Problem 3. A liquid is flowing through an 8cm diameter pipe. It is being heated by a hot fluid flowing outside of the pipe. Local velocities of the liquid stream were obtained at different radial positions by pitot tube inserted into the pipe and they are tabulated below with the local temperature values: r (cm) 0 v (m/s) 0.63 T (°C) 16 0.5 1.0 1.5 2.0 2.5 3.0 3.5 3.75 0.62 0.60 0.57 0.52 0.45 0.35 0.22 0.11 17 18 19 20 22 26 35 47 4.0 0 75 a) Calculate the Reynolds number by estimating the volumetric flow rate of the liquid. b) Calculate the Nusselt number by using the appropriate correlation. c) Estimate the local heat transfer coefficient. d) Calculate the bulk temperature at that location. e) Suggest another way to find the heat transfer coefficient. Which of the heat transfer coefficients would you rely on most? Average liquid properties: p= 700 kg/m³, μ = 0.0018 kg/(m.s), k = 0.6 W/(m.K), CP=300 J/kg.

Q.3 A converging-diverging nozzle is supplied by a huge air reservoir. The nozzle has a throat area of 10 cm? and an exit area of 20 cm?. The reservoir conditions are P. = 300 kPa and To = 30 °C. Determine the range of the back pressure over which (a) shocks appear in the nozzle, (b) oblique shocks form at the exit, and (c) expansion waves form. (d) Calculate the mass flow rate through the nozzle for the case in which a normal shock appears at the exit plane.

0.4 The particle in the figure is moving supersonically in sea-level standard air (15°C). From the two given disturbance spheres, compute the particle Mach number, velocity, and Mach angle. 8 m Particle 3 m V- 8 m