Blood is flowing through point P (Figure 2.5), which is connected to a catheter tip manometer system. Blood enters the manometer and equilibrates the pressure of the various fluids within the system (as denoted in the figure). Calculate the pressure within the blood vessel. Blood density is 1050 kg/m³, atmospheric pressure is 760 mmHg 25 cm Blood 2 Fluid 1, P₁ = 879 kg/m³ 1 ↓ TU 45 cm 10 cm Fluid 2. P2 = 1200 kg/m³ Atmospheric pressure Figure 2.5 Schematic of a catheter tip manometer to measure intravascular blood pressure

An incompressible fluid oscillates harmonically (V = Vosinut, where Vis the velocity) with a frequency of 9 rad/s in a 6-in.-diameter pipe. A 1/5 scale model is to be used to determine the pressure difference per unit length, Ap, (at any instant) along the pipe. Assume that Api= f(D, Vo, w, t, u, p) where D is the pipe diameter, w the frequency, t the time, the u fluid viscosity, and p the fluid density. If the same fluid is used in the model and the prototype, at what frequency should the model operate? Wm i rad/s

Q1(b) A multi fluid manometer is shown in Figure Q1(b). Determine the following: (i) Determine height 'h' if the difference in pressure between the two pipes is 15.38 kPa; [6] (ii) Difference in pressure between the two pipelines if both pipes are in the same level. [6] Take density of air = 1kg/m3 and density of water = 1000kg/m3. Oil SG = 0.79 Gasoline SG =0.70 PIPE Air 45 cm hcm Pipe 22 cm 10 cm `Mercury SG= 13.6 Water Figure Q1(b)

Fluid mechanics -Q (1)