 mPa.s and its density is 970 kg/m³. You may assume the resistance to flow and fluid speed in the bag and the tube is negligible - only the resistance across the needle needs to be taken into account. A. If the vein's gauge pressure is 5 mmHg, what will be the difference in the input and output pressures across the needle in both mmHg and Pa? B. What is the flow rate of the fluid, in S.I. unis? C. What is the radius of this needle in mm?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 3: IV Bag
A 3 cm long needle at the bottom of a tube connected to an IV bag is used
to inject a 125 mL of saline solution located h = 70 cm above the needle
over a one hour period. The viscosity of the saline solution is 1.1 mPa.s
and its density is 970 kg/m³. You may assume the resistance to flow and
fluid speed in the bag and the tube is negligible - only the resistance across the
needle needs to be taken into account.
A. If the vein's gauge pressure is 5 mmHg, what will be the difference
in the input and output pressures across the needle in both mmHg
and Pa?
B. What is the flow rate of the fluid, in S.I. unis?
C. What is the radius of this needle in mm?
Transcribed Image Text:Problem 3: IV Bag A 3 cm long needle at the bottom of a tube connected to an IV bag is used to inject a 125 mL of saline solution located h = 70 cm above the needle over a one hour period. The viscosity of the saline solution is 1.1 mPa.s and its density is 970 kg/m³. You may assume the resistance to flow and fluid speed in the bag and the tube is negligible - only the resistance across the needle needs to be taken into account. A. If the vein's gauge pressure is 5 mmHg, what will be the difference in the input and output pressures across the needle in both mmHg and Pa? B. What is the flow rate of the fluid, in S.I. unis? C. What is the radius of this needle in mm?
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