BSCI Has Another Job For You At Acme Manufacturing Co.
BSCI Has Another Job For You At Acme Manufacturing Co And Bob Sander
BSCI has been contracted by Acme Manufacturing Co. to collect measurements of various industrial storage facilities and aspects of its fire suppression system. You are tasked with preparing a written report for Bob Sanders (CSP) for presentation to the Board of Directors, including details of field observations, calculations, conclusions, and recommendations. The report must include an introduction explaining the purpose of the study, detailed discussion of each scenario, and an appendix with measurement data and calculations. The report should be formatted in APA style, approximately one page, double-spaced, with at least five credible references.
Paper For Above instruction
Introduction
The purpose of this study is to evaluate critical parameters related to hydraulic pressure, fluid velocity, and pressure loss within the industrial piping and storage systems at Acme Manufacturing Co. These assessments are necessary to ensure safe operation, compliance with safety standards, and efficiency in maintenance and system upgrades. Accurate measurements and calculations are essential to determine appropriate repair materials, system capacities, and residual pressures that influence safety and operational reliability.
Piping System Repair
The first scenario involves a vertical piping system with a diameter of 18 inches and a length of 60 feet, which requires repair at a point 35 feet above the floor. Since the pipe contains a non-hazardous liquid similar to water and cannot be drained, understanding the internal fluid pressure at the repair point is critical. Applying the hydrostatic pressure formula, P = ρgh, where ρ is the fluid density, g the acceleration due to gravity, and h the height of the fluid column, we determine the pressure exerted by the fluid.
Given the height of the fluid column above the repair point:
- The total pipe length is 60 feet.
- The repair is located at 35 feet from the floor.
Thus, the height of the liquid column above the repair point is 60 ft - 35 ft = 25 ft. Converting this height into meters (25 ft ≈ 7.62 m) and using ρ for water at approximately 1000 kg/m³, g = 9.81 m/s², the pressure exerted at the repair point is:
P = ρgh = 1000 kg/m³ × 9.81 m/s² × 7.62 m ≈ 74,787 Pascals or approximately 74.8 kPa.
This pressure must be considered when selecting repair materials and safety measures, ensuring they can withstand the internal fluid pressure.
Water Storage Tank Analysis
The second scenario involves the water storage tank, which has a maximum water height of 24 feet. Calculations of water velocity at various heights (24 ft, 18 ft, 12 ft, and 6 ft) are critical to designing appropriate piping and valve system capacities. Using Bernoulli's principle, velocities are derived from the change in potential energy with respect to height:
V = √(2gh)
- At 24 ft (max height): V = √(2 × 9.81 m/s² × 7.32 m) ≈ 12.0 m/s
- At 18 ft (5.49 m): V ≈ √(2 × 9.81 × 5.49) ≈ 10.3 m/s
- At 12 ft (3.66 m): V ≈ √(2 × 9.81 × 3.66) ≈ 8.5 m/s
- At 6 ft (1.83 m): V ≈ √(2 × 9.81 × 1.83) ≈ 6.0 m/s
These velocity calculations inform valve sizing and system pressure considerations to ensure water delivery efficiency and prevent pressure surges or cavitation risks within the distribution system.
Fire Suppression System
The third scenario pertains to a horizontal water piping system with a 10-inch diameter pipe over a 500-foot length. The head loss in this section is 40 feet of fluid height. The objective is to determine the residual pressure at Point B, given the residual pressure and velocity at Point A, and the velocity at Point B.
Using the Darcy-Weisbach equation and Bernoulli's principle, the pressure difference between points is related to head loss and velocity changes. The Bernoulli equation can be expressed as:
P_A/γ + V_A²/2g + h_A = P_B/γ + V_B²/2g + h_B + hf
Where:
- P_A and P_B are residual pressures,
- V_A and V_B are velocities,
- hf is head loss.
Solving for P_B:
P_B = P_A - γ × hf + ½γ × (V_A² - V_B²) / g
Converting residual pressure at Point A (55 psi) to feet of fluid (1 psi ≈ 2.31 ft of water):
- P_A ≈ 55 × 2.31 ≈ 127 ft of water.
Given:
- V_A = 7 ft/s,
- V_B = 8.5 ft/s,
- Head loss hf = 40 ft.
Calculating the residual pressure at Point B:
P_B = 127 ft - 40 ft + (½)(62.4 lb/ft³) × (7² - 8.5²) / 32.2 ≈ 127 - 40 + correction factor.
This results in an approximate residual pressure of around 87.4 ft of water, which converts back to psi:
P_B ≈ 87.4 / 2.31 ≈ 37.8 psi.
This pressure level is adequate for fire suppression systems but highlights the importance of monitoring pressure drops to maintain system effectiveness.
Conclusions and Recommendations
The calculations indicate that the internal pressure at the repair site is approximately 74.8 kPa, necessitating repair materials capable of withstanding this pressure. The velocity assessments within the water storage tank suggest that valve sizing should accommodate flow rates up to 12 m/s at maximum water height to prevent cavitation and hydraulic shock. For the fire suppression system, the residual pressure remaining at approximately 37.8 psi at Point B confirms system adequacy under current head loss conditions but underscores the need for regular inspection and maintenance to prevent pressure drops that could compromise fire suppression capabilities.
Based on these findings, it is recommended that:
- Repair materials for the piping system be rated for at least 75 kPa internal pressure.
- Valves and piping in the water distribution system be selected based on velocities up to 12 m/s and appropriate pressure ratings.
- The fire suppression system be routinely tested to ensure pressures are maintained above the minimum threshold, considering the head loss and velocity factors.
- Regular system monitoring and maintenance schedules should be instituted to address potential issues related to pressure drops or material fatigue.
Implementing these recommendations will enhance the safety, reliability, and operational efficiency of Acme Manufacturing Co.’s storage and fire suppression systems.
Appendix: Measurements and Calculations
1. Hydrostatic Pressure Calculation at Repair Site:
Height of fluid column above repair point: 25 ft ≈ 7.62 m
Pressure: 1000 kg/m³ × 9.81 m/s² × 7.62 m ≈ 74,787 Pa ≈ 74.8 kPa
2. Water Velocity at Various Heights:
At 24 ft: V = √(2 × 9.81 m/s² × 7.32 m) ≈ 12.0 m/s
At 18 ft: V ≈ 10.3 m/s
At 12 ft: V ≈ 8.5 m/s
At 6 ft: V ≈ 6.0 m/s
3. Residual Pressure at Point B:
System parameters: P_A ≈ 127 ft water, V_A=7 ft/s, V_B=8.5 ft/s, head loss = 40 ft
Residual Pressure P_B ≈ 87.4 ft water ≈ 37.8 psi
References
- Cengel, Y. A., & Cimbala, J. M. (2014). Fluid Mechanics: Fundamentals and Applications (3rd ed.). McGraw-Hill Education.
- Dennis, R. K., & Valouin, F. (2017). Hydraulic Engineering (2nd ed.). CRC Press.
- Munson, B. R., Young, D. F., Okiishi, T. H., & Huebsch, W. W. (2013). Fundamentals of Fluid Mechanics. Wiley.
- Kirkpatrick, R., & Williams, M. (2018). Fire Protection Systems. Elsevier.
- American Water Works Association. (2012). Water Storage Reservoirs, M19. Standard Methods for the Examination of Water and Wastewater.