4. The mouse is used as a model of cardiovascular disease in humans. Researchers have decided to study blood flow patterns in the mouse aorta. To do so, they build a five-times-larger scale model of the aorta (all linear dimensions increased five-fold), attach it to a pulsatile pump to simulate the heart, and use a model fluid with the properties shown in the table below. Because it is known that disease development depends on the shear stress, t, exerted by flowing blood on the endothelial cells that line the arteries, they wish to measure this quantity. In addition, they want to figure out what should be the heart rate and cardiac output (volumetric flow rate) in the model. 1.8 Parameters Mouse Model Heart Rate, HR, (#/min) 650 ? Cardiac output, volumetric flow rate, Q (Liter/min) 0.026 ? Aorta Diameter, D, (cm) 0.06 0.3 Fluid Density, p, (gm/cm) 3.5 17 Fluid Viscosity, H, (CP) 1.05 Shear Stress, t, (dyne/cm) ? 35 (a) Confirm that three n-groups can be formed from the relevant parameters in this problem. (b) Find these -groups. (c) What heart rate and flow rate should be used in the five-times-larger model to match the situation in the mouse aorta? (d) If a shear stress of 35 dyne/cm2 is measured at a certain location in the five-times-larger model, what will the corresponding shear stress be at the corresponding location in the mouse aorta