5.16. In the tank in Fig. 5.24 water is under a layer of compressed air, which is at a pressure of 20 psig. The water is flowing out through a frictionless nozzle, which is 5 ft below the water surface. What is the velocity of the water? Fig! Compressed air FIGURE 5.24 BERNOULLI'S EQUATION 171 P=20 psig 5 ft

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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**Fluid Dynamics and Bernoulli's Equation**

**Problem 5.16:**

In the setup depicted in Figure 5.24, water is contained within a tank beneath a layer of compressed air, exerting a pressure of 20 psig. The water exits the tank through a frictionless nozzle located 5 feet below the water surface. The task is to determine the velocity of the water as it exits the nozzle.

**Diagram Explanation (Figure 5.24):**

- The figure shows a vertical tank with water inside, topped by a layer of compressed air.
- The pressure of the compressed air is marked as P = 20 psig.
- There is a distance of 5 feet from the water surface to the nozzle through which the water flows out.
- The nozzle is described as frictionless, implying that energy losses due to friction can be ignored during the flow.
  
By applying Bernoulli's equation, which relates the pressure, velocity, and height at two points in a fluid flow, we can derive the velocity of the water as it exits the nozzle under the given conditions.
Transcribed Image Text:**Fluid Dynamics and Bernoulli's Equation** **Problem 5.16:** In the setup depicted in Figure 5.24, water is contained within a tank beneath a layer of compressed air, exerting a pressure of 20 psig. The water exits the tank through a frictionless nozzle located 5 feet below the water surface. The task is to determine the velocity of the water as it exits the nozzle. **Diagram Explanation (Figure 5.24):** - The figure shows a vertical tank with water inside, topped by a layer of compressed air. - The pressure of the compressed air is marked as P = 20 psig. - There is a distance of 5 feet from the water surface to the nozzle through which the water flows out. - The nozzle is described as frictionless, implying that energy losses due to friction can be ignored during the flow. By applying Bernoulli's equation, which relates the pressure, velocity, and height at two points in a fluid flow, we can derive the velocity of the water as it exits the nozzle under the given conditions.
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