With respect to these laws, which of these does, and which of these do not, apply to blood flow?

Hello,

Well, Poiseuille's Law was actually formulated in an attempt to describe blood flow, because Poiseuille was a physiologist as well as a physicist so this one applies, though it is not as good as current.

The other equations can and do apply, but in their usual forms, they are too simplistic to really model blood flow effectively. However, in certain bloodflow such as that in high-velocity, large-artery blood flow, all of these equations will apply effectively. Also, more specifically, in Poiseuille, we can also describe the blood flow in capillaries.

So, the answer is all of them, though neither is completely accurate, it just depends on how accurate you need an answer and the type of blood flow you are modeling. However, blood has many non-linear effects as it is a casson-like fluid which experiences phenomenon such as rouleax formation.

If asked a question about blood flow, I guess you would need to just calculate based on the parameters which they give you.

Also, just as added info, one reasonable steady flow equation that works in many arteries and veins (neglecting the pulsatile component):

p*pi*r^2 + tau*2*pi*r*deltax - (p + deltap)*pi*r^2 = 0

where p is pressure

r is radial coordinate

tau is the shear force as a function of radial coordinate

delta x is the differential size of the blood elements

delta p is the differential change in pressure over the blood elements

hope this helps.

good luck