The branching of a blood vessel is shown. Blood at pressure of 10 kPa gage flows in the main vessel at 0.004 m³/min. Estimate the blood pressure in branches 2 and 3, assuming that blood vessels behave as rigid tubes, that the flow is steady, frictionless, uniform, and that the vessel lies in the horizontal plane (i.e. you can neglect gravity). You can assume that for blood p = 1000 kg/m³, µ= 0.00282 Pa.s. Q3 Q2 = 0.0025 m³/min 60° 45° D2 = 0.75 cm D3 = 0.25 cm D, = 1 cm Q1 = 0.004 m³/Imin P, = 10 kPa gage

P.4.12 Oil of density 950 kg/m and viscosity 102 Ns/m² is to be pumped 10 km through a pipeline and the pressure drop must not exceed 2x10S N/m. What is the minimum diameter of pipe, which will be suitable, if a flowrate of 50 ton/h is to be maintained? Assume the pipe wall to be smooth. Use either a pipe friction chart or the Blasius equation f= 0.079/ Re4. Ans. d = 0.193 m D412

liquid (density 800kg/m3, viscosity 10−3 kg/ms) has to be supplied at a mean speed of 2m/s through a pipe of diameter 12.5mm with a surface roughness equivalent to that for structural steel. What is the magnitude of the pressure gradient necessary to achieve this flow? Your answer should have a positive sign and be to the nearest 10 Pa/m. You may wish to use the Moody diagram.

A) A 0.4 m diameter fan running at 970 rev min' is tested when the air temperature is 10 °C and the barometric pressure is 772 mm Hg and the volume flow rate Q=0.7 m s. Find the corresponding volume flow of a geometrically similar fan of 1 m diameter, running at 500 rev min at same conditions. Assume that the fan efficiency is unchanged. Ja