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Theory, Design, and Application of Gravity Powered Flow Control Modules
Author: Monroe Weber-Shirk mw24@cornell.edu
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Development of robust sustainable drinking water treatment technologies requires improved methods of metering aqueous chemical solutions. Existing technologies either required contact with the chemical solution when adjusting the flow rate or they didn't provide a calibrated method for setting the flow tot the target value. The AguaClara team at Cornell University developed a low cost flow control module based on laminar pipe flow. The flow control module features a variable calibrated flow. The range of design flow rates is a function of the viscosity of the solution. For dilute solutions with viscosities similar to pure water the flow control modules can be designed in the range of 10 to 500 mL/min. The flow control module has been field tested for metering chlorine and aluminum sulfate for AguaClara water treatment plants in Honduras.
Keywords: Flow Control Module, Laminar, Variable, Calibrated, AguaClara
Unknown macro: {toggle-cloak} IntroductionandObjectives">Unknown macro: {toggle-cloak} Introduction and Objectives
The lack of robust and sustainable technologies for chemical dosing and flow control that don't require electrical power continues to adversely affect the ability to reliably provide safe drinking water. Conventional municipal surface water treatment requires the addition of a coagulant solution as well as the addition chlorine. Water treatment plants in industrialized nations often use variable speed peristaltic pumps or other positive displacement pumps for this purpose. Many potential water treatment plant sites in the Global South don't have ready access to electricity and frequently the electrical grid is unreliable. The AguaClara team at Cornell University recognized the need for an improved gravity powered flow control device and began evaluating the available technologies and ultimately developed and tested an improved flow control module.
Ideally the flow control device would have the following characteristics:
- calibrated to easily vary the flow rate
- handle corrosive chemicals
- incorporate a linear scale to facilitate setting the flow without need to use trial and error
- be resistant to clogging
- be easy to maintain and operate
- be easily adapted for a range of flow rates
- be economical, small, and easily used to replace existing flow control devices
[!FCM theory^Hypochlorinator.jpg|width=600px!|FCM theory^Hypochlorinator.jpg]
Hypochlorinator design as implemented in hundreds of communities in Honduras. Frequently the float components are not included.
The AguaClara team first recognized the need for an improved flow control module during site visits of community water supply systems in Honduras in 2004. The standard Honduran design for community water supply systems consists of a surface water source that is piped to a distribution tank and then distributed via a pipe network to homes. The only water treatment is the addition of hypochlorite. Most communities use granular calcium hypochlorite to prepare a concentrated chlorine solution in a small tank that is located on top of the distribution tank. The original design of the hypochlorinators called for a floating frame that held a flexible tube with a submerged orifice. This system theoretically provided a constant flow through the submerged orifice. The orifice flow is set by the size of the orifice and the distance between the water (or chlorine) surface and the center of the orifice.[Unable to find DVI conversion log file.][]
|Orifice flowrate">
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where the orifice coefficient, K~orifice~ has a value of approximately 0.6. In practice the orifices clog quickly due to the precipitation of calcium carbonate, the flow rate adjustment is by trial and error, and maintenance and operation required contact with the concentrated chlorine solution. Perhaps due to these difficulties the design evolved and a 1/2" PVC valve was installed on the exit pipe at the bottom of the chlorine tank, the floating orifice was removed, and the flow is now adjusted by a trial and error setting of the valve position. This modification created a system that was easier to maintain, but the valve was still subject to frequent clogging and the hydraulic design no longer provided a constant flow. The flow decreases as the reservoir drains. If the operator sets the valve to deliver a flow rate such that the reservoir would drain in 4 days, then the flow rate will decrease significantly over the course of the 4 days and by the end of the design period the theoretical flow is given by [Unable to find DVI conversion log file.][]
|Hypochlorinator Q vs t">
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where h~res~ is the initial depth of chemical solution in the reservoir, h~0~ is the vertical distance between the initial free surface and the orifice (the valve), t~design~ is the duration that the chemical supply was supposed to last, and Q~0~ is the initial flow rate from the valve. Thus if the valve is located at almost the same elevation as the bottom of the reservoir, then when t = t~design~ the flow will be approximately one half of the design flow. If the operator allows the entire tank to drain without adjusting the flow rate there will be an even larger flow variation. The large fluctuation in chlorine flow rate increases the difficulty of maintaining an appropriate chlorine residual.
