i agree with what you say, i just need an explanation for this contradiction:
Q=AV
Q is constant
if area decreases, velocity increases, which means pressure DECREASES
if area decreases, resistance increases, which means pressure INCREASES
Okay, I figured it out...I didn't put it in terms of resistance, but I point out when pressure increases or decreases. the Q=AV doesn't give the pressure relationship, Bernoulli's equation does. basically, the resistance concept doesn't apply when looking at one specific site of a vessel. when the resistance does apply, Bernoulli's equation does not work because that equation is based on an ideal fluid, which has 0 resistance. just read below.
Based on Bernoulli's equation and volumetricflowrate=Av, velocity increases, cross-sectional area decreases, and pressure decreases. This can be applied only in one specific region of a vessel. In a question that compares a health artery to a nonhealthy artery with a blockage due to atherosclerosis, you use the Bernoulli relationship between pressure, velocity, and CX-area when looking at the exact region of the 2 arteries. So, the blockage decreases CX-area, velocity goes up, and blood pressure decreases AT the site of the blockage; however, systemic blood pressure increases because the heart is working to pump out more blood volume in order to maintain the volumetric flow rate.
When it comes to comparing different areas of a vessels to one another, you cannot use Bernoulli's equation. In this case, pressure and CS-area do not both increase or decrease. Compare an artery to the capillaries. Based on Bernoulli's equation, the capillaries have a larger surface area, thus they should have higher blood pressure. We know this is not true. Capillaries have the least amount of blood pressure of any blood vessel. Therefore, we CANNOT apply Bernoulli's equation when comparing different areas of vessels. This is because Bernoullli's equation is based on an ideal fluid flow, and blood is not an ideal fluid. HOWEVER, the constant volumetric flow rate relationship with CX-area and velocity does still apply. Because volumetric flow rate is constant, capillaries have larger surface area thus should have a slower velocity, which is true. Blood moves the slowest in the capillaries compared to any other vessel.
When it comes to vasoconstriciton, CX-area decreases and blood pressure increases. This also means Bernoulli's equation cannot be applied with vasoconstriction and vasodilation. You can only apply it in blood vessels when you are looking at one specific region of a vessel. Constantvolumetricflowrate=Av always applies, to my knowledge.
Now, if the passage tells you to assume blood is an ideal fluid, then you do apply Bernoulli's equation.
Does this help?