My last column (Pumps & Systems, April 2014) explained why resistance in implementing pump system improvement programs often occurs. Because pump systems touch many disciplines and departments within an operating plant, it is difficult for everyone involved to clearly understand how a piping system operates.
In this month’s column, a piping system will be discussed, including the individual items and how they work together as a total system. It will explain the system’s operation so that everyone in the plant can visualize its function.
Figure 1 shows a demineralized water supply system consisting of a pump, two tanks, a water treatment unit, pipelines and a control valve. The elements can be grouped into three general categories based on how the energy is used in the piping system.
The pump element is the only component that adds hydraulic energy to the fluid in the system. The process elements consist of the equipment required to create the product or provide the service. Hydraulic energy is consumed when the fluid passes through the process element to make demineralized water. The control valve regulates the flow rate through the system to improve the product quality and system efficiency.
The system is designed to produce 600 gallons per minute (gpm) of demineralized water for use throughout the plant. Figure 1 shows the elevations, levels and pressures in the raw water and demineralized water tanks. The distribution piping to provide demineralized water to plant loads is not shown because tanks and vessels make excellent locations to divide complex systems into more easily understandable “subsystems.” The distribution system can be assessed separately. To understand how the system operates, each element needs to be evaluated, starting with the pump.
The pump adds hydraulic energy to the piping system. The Pump Curve for the raw water pump (see Figure 2) shows the pump head, efficiency and power consumption for its range of operation. A pump must always operate on its curve. Looking at the Pump Curve at a flow rate of 600 gpm, the pump produces 209 feet of head. For this pump to achieve the flow rate of 600 gpm, the 209 feet of head produced by the raw water pump must be accounted for in the process and control elements in the system.
The tanks provide a recognized system boundary and an easily determined value for the hydraulic energy that remains fairly constant during operation. The locations, elevations and pressure of the tanks are determined by the needs of the process along with the space constraints of the plant.
In Figure 1, a 102-foot elevation difference between the liquid level in the raw water and demineralized water tanks exists. This difference in elevation must be overcome by the pump and is referred to as the elevation head.
In addition, a 10 psi difference in pressure between the raw water and demineralized water tanks must be overcome. Converting the pressure value for feet of fluid results in an additional 23 feet required by the pump. This pressure difference between the tanks is referred to as pressure head.
The difference in elevation and pressure must be overcome regardless of the flow rate through the system. As a result, the elevation head and pressure head values are combined and referenced as static head. The resulting static head for this system is 102 feet + 23 feet or 125 feet of fluid.
The losses in the pipelines are caused by the friction between the moving fluid and the stationary pipelines. The pipeline head loss can be calculated using the Darcy equation, with examples found in any fluid textbook. In this system, the head loss because of pipe friction is 2.6 feet of fluid when 600 gpm of water flows through the system.
The final process element in this example is the water treatment unit. According to the manufacturer, a pressure drop of 5.6 psi, or a head loss of 12.9 feet, occurs with a flow rate of 600 gpm.
Adding the static head, the dynamic losses of the pipeline with a 600 gpm flow rate and water treatment unit, the energy consumed by the system is:
h = 125 ft + 2.6 ft + 12.9 ft = 140.5 ft
The control element regulates the flow into the demineralized water tank to maintain a constant tank level. Because 600 gpm is the plant’s demineralized water demand, it is also the average flow rate through the control. A flow rate of less than 600 gpm causes the tank level to decrease, resulting in insufficient flow to the other plant loads. A flow rate greater than 600 gpm causes the tank to overflow, resulting in a waste of demineralized water.
As previously mentioned, the pumps provide all the fluid energy to the system. The process elements consume energy as fluid passes through the system to make the product or provide the service. The control elements consume energy to regulate the flow of fluid through the system required to optimize the process.
Based on the energy usage, the following expression can be assumed:
hpump = hProcessElements + hControlElements
Rearranging the formula above, the head loss associated with the control element required to limit the flow rate through the system to 600 gpm is: