Consider steady flow of blood through a capillary of radius . The capillary cross section can be divided into a core region and cell-free plasma region near the wall. The governing equations for both regions can be given by the following equations:
where:
: is the pressure drop across the capillary
: is the length of capillary
: is velocity in core region
: is velocity of plasma in cell-free region
: is viscosity in core region
: is viscosity of plasma in cell-free region
: is the cell-free plasma layer thickness