Calculating h for Blood Transfusion Needle

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SUMMARY

The discussion focuses on calculating the height (h) for a blood transfusion needle using Poiseuille's equation. The needle has an inside diameter of 0.40 mm and is 4.0 cm long, with a blood pressure of 2400 Pa and a required flow rate of 4.0 cm³/min. The relevant parameters include blood density (ρ = 1050 kg/m³) and viscosity (η = 0.0040 Pa·s). Participants emphasize the application of Poiseuille's equation, specifically the formula for pressure change, to determine the necessary height for the transfusion setup.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with Poiseuille's equation
  • Basic knowledge of pressure, flow rate, and viscosity
  • Ability to perform unit conversions (e.g., mm to m)
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  • Calculate the pressure change using Poiseuille's equation
  • Explore the effects of varying needle diameter on flow rate
  • Research blood flow dynamics in medical applications
  • Learn about the implications of viscosity in transfusion procedures
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Students in medical engineering, healthcare professionals involved in transfusion procedures, and anyone studying fluid dynamics in biological systems.

Dr.Wasim
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Homework Statement



A patient is to be given a blood transfusion. If the inside diameter of the 4.0 cm long
needle is 0.40 mm, the blood pressure in the arm is 2400 Pa, and the required flow is 4.0
cm³/min, how high h should the bottle be placed? (ρ = 1050 kg/m³, η =0.0040 Pa·s)



Homework Equations



I don't know how to do this question

please help me through " Poisieulles' equation " only

Best Wishes for you
 
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Hi Dr.Wasim! :wink:

Poiseuille's equation is change in pressure = 8ηLQ/πr4
see http://en.wikipedia.org/wiki/Poiseuille%27s_law" for details.

Show us what you get. :smile:
 
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