Would greater flow take precedence over velocity in pressure

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SUMMARY

The discussion centers on the relationship between flow, velocity, and pressure in arterial systems, specifically addressing the equation for mean arterial pressure, which is defined as flow multiplied by resistance. It highlights that increasing flow results in increased velocity, as described by the equation Velocity = flow / cross-sectional area, while also noting that Bernoulli's principle indicates that higher velocity can lead to lower pressure in inviscid flow scenarios. The consensus is that in viscous flow conditions, such as those found in arteries, the pressure drop is influenced by both flow and resistance, with high pressure upstream of constrictions and low pressure downstream.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly Bernoulli's equation.
  • Knowledge of mean arterial pressure calculations and their components.
  • Familiarity with the concepts of viscous versus inviscid flow.
  • Basic comprehension of arterial anatomy and blood flow dynamics.
NEXT STEPS
  • Research the implications of Bernoulli's principle in real-world fluid dynamics applications.
  • Study the effects of viscosity on blood flow in arteries using computational fluid dynamics (CFD) software.
  • Explore the relationship between arterial resistance and blood pressure regulation in cardiovascular physiology.
  • Examine case studies involving pressure changes in arteries during various physiological conditions.
USEFUL FOR

Medical professionals, fluid dynamics researchers, and students studying cardiovascular physiology will benefit from this discussion, particularly those interested in the mechanics of blood flow and pressure in arterial systems.

hongiddong
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The equation for mean arterial pressure = flow * resistance, however, if we increase flow we would increase velocity by the equation Velocity = flow/ cross sectional area, and velocity would decrease pressure according to bernoullies law?

Which would take precedence in generating more pressure on the arterial walls?
 
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hongiddong said:
The equation for mean arterial pressure = flow * resistance, however, if we increase flow we would increase velocity by the equation Velocity = flow/ cross sectional area, and velocity would decrease pressure according to bernoullies law?

Which would take precedence in generating more pressure on the arterial walls?
Bernoulli is for "inviscid" flow -- no resistance. You have a pipe with approximately the same pressure at inlet and outlet and find that the pressure varies depending on the flow velocity. Center of the constrictions = low pressure. Wide points = ambient pressure.

An equation for pressure = flow * resistance assumes the opposite. A viscous flow. You have a pipe with a constriction. Upstream of the constriction you have a high pressure, downstream you have low pressure. The pressure drop scales with flow and with resistance. Upstream of constriction = high pressure, downstream = low pressure.

An artery is pretty much by definition "upstream" of a viscous restriction (the capillaries).

[Caveat: I have zero real world experience with medicine, blood pressure and fluid dynamics]
 
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