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Verify the accuracy of the computations for the result E3.5.7 (Textbook, p. 148) by applying the generalized Bernoulli eq. between points 2 and 3 (s. Fig. E3.2)

Verify the accuracy of the computations for the result E3.5.7 (Textbook, p. 148) by applying the generalized Bernoulli eq. between points 2 and 3 (s. Fig. E3.2)

Introduction to Chemical Engineering Thermodynamics
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Verify the accuracy of the computations for the result E3.5.7 (Textbook, p. 148) by applying the generalized Bernoulli eq. between points 2 and 3 (s. Fig. E3.2).

**Example 3.2—Unloading Oil from a Tanker at a Specified Flow Rate and Diameter** **General.** The following statements apply to Examples 3.2, 3.3, 3.4, and 3.5. Fig. E3.2 shows a pump that transfers a steady stream of 35° API crude oil from an oil tanker to a refinery storage tank, both free surfaces being open to the atmosphere. The effective length— including fittings—of the commercial steel pipe is 6,000 ft. The discharge at point 4 is 200 ft above the pump exit, which is level with the free surface of oil in the tanker. However, because of an intervening hill, point 3 is at a higher altitude than point 4. Losses between points 1 and 2 may be ignored. The crude oil has the following properties: ρ = 53 lb_m/ft³; μ = 13.2 cP; vapor pressure p_v = 4.0 psia. **Specific to Example 3.2.** Implement the algorithm for a Case 1–type problem. If the pipeline is Schedule 40 with a nominal diameter of 6 in., and the required flow rate is 506 gpm, what pressure p₂ is needed at the pump exit? Solve the problem first by hand calculations, and then by a spreadsheet. ![Diagram of Oil Unloading System](example_image.png) **Fig. E3.2** Unloading tanker with intervening hill (vertical scale exaggerated). **Solution** The diagram consists of: 1. **Oil Tanker (Point 1):** The starting point of the oil flow, located at sea level. 2. **Pump (Point 2):** The pump moves the oil from the tanker into the pipeline. 3. **High Point (Point 3):** The pipeline reaches a height of 1,000 ft, passing over an intervening hill. 4. **Storage Tank (Point 4):** Located 200 ft above the pump exit and 5,000 ft away, this is the destination for the oil. The task is to calculate the required pressure at the pump exit (p₂) considering the elevation changes and flow rate demands.
Transcribed Image Text:**Example 3.2—Unloading Oil from a Tanker at a Specified Flow Rate and Diameter** **General.** The following statements apply to Examples 3.2, 3.3, 3.4, and 3.5. Fig. E3.2 shows a pump that transfers a steady stream of 35° API crude oil from an oil tanker to a refinery storage tank, both free surfaces being open to the atmosphere. The effective length— including fittings—of the commercial steel pipe is 6,000 ft. The discharge at point 4 is 200 ft above the pump exit, which is level with the free surface of oil in the tanker. However, because of an intervening hill, point 3 is at a higher altitude than point 4. Losses between points 1 and 2 may be ignored. The crude oil has the following properties: ρ = 53 lb_m/ft³; μ = 13.2 cP; vapor pressure p_v = 4.0 psia. **Specific to Example 3.2.** Implement the algorithm for a Case 1–type problem. If the pipeline is Schedule 40 with a nominal diameter of 6 in., and the required flow rate is 506 gpm, what pressure p₂ is needed at the pump exit? Solve the problem first by hand calculations, and then by a spreadsheet. ![Diagram of Oil Unloading System](example_image.png) **Fig. E3.2** Unloading tanker with intervening hill (vertical scale exaggerated). **Solution** The diagram consists of: 1. **Oil Tanker (Point 1):** The starting point of the oil flow, located at sea level. 2. **Pump (Point 2):** The pump moves the oil from the tanker into the pipeline. 3. **High Point (Point 3):** The pipeline reaches a height of 1,000 ft, passing over an intervening hill. 4. **Storage Tank (Point 4):** Located 200 ft above the pump exit and 5,000 ft away, this is the destination for the oil. The task is to calculate the required pressure at the pump exit (p₂) considering the elevation changes and flow rate demands.
The equation presented is: \[ z_3 - z_4 = 55.9 \text{ ft.} \] This is labeled as Equation (E3.5.7). Explanation: - The equation shows a difference between two variables, \( z_3 \) and \( z_4 \). - The result of the subtraction is 55.9 feet. - This might represent a vertical distance, such as an elevation difference between two points. - Equation (E3.5.7) suggests that this equation is part of a larger set, possibly related to a specific topic or example in a textbook or educational material.
Transcribed Image Text:The equation presented is: \[ z_3 - z_4 = 55.9 \text{ ft.} \] This is labeled as Equation (E3.5.7). Explanation: - The equation shows a difference between two variables, \( z_3 \) and \( z_4 \). - The result of the subtraction is 55.9 feet. - This might represent a vertical distance, such as an elevation difference between two points. - Equation (E3.5.7) suggests that this equation is part of a larger set, possibly related to a specific topic or example in a textbook or educational material.
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