A pressurized water tank has a gauge pressure (pA) of 35 kPa. A 4-mm-diameter pipe that is 50 m long connects to another tank that is open to the atmosphere. The pipe has a roughness of 0.26 mm. Assume fully-developed flow for the entirety of the pipe. Neglect gravitational effects. Use properties of water at 20°C.

Carbon dioxide at 125 °C flows over a flat plate at 0.4 m/s. If we use 3.5 x 105 as the critical Reynolds number, what will be the distance along the plate that you can expect the flow to remain laminar? What is the distance if you use the range of values given by my fluid’s textbook (Cengal and Cimbala) of 1 x 105 for ideal situations to 5 x 105 for typical engineering situations?

A smooth square cylinder is put in 15 °C  flowing water. The flow direction is perpendicular to the long axis of the cylinder (parallel to the square section). The edge length of the square is s=2.0m. The long axis length is L=5.0m.  The flow velocity is v=0.046 m/s.  The density of water is ρ=1000kg/m3.  T he dynamic viscosity is η=1.15×10-3kg/m·s. (3) Calculate the drag force FD_________N (2 decimal places)

Oil Coating: A long, continuous belt is pulled upwards through a chemical oil bath at velocity V0. The belt has rectangular cross-section and has length (L), width into the paper (W). The belt picks up a film of oil of thickness h, density ρ, and dynamic viscosity μ. Gravity g tends to make the oil drain down, but the movement of the belt keeps the fluid from running off completely. Assume fully developed, steady, laminar, incompressible and two-dimensional flow of oil to answer the following questions. Assume that no pressure gradient is needed in the vertical direction to drive the film flow. Also assume that the shear stress at the air-oil interface is zero (free shear condition). Assume no-slip condition for the fluid in contact with the moving belt. Justify any other assumptions you may make. Show all steps. (a) Derive an expression for the two-dimensional velocity field inside the oil film in terms of the known parameters. Clearly indicate your co-ordinates and origin. You must…

A pipe delivers grape juice to a 1.5 m diameter tank. Another pipe (5 cm in diameter), located near the base of the tank is used to extract the grape juice from the tank. Calculate the rate of flow of juice into the tank if the surface of the juice remains constant at a height of 2.5 m. (Assuming the physical properties of grape juice as water and the acceleration due to gravity is 9.81 m / s2) = ... liters / minute