The pressure difference, across a partial blockage in an
Chapter 1, Problem 1.15(choose chapter or problem)
The pressure difference, \(\Delta p\), across a partial blockage in an artery (called a stenosis) is approximated by the equation
\(\Delta p=K_{v} \frac{\mu V}{D}+K_{u}\left(\frac{A_{0}}{A_{1}}-1\right)^{2} \rho V^{2}\)
where V is the blood velocity, \(\mu\) the blood viscosity \((FL^{-2}T)\), \(\rho\) the blood density \((ML^{-3}), D\) the artery diameter, \(A_0\) the area of the unobstructed artery, and \(A_1\) the area of the stenosis. Determine the dimensions of the constants \(K_v\) and \(K_u\). Would this equation be valid in any system of units?
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