Table 3 Morphometric, numerical mesh, and flow characteristics (showing the estimated thickness of boundary layer, Womersley number - Wo, inlet Reynolds number - \(\hbox {Re}_{0}\), and stenotic Reynolds number - \(\hbox {Re}_{{\mathrm{st}}}\)) for the phantom and the patient with coarctation (CoA). Note that \(\delta _1\) and \(\delta _2\) are the estimated transient boundary layer thickness (\(\delta _1=\sqrt{\nu /\omega }\)) and averaged boundary layer thickness (\(\delta _2=\sqrt{\nu D_0/U}\)), respectively [33]
Phantom | Patient with CoA | |
|---|---|---|
Morphometric characteristics | ||
\(\hbox {D}_{0}\) [cm] | 2.10 | 1.82 |
\(\hbox {D}_{\mathrm{st}}\)/\(\hbox {D}_{0}\) [−] | 0.62 | 0.60 |
Mesh details | ||
Bulk max. element size [mm] | 0.80 | 0.75 |
\(1^{{\mathrm{st}}}\) prism element thickness [mm] | 0.05 | 0.05 |
Exponential growth factor | 1.20 | 1.20 |
Number of prism layers | 10 | 10 |
Flow characteristics | ||
\(\delta _1\) [mm] | – | 0.06 |
\(\delta _2\) [mm] | 0.32 | 0.23 |
\(\hbox {Re}_{0}\) [−] | 4,539 | 6,276 |
\(\hbox {Re}_{st}\) [−] | 7,332 | 11,425 |
Wo [−] | – | 28.87 |