Why would a parallel circuit (or in blood) decrease resistance

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Discussion Overview

The discussion revolves around the concept of resistance in parallel circuits and blood flow, exploring why adding more pathways (like arterioles) decreases resistance. The scope includes theoretical reasoning and conceptual clarification related to fluid dynamics and electrical circuits.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant suggests that increasing the number of arterioles creates a larger total cross-sectional area, which allows blood to flow more efficiently and reduces resistance.
  • Another participant explains that for the same total volume flow, having more parallel paths reduces the flow rate in each path, leading to decreased fluid friction.
  • A third participant references the continuity equation for fluid flow, implying that a larger total flow area results in lower fluid speed, which may contribute to reduced resistance.
  • One participant defines resistance as the rate of flow divided by the pressure difference, indicating that an increase in flow would halve the resistance if the flow doubles.

Areas of Agreement / Disagreement

Participants present multiple perspectives on how increased pathways affect resistance, and while there are overlapping ideas, no consensus is reached on a singular explanation.

Contextual Notes

Some assumptions regarding fluid dynamics and definitions of resistance may not be explicitly stated, and the discussion does not resolve the mathematical implications of the claims made.

hongiddong
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Hi PhysicsForums,

Why would a parallel circuit(or in blood) decrease resistance?

Here is my thought experiment and where I got stuck:

Say from aorta to one arteriole, the resistance is super high on that flow(this big amount of flow is entering a tinier area), but add more arterioles and we have a bigger area in total and blood can flow better(but whyyyy) Why would having a greater area conceptually help with the resistance?
 
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For the same total volume flow, more paths in parallel mean that less blood is required to flow through each, and the consequent lower flow rate in each means there is reduced fluid friction to overcome.
 
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hongiddong said:
Hi PhysicsForums,

Why would a parallel circuit(or in blood) decrease resistance?

Here is my thought experiment and where I got stuck:

Say from aorta to one arteriole, the resistance is super high on that flow(this big amount of flow is entering a tinier area), but add more arterioles and we have a bigger area in total and blood can flow better(but whyyyy) Why would having a greater area conceptually help with the resistance?

Look at the continuity equation for fluid flow. See if you can figure out why a larger total flow area means a lower speed for the fluid. Then apply what NascentOxygen has stated.

Zz.
 
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If you define the resistance as rate of flow divided by pressure difference then the flow will double and, thus, your resistance will halve.
 
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