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:<math> u_p=\frac{ \Delta P R^2}{ 4\mu_p L }[1-(\frac{r}{R})^2]</math>
===Volumetric flow rate===
Total [[volumetric flow rate]] is the algebraic sum of the flow rates in core and plasma region. The expression for the total [[volumetric flow rate]] can be written as:
:<math> Q=\frac{ \pi \Delta P R^4}{ 8\mu_p L }[1-(1-\frac{\delta}{R})^4(1-\frac{\mu_p}{\mu_c})]</math>
Comparison with the [[viscosity]] which applies in the [[Poiseuille flow]] yields effective [[viscosity]], <math> \mu_{e} </math> as:
:<math> \mu_{e}=\frac{\mu_c}{[1-(1-\frac{\delta}{R})^4(1-\frac{\mu_p}{\mu_c})]} </math>
It can be realized when the radius of the [[vessel]] is very larger than the thickness of the cell-free [[plasma]] layer, the effective [[viscosity]] is equal to bulk [[viscosity]] of [[blood]], <math> \mu_c </math>.
==See also==
*[[Fåhræus–Lindqvist effect]]
*[[Blood viscosity]]
*[[apparent viscosity]]
*[[hemodynamics]]
==References==
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