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Reverse Osmosis Principles

Reverse osmosis is a demineralization process that relies on a semipermeable membrane to effect the separation of dissolved solids from a liquid. The semipermeable membrane allows liquid and some ions to pass, but retains the bulk of the dissolved solids. Although many liquids (solvents) may be used, the primary application of RO is water-based systems. Hence, all subsequent discussion and examples will be based on the use of water as the liquid solvent.

To understand how RO works, it is first necessary to understand the natural process of osmosis. This chapter covers the fundamentals of osmosis and reverse osmosis.

2.1 Osmosis

Osmosis is a natural process where water flows through a semipermeable membrane from a solution with a low concentration of dissolved solids to a solution with a high concentration of dissolved solids.

Picture a cell divided into 2 compartments by a semipermeable membrane, as shown in Figure 2.1. This membrane allows water and some ions to pass through it, but is impermeable to most dissolved solids. One compartment in the cell has a solution with a high concentration of dissolved solids while the other compartment has

a solution with a low concentration of dissolved solids. Osmosis is the natural process where water will flow from the compartment with the low concentration of dissolved solids to the compartment with the high concentration of dissolved solids. Water will continue to flow through the membrane until the concentration is equalized on both sides of the membrane.

At equilibrium, the concentration of dissolved solids is the same in both compartments (Figure 2.2); there is no more net flow from one compartment to the other. However, the compartment that once contained the higher concentration solution now has a higher water level than the other compartment.

The difference in height between the 2 compartments corresponds to the osmotic pressure of the solution that is now at equilibrium.

Reverse Osmosis Principle

Figure 2.1 Cell divided into 2 compartments separated by a semipermeable membrane. Water moves by osmosis from the low-concentration solution in one compartment through the semipermeable membrane into the high-concentration solution in the other compartment.

reverse osmosis principle 1

 

 

 

Figure 2.2 Concentration equilibrium. Difference in height corresponds to osmotic pressure of the solution.

Osmotic pressure (typically represented by n (pi)) is a function of the concentration of dissolved solids. It ranges from 0.6 to 1.1 psi for every 100 pprn total dissolved solids (TDS). For example, brackish water at 1,500 ppm TDS would have an osmotic pressure of about 15 psi. Seawater, at 35,000 pprn TDS, would have an osmotic pressure

of about 350 psi.

2.2 Reverse Osmosis

Reverse osmosis is the process by which an applied pressure, greater than the osmotic pressure, is exerted on the compartment that

reverse osmosis principle 2

 

Figure 2.3 Reverse osmosis is the process by which an applied pressure, greater than the osmotic pressure, is exerted on the compartment that once contained the high-concentration solution, forcing water to move through the semipermeable membrane in the reverse direction of osmosis.

once contained the high-concentration solution (Figure 2.3). This pressure forces water to pass through the membrane in the direction reverse to that of osmosis. Water now moves from the compartment with the high-concentration solution to that with the low concentration solution. In this manner, relatively pure water passes

through membrane into the one compartment while dissolved solids are retained in the other compartment. Hence, the water in the one compartment is purified or ”demineralized,” and the solids in the other compartment are concentrated or dewatered.

Due to the added resistance of the membrane, the applied pressures required to achieve reverse osmosis are significantly higher than the osmotic pressure. For example, for 1,500 ppm TDS brackish water, RO operating pressures can range from about 150 psi to 400 psi. For seawater at 35,000 ppm TDS, RO operating pressures as

high as 1,500 psi may be required.

2.3 Dead-End Filtration

The type of filtration illustrated in Figures 2.1,2.2, and 2.3 is called ”dead end” (”end flow” or “direct flow”) filtration. Dead end filtration involves all of the feed water passing through the membrane, leaving the solids behind on the membrane.

Consider a common coffee filter as shown in Figure 2.4. Feed water mixes with the coffee grounds on one side of the filter. The water then

Dead end Filtration

 

 

Figure 2.4  Dead-end filtration is a batch process that produces one effluent stream given one influent stream.

passes through the filter to become coffee that is largely free of coffee grounds. Virtually all of the feed water passes through the filter to become coffee. One influent stream, in this case water, produces, only one effluent stream, in this case coffee. This is dead end filtration.

Dead end filtration is a batch process. That means that the filter will accumulate and eventually blind off with particulates such that water can no longer pass through. The filtration system will need to be taken off line and the filter will need to be either cleaned or replaced.

2.4 Cross-Flow Filtration

In cross-flow filtration, feed water passes tangentially over the membrane surface rather than perpendicularly to it. Water and some dissolved solids pass through the membrane while the majority of dissolved solids and some water do not pass through the membrane. Hence, cross-flow filtration has one influent stream but yields two effluent streams. This is shown is Figure 2.5.

Cross Flow Filtration

 

Figure 2.5  Cross-flow filtration is a continuous process that produces two effluent streams given one influent stream.

Cross-flow helps to minimize fouling or scaling of the RO membrane. In an effort to keep the membrane surface free of solids that may accumulate and foul or scale the membrane, tangential flow across the membrane surface aids in keeping the surface clean by scouring the surface; minimum flow rates across the membrane surface are required to effectively scour the surface.

In theory, cross-flow is a continuous operation, as the scouring process keeps the membrane surface free of foulants. In practice, however, the scouring action of cross flow is not always enough to prevent all fouling and scaling. Periodically, the membranes will need to be taken off line and cleaned free of material that has accumulated at the surface.

Figure 2.6 is a simplified block diagram showing how cross-flow RO actually works. The diagonal line inside the rectangle represents the membrane. This diagram shows how the influent stream, with an applied pressure greater than the osmotic pressure of the solution, is separated into two effluent streams. The solution that passes through the membrane is called the permeate or product, and the solution retained by the membrane is called the concentrate, reject, waste, brine, or retentate. The flow control valve on the concentrate stream provides the back-pressure needed to cause reverse osmosis to occur. Closing the valve will result in an overall increase in pressure

driving force, and a corresponding increase of influent water that passes through the membrane to become permeate.

Reverse Osmosis Principles 4

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