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Exam2_Review_problems

# Exam2_Review_problems - the fluid weight Use the...

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11/11/2009 Midterm 2 Review problems 057:020 Fall 2009 1. Mass and momentum conservation The water jet in Fig. P3.40 strikes normal to a fixed plate. Neglect gravity and friction, and compute the force F in newtons required to hold the plate fixed. 2. Energy conservation Turbines convert the energy contained within a fluid into mechanical energy or shaft work. Turbines are often used in power plants with generators to produce electricity. One such installation is in a dam as shown in Figure 3.20. Water is permitted to flow through a passageway to the turbine, after which the water drains downstream. For the data given in the figure determine the power available to turbine when the discharge at the outlet is 30 m 3 /s. 3. Differential analysis An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as is shown in Fig.6.92. The two plates move in opposite directions with constant velocities, U 1 and U 2 , as shown. The pressure gradient in the x direction is zero and the only body force is due to

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Unformatted text preview: the fluid weight. Use the Navier-Stokes equations to derive an expression for the velocity distribution between the plates. Assume laminar. 11/11/2009 Midterm 2 Review problems 057:020 Fall 2009 4. Dimensional analysis Molasses is stored in a tank 15 m in diameter. It leaves the tank under the action of gravity through a pipe at the tank bottom and flows to a bottling machine. It is imperative that no air be allowed in the system, which is a possibility when the level of molasses in the tank is so low that a vortex forms over the discharge pipe (Fig. 4.5). A study is made of the system with a one-fifth scale model using water as the fluid medium. Measurements made on the model indicate that when h = 8 cm a vortex forms. What is the corresponding depth on the prototype? Take the density of molasses to be 1300 kg/m 3 . 11/11/2009 Midterm 2 Review problems 057:020 Fall 2009 Solutions 1. 2. 3. 11/11/2009 Midterm 2 Review problems 057:020 Fall 2009 4. gl V gl V M M =...
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Exam2_Review_problems - the fluid weight Use the...

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