A- Blood flow from the left ventricle into the aorta can be modeled as a reducing nozzle (Figure below). Model both the left ventricle and the aorta as a tube with diameter of 3.1 and 2.7 cm, respectively. The pressure in the left ventricle is 130 mmHg and the pressure in the aorta is 123 mmHg. Blood is ejected from the left ventricle at a speed of 120 cm/s. Calculate the difference in height between these two locations.

A thin disc with mass 0.018 kg is kept balanced by a jet of air. The diameter of the jet at the nozzle exit is 5 mm. Find the air jet velocity in m/s. Please note that the only forces involved are the weight of the disc and the force from the air jet (the two are balanced). Use the air density of 1.07 kg/m^3 , g = 9.81 m/s^2 and the correction factor beta of 1

Water flows through a constricted pipe at a uniform rate. At one point, the diameter of the pipe is 0.056 m and the pressure is 5.7 x 104N/m2. At another point, 0.8 m higher than the previous point, the diameter is 0.023 m and the pressure is 1 X 104N/m2 . Calculate the velocities at the lower section and the upper section. Also calculate the rate of flow. Density of water = 1000 kg/m3.

Water enters a house through a pipe with an inside diameter of 20 mm at an absolute pressure of 4 ATM. A 10 mm diameter pipe leads to a second-floor bathroom 5.0 m above. When the flow speed at the inlet pipe is 4 m/s, (a) Find the speed of the water flow and pressure in the bathroom. (b) Find the volume flow rate in the bathroom. (c) What is the horse power rating of the motor pump at the inlet pipe needed? Assuming 60% Efficiency.

Air (assumed incompressible) flows steadily into the square inlet of an air scoop with the nonuniform velocity profile indicated in Figure. The air exits as a uniform flow through a round pipe 1 ft in diameter. (a) Determine the average velocity at the exit plane. (b) In one minute, how many pounds of air pass through the scoop

Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables.  b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please