How to Solve Volumetric Flow Balance Problems in Biomedical Engineering

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Discussion Overview

The discussion revolves around solving volumetric flow balance problems in the context of biomedical engineering, specifically related to a homework problem involving flow rates and mass balances. Participants explore the application of mass and volumetric flow balances in a given scenario.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant states the principle that the sum of flow rates in equals the sum of flow rates out, providing an initial equation based on given values.
  • Another participant suggests performing an overall mass balance followed by component balances, indicating a method to approach the problem with specific equations.
  • A further contribution clarifies that the problem requires a volumetric flow balance rather than a mass balance, emphasizing the importance of constant density for this approach.

Areas of Agreement / Disagreement

Participants present differing approaches to the problem, with some focusing on mass balances and others on volumetric flow balances. No consensus is reached on the best method to apply.

Contextual Notes

There are potential limitations regarding the assumptions of constant density and the need for unit consistency in the calculations. Some participants note that certain given values may complicate the analysis.

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***Biomedical Eng. HW Prob! Help!***

Homework Statement


http://img11.imageshack.us/img11/3586/20582546.jpg


Homework Equations





The Attempt at a Solution



all i know is the the sum of flow rate in is equal to the sum of flow rate out
so i did
0.1 mg/ml * 1200 ml/min = 1.5 ml/min*5 mg/ml + mass flow rate blood.
and the m flow rate for blood is equal to 112.5 mg/min
i really don't know what to do next..please help.
 
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can anyone please help?
 


first do an overall mass balance

Vb=Vf+Vu

then do your component balances

cu,bVb=cu,fVf+cu,uVu
cd,bVb=cd,fVf+cd,uVu

here you only have 3 unknowns. plug and chug, but make sure your units match up since some of your givens are funky.
 


one other thing to note in this problem is that we're not really doing a mass balance, but a volumetric flow balance. you can ONLY do volumetric flow balances when your density is constant, otherwise you must convert each stream into a mass flow rate!
 

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