An LDV based method to quantify the error of PC-MRI derived Wall Shear Stress measurement

Figure 1. (a) Experimental set-up in LDV facility and its schematic (top, right): (1) Pulsatile Pump, (2) Connecting pipes, (3) LDV head, (4) Laser displacement system, (5) Test Section, (6) Reservoir. (b) LDV acquisitions. (c) Experimental Set-up in MRI facility: (1) Pulsatile Pump, (2) Connecting pipes, (3) Agarose gel plastic box with the test section, (4) MRI array coils, (5) MRI system, (6) Reservoir.

Figure 2. LDV verification with CFD for pulse test at different time frames. First row: Velocity centerlines; Second row: Correlation plots with regression lines in red; Third row: Finite difference WSS profiles on the test section boundaries expressed in Pa, results are plotted along the boundary coordinate l, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0\le l\le 100$$\end{document}0≤l≤100 mm; Fourth row: Flow rate (left) and schematic of the boundary coordinate l to plot WSS profiles (right).

Figure 3. PC MRI Velocity Profiles, columns from left to right: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm {Pulse4D}}_{\mathrm{X0}}$$\end{document}Pulse4DX0, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm {Pulse4D}}_{\mathrm{X1}}$$\end{document}Pulse4DX1, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathrm {Pulse4D}}_{\mathrm{X2}}$$\end{document}Pulse4DX2 tests. First row: Velocity centerlines; Second row: Correlation plots with regression lines in red; Third row: Magnitude images; Fourth row: Flow rate and location of measurement cross-section in the test section, marked with the red line.

Figure 4. 3D-WSS profiles on the test section boundaries expressed in Pa, results are plotted along the boundary coordinate l, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0\le l\le 100$$\end{document}0≤l≤100 mm. Right: Schematic of the boundary coordinate l to plot WSS profiles.