Question

If the __________ doubled, how would blood flow change and by how much? a. radius b....

If the __________ doubled, how would blood flow change and by how much?

a. radius

b. blood viscosity

c. vessel length

d. pressure

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Answer #1

Flow (Q) can be expressed using the given equation -

Flow rate Pressure rRadius Fluid viscosity 8η!

Following changes will occur (provided other factors remains same)

A. Radius

  • Flow will increase by 16 times
  • Because (2x)4=16x and 4th power of radius is directly proportional to flow

B. Blood viscosity

  • Decreases by half (become 1/2 of its original value)
  • Blood viscosity is inversely proportional to flow

C. Vessel length

  • Decreases by Half (1/2 of its original value)
  • Vessel length is inversely proportional to flow

D. Pressure

  • Increases and becomes double (2 times it's original value)
  • Pressure gradient is directly proportional to flow

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