[!FCM theory^floating bowl.jpg|width=600px!|FCM theory^floating bowl.jpg]
Floating bowl constant flow device..
Another design for a constant flow device is called a floating bowl [#Brikké and Bredero, 2003]. It is conceptually similar to the design used in Honduras, but the flow is adjusted by varying the submergence of the bowl instead of by sliding the tube with the orfice relative to the floating frame. The submergence is varied by adding or removing pepples from the bowl. The floating bowl also requires reaching into the chemical solution to adjust the pepples. Adjustments to the flow rate can be calibrated to eliminate the need for trial and error. Both the floating bowl and the floating frame have to be installed inside each chemical tank that is used for chemical dosing.
Unknown macro: {toggle-cloak} Theory">Unknown macro: {toggle-cloak} Theory
Maintaining a constant flow of chemical is difficult because of the fluctuations in the level of the chemical in the stock tank. The variable head means that any restrictions used to regulate the flow will cause a decreasing flow rate as the tank empties. One simple solution to this problem would be to use an elevated tank with a large head driving the fluid through the flow restriction. Then the small variation in the driving head as the tank emptied would not be as significant. The disadvantages of this approach are the construction and operation difficulties of the elevated tank and the clogging of the flow restriction. Thus we need a solution that isolates the flow restriction from the variable head of the stock tank and we need a flow restriction that is as large as possible to minimize clogging.
Creation of a constant flow requires a constant driving force and a constant pressure coefficient or loss coefficient. Recent advances in small low cost chemical resistant float valves have made it possible to use float valves even with corrosive chlorine solutions. The float valve can be used to maintain a constant liquid level in a small tank. The constant liquid level can then be used to develop a constant flow by maintaining a constant pressure or loss coefficient.
There are many methods of creating a constant loss coefficient including flow through a valve, porous media, a long tube, or an orifice. Selection of an appropriate mechanism for producing the loss coefficient can be based on the desired characteristics of the flow control device. To reduce the risk of clogging the flow passage diameter should be as large as possible.
orifice diameter equation
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Tube diameter equation
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The maximum flow that can be sent through a tube while maintaining laminar flow is based on eliminating diameter from the Hagen-Poiseuille equation by using the maximum Reynolds number constraint.
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[!FCM theory^Tube vs Orifice Diameter.JPG|width=353px!|FCM theory^Tube vs Orifice Diameter.JPG]
Tube vs Orifice Diameter
Laminar flow constraint
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|Minimum Diameter for Laminar Flow">
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Head loss constraint
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|D Hagen-Poiseuille">
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The minimum theoretical diameter that could be used is the maximum of the previous two equations.
The design diameter of the tubing is obtained by selecting the minimum diameter of available tubing that is larger than the minimum theoretical diameter.
Minimum diameter of tubing to produce the desired head loss at the maximum flow using the minimum feasible length of tubing. Based on the Hagen-Poiseuille equation.
Unknown macro: {toggle-cloak} Application">Unknown macro: {toggle-cloak} Application
flow control module design webpage
[!FCM theory^FCM schematic.jpg|width=578px!|FCM theory^FCM schematic.jpg]
FCM schematic.
Flow control modules will generate a linear response between head loss and chemical flow rate as long as expansion losses are small relative to shear losses and as long as the flow is laminar.
Design of the flow control module consists of choosing a maximum head loss corresponding to the maximum design flow rate, and then determining the diameter and length of the tubing.
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* François Brikké and Maarten Bredero © World Health Organization and IRC Water and Sanitation Centre, 2003 Linking technology choice with operation and maintenance in the context of community water supply and sanitation: A reference document for planners and project staff Chapter 6 Water Treatment.