# Identify the main governing equations including major and minor losses and show how these can be combine to represent and energy equation for steady incompressible flow for this system.

Final terminal assignment #1 Technical Report on given pumping system Assignment 1 [TOTAL MARKS: 60] Conduct an engineering assessment based on the pumping system outlined here under. This assessment must be typed using appropriate fonts, typesetting (including equations), imagery, tables and graphs developed in excel. The final document must be submitted in Portable File Format (pdf) only and the Excel worksheets/workbook must also be uploaded to the links provided.

Part 1 – Identification, Formulation and Solution [25 marks] In an industrial application, water located in a sump is transfer to an open top reservoir at a higher elevation by a pump handling system as illustrated in the diagram.

The temperature of the fluid is maintained at 25 °C and it enters a centrifugal pump operating at a nominal speed of 1750 rpm through a 90°bend after being drawn from the sump through a hinged disk foot valve along 4 m of suction pipe.

This fluid is then transferred along a 575 m of piping and passes through two standard 90° elbows, an angle lift check valve and a fully open globe valve. All piping in the system is 12 cm diameter steel and the design flow rate of the system is 1000 L per minute.

Figure 1 – Pump Handling System)

Adapting a best practice approach, identify the key assumptions that can be applied to this problem. (2 marks)

(b)Identify the main governing equations including major and minor losses and show how these can be combine to represent and energy equation for steady incompressible flow for this system. (3 marks)

(c)Develop an expression to represent the Pressure at the Pump (3 marks)

(d)Develop an expression to represent the required Head at the Pump (3 marks)

(e)Determine the total pressure at the eye of the impeller and the required head at the Pump for this system (8 marks)

(f)Calculate the NPSHA. (2 marks)

(g)Select a pump which would be suitable for this piping system and provide a justification (4 marks)

Page of 49Table

1: Representative Dimensionless Equivalent Lengths for Values and FittingsFitting TypeValves (Fully Open)Gate Valve8Globe Valve340Angle Valve150Ball Valve3Lift Check Valve: Globe Lift600Lift Check Valve: Angle Lift55Foot Valve with Strainer: Poppet Disk420Foot Valve with Strainer: Hinged Disk74Standard Elbow: 90º30Standard Elbow: 45º16Return bend, close pattern50Standard Tee: Flow Through Run20Standard Tee: Flow Through Branch60Equivalent Length, LeD

Part 2 – Excel Worksheet – Pump Head [12 marks]Generate a worksheet in Microsoft Excel that calculates the Pump head for volumetric flow rates between 0 and 2000 L/min. This worksheet must be fully functioning and update automatically as changes are made to any of the given values. Part 3 – Excel Worksheet: Investigate the impact that ageing of pipes will have on the system flow [12 marks]As pipes age, deposits form on the inner walls increasing the roughness and reducing of the internal diameter. This leads to increased resistance and consequently impacts the friction factor.

To account for this, multipliers can be applied to the friction factor as indicated in table 3. Page of 59Table 2: Roughness for pipes of common Engineering MaterialsPipeRoughness, ε (mm)Riveted steel0.9 – 9Concrete0.3 – 3Wood Stave0.2 – 0.9Cast Iron0.26Glavanised Iron0.15Asphalted Cast Iron0.12Commercial Steel or Wrought Iron0.046Dran Tubing0.0015