Engine oil (density = 875 kg/m^3, viscosity = 0.22 kg/m.s) flows in a 25 cm diameter pipe at a velocity of 1.25 m/s. The pressure drop of oil for a pipe length 25 m is

In mechanical fluid

Question 2 //25 Q (a) In figure below the flowing fluid is Helium at 20°C. D2 =6 cm D1=10 cm Neglect losses. If pl = 1400 kPa and the manometer fluid is Meriam red oil (SG = 0.827), estimate (a) p2 and (b) the gas flow rate in m/s. R for Helium is R= 2.0769 kJ/kg/K. 0,827 1000 20+273= 293 1400 = 230 2,0769.298 Hel BT 8 cm Heliom contr 1900 - (9,81/0) 8,27 -2,30) = 932=G Q=AV,9 Q= %3D

3.3. Hagen-Poiseuille Flow: Fluid flows through a variable-diameter pipe as shown in the figure above. The pipe dimensions, flow rate, and fluid properties are as follows: L₁ L₂ L3 = 4 cm A₁ = 1 cm², A₂ = 4 cm². A3 = 0.25 cm² Q = 100 cm³/s p= 1.06 g/cm³ u = 3.5 cP segment 1 20₁ A₁ A₂ segment 2 L₂ Ap segment 3 L3 A3 → Use conservation of mass, the Hagen-Poiseuille relationship, and the electrical circuit analogy to answer the following: a) What should the total pressure drop be across the length of this variable-diameter pipe in order to provide the given flow rate Q? (Use the Hagen-Poiseuille relation and the electrical analogy; each segment is a resistor.) b) What is the average velocity u for each segment? (Mass conservation.) c) What is the Reynolds number (Re = – PHD) for each segment? d) What are the velocities at the centerline and at the wall for each segment?