Chapter 5: Problem 91
Distinguish between shaft work and other kinds of work associated with a flowing fluid.
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Chapter 5: Problem 91
Distinguish between shaft work and other kinds of work associated with a flowing fluid.
These are the key concepts you need to understand to accurately answer the question.
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If a valve in a pipe is suddenly closed, a large pressure surge may develop. For example, when the electrically operated shutoff valve in a dishwasher closes quickly, the pipes supplying the dishwasher may rattle or "bang" because of this large pressure pulse. Explain the physical mechanism for this "water hammer" phenomenon. How could this phenomenon be analyzed?
Figure \(\mathrm{PS} .46\) shows a lateral pipe fitting. This particular fitting has a mainline diameter of 4.0 in. The diameter of the lateral is 3.0 in. and the lateral angle is \(45^{\circ} ; 60^{\circ} \mathrm{F}\) water is flowing in the lateral. Measurements show that the pressure at point 1 is 34.0 psig. the pressure at point 2 is 35.0 psig. the pressure at point 3 is 33.5 psig. and the flow rate at point 2 is \(1.0 \mathrm{ft}^{3} / \mathrm{s}\). Determine the horizontal and vertical force components \(\left(F_{x}\) and \right. \(F_{y}\) ) required to hold the lateral fitting stationary. Neglect gravity. \(Q_{1}=1.63 \mathrm{ft}^{3} / \mathrm{s}\)
Molten plastic at a temperature of \(510^{\circ} \mathrm{F}\) is angered through an extruder barrel by a screw oscupying \(s\) of the tarrel's volume (Fig. \(P 5.16\) ). The extruder is \(16 \mathrm{ft}\) long and has an inner dianeter of 8 in. The barrel is connected to an adspter having a volume of \(0.48 \mathrm{ft}^{3} .\) The adapter is then connected to a die of equal volume. The plastic exiting the die is immediately rolled into sheets. The line is producing 4 -ft widths of material at a rate of \(30 \mathrm{ft} / \mathrm{min}\) and a gauge thickness of 187 mil. What is the axial velocity, \(V_{1},\) of the plastic in the barrel' Assume that the plastic density is constant as it solidifies from a liquid (in the extruder) into a solid sheet.
A pump moves water horizontally at a rate of \(0.02 \mathrm{m}^{3} / \mathrm{s}\) Upstream of the pump where the pipe dianeter is \(90 \mathrm{mm}\), the pressure is \(120 \mathrm{kPa}\). Downstream of the pump where the pipe diameter is \(30 \mathrm{mm}\), the pressure is \(400 \mathrm{kPa}\). If the loss in energy across the purnp due to fluid friction effects is \(170 \mathrm{N} \cdot \mathrm{m} / \mathrm{kg}\), determine the hydraulic efficiency of the pump.
An inward flow radial turbine (see Fig. P5.136) involves a nozzle angle, \(a_{1},\) of \(60^{\circ}\) and an inlet rotor tip speed, \(U_{1},\) of 30 ft \(/ \mathrm{s}\). The ratio of rotor inlet to outlet diameters is \(2.0 .\) The radial component of velocity remains constant at 20 ft/s through the rotor, and the flow leaving the rotor at section (2) is without angular momentum. If the flowing fluid is water and the stagnation pressure drop across the rotor is 16 psi, determine the loss of available energy across the rotor and the hydraulic efficiency involved.
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