if the velocity of a liquid is 1.65 ft / s in a 12-inch diameter conduit. What is the velocity in a 3-inch diameter jet emerging from a nozzle placed in the duct

Question 2 A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing process, both pastes are pumped through a pipe, with the red paste lying in the centre of the pipe, as shown in Figure Q2. The pipe has an internal radius, R₂, and the segment of red paste has a radius R₁. The flow is found to follow the Poiseuille equation, i.e. u(r) 1 dp - (R² — r²) 4μ dx dp Where is the pressure gradient. The total flow of dx u is the viscosity of the paste and toothpaste through the pipe is Qtot, and the flowrate of the red paste is red- The toothpaste has a density of p = 1200 kg/m³, and a viscosity of 0.03 Pa.s. The pipe has a radius R₂ 5 cm and a length L = 2 m. = a) Find an expression for the flowrate of the red toothpaste. You answer should be in terms of µ, R₁, R₂, dº) R₂₁ b) The flow in the pipe becomes turbulent when the Reynolds number reaches 2000 (where Re is calculated using the mean velocity across the pipe). What is the maximum pressure drop along…

Calculate the average velocity of water through a pipe, in m/s, if the flowrate is 2.1 cubic meters per hour and the pipe's diameter is 23 milimeters  Use two decimal figures in your answer.    Answer:     (1.40)

If 475mm diameter pipeline (A) conveying water splits into 2 smaller pipelines (B) and (C), 275mm and 200mm respectively in diameter. If the velocity of flow in (A) is 2.8 m/sec and the flowrate in (B) is twice that in (C), calculate the flowrate in all pipes and the velocity of flow in pipes (B) and (C).