5.18. The tank in Fig. 5.26 has a layer of mercury under a layer of water. The mercury is flowing out through a frictionless nozzle. The heights are h₁ = 1 m and h₂ = 8 m. What is the velocity of the fluid leaving the nozzle? Water h2 FIGURE 5.26

please solve b and shows the steps

A. Suppose a free-fall ride at an amusement park starts at rest and is in free fall. What is the velocity of the ride after 2.3 s? How far do people on the ride fall during the 2.3 s time period?

1) Consider the infinitely tall, annular mixing tank. The fluid to be mixed is Fluid between the inner cylinder and the outer wall. The fluid is mixed by a Fluid spinning the inner cylinder at an angular velocity of n (s-1). The tank has an inner radius of R (m) and the R. inner cylinder has a diameter of k (m). Fluid There is no net flow in the vertical or radial directions. Top view Answer the following questions about Side view this sytem:

1. An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar…

A Newtonian fluid with constant density flows in a parallel-plate apparatus that separated by a distance d and length L as shown in Figure 1. The top plate is moving in z-direction with a velocity uw. Derive the velocity distribution of the fluid, vz as a function of y using equation of motion in Appendix 1. List the postulates and you may neglect the gravity force.

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