When the CERO system operates using a set of repeated, concurrent operations, each having the specified water requirements described herein, it can achieve 100% recovery of the water that is in the input saline feedwater, as well as completely recover all the dissolved salt that is in the input saline feedwater as solid salt. Each cycle processes a fixed quantity of saline feedwater consisting of a
- water mass mo and
- dissolved-salt mass So mo
- where So is the Total Dissolved Solids (TDS) concentration in parts per million (ppm). The TDS value So is defined as the ratio of the dissolved salt mass to the water mass, and typically ranges from values between zero to one. The RO system recovers a fraction r of the water mass that is in the feedwater entering the RO unit as desalinated product water. The CERO system, using concurrent operations in each state X or Y, operates continuously by alternating between the two states, X and Y, in sequence:
- X, Y, X, Y, X, Y, . . . . The operations performed concurrently in each state, along with their respective water and salt mass requirements, are as follows:
- X State
- Initially, Tank A contains ion-reduced dilute water with a
- water
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- m
- o
-
- and
- dissolved
-
- -
- salt
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- S
- o
-
- m
- o
- ,
- all carried over from the previous State Y, while Tank B is empty,
- The valves are set so that the RO system draws water from Tank A and directs its RO ion-enriched water (wastewater) into Tank B,
- The valves are set so that Tank B is connected to both the dilute-water inlet and outlet ports of the ED system,
- Simultaneously, the RO and ED systems begin operating. Saline feedwater enters Tank A where it combines with the ion-reduced dilute water of the ED system produced on the previous cycle of operation and sends this combined saline water with
- mass
-
- {
- 1
- /
- r
- }
-
- m
- o
-
- of
-
- water
-
- and
- mass
-
- {
- 1
- /
- r
- }
-
- S
- o
-
- m
- o
-
- of
-
- dissolved
-
- salt
- ,
- through the RO system,
- The RO system produces nearly salt-free product desalinated water, and the RO ion-enriched water (wastewater) is directed into Tank B,
- the ED system transfers ions from the ion-enriched dilute water from Tank B to the concentrate water of the ED system,
- The slightly supersaturated concentrate water from the ED system circulates through the concentrate water tank, where a mass of
- mass of So mo
- of excess dissolved salt eventually precipitates onto the existing salt crystals and forms additional salt mass,
- State X concludes when all the following conditions have been met:
- When a
- water mass mo and
- dissolved salt mass So mo
- in the input saline feedwater with TDS So has entered Tank A, Tank A is now empty, and the RO system has produced a mass mo of desalinated product water, then the RO system operation stops,
- Tank B, which is connected to the ED system, has received the full RO ion-enriched water (wastewater) stream consisting of a
- water
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- m
- o
-
- and
- dissolved
-
- -
- salt
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- S
- o
-
- m
- o
- ,
- The ED system has removed a
- dissolved salt mass So mo
- from Tank B and transferred it to its concentrate water stream of the ED system, leaving Tank B with a remaining
- water
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- m
- o
-
- and
- dissolved
-
- -
- salt
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- S
- o
-
- m
- o
- ,
- at a TDS of So. This ion-reduced dilute water in Tank B is made available for the next State Y operation and the ED system stops.
- The RO system must stop before the ED system stops, but for the most part they are both operating at the same time.
- Y State
- Initially, Tank B contains ion-reduced dilute water with a
- water
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- m
- o
-
- and
- dissolved
-
- -
- salt
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- S
- o
-
- m
- o
- ,
- all carried over from the previous State X, while Tank A is empty,
- The valves are set so that the RO system draws water from Tank B and directs its RO ion-enriched water (wastewater) into Tank A,
- The valves are set so that Tank A is connected to both the dilute-water inlet and outlet ports of the ED system,
- Simultaneously, the RO and ED systems begin operating. Saline feedwater enters Tank B where it combines with the ion-reduced dilute water of the ED system produced on the previous cycle of operation and sends this combined water with
- mass
-
- {
- 1
- /
- r
- }
-
- m
- o
-
- of
-
- water
-
- and
- mass
-
- {
- 1
- /
- r
- }
-
- S
- o
-
- m
- o
-
- of
-
- dissolved
-
- salt
- ,
- through the RO system,
- The RO system produces nearly salt-free product desalinated water, and the RO ion-enriched water (wastewater) is directed into Tank A,
- the ED system transfers ions from the ion-enriched dilute water from Tank A to the concentrate water of the ED system,
- The slightly supersaturated concentrate water from the ED system circulates through the concentrate water tank, where a
- mass of So mo
- of excess dissolved salt eventually precipitates onto the existing salt crystals and forms additional salt mass,
- State Y concludes when all the following conditions have been met:
- When
- water mass mo and
- dissolved salt mass So mo
- in the input saline feedwater with TDS So has entered Tank B, Tank B is now empty, and the RO system has produced a mass mo of desalinated product water, then the RO system operation stops,
- Tank A, which is connected to the ED system, has received the full RO ion-enriched water (wastewater) stream consisting of a
- water
-
- mass
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- m
- o
-
- and
- dissolved
- -
- salt
-
- mass
-
- of
-
- {
- 1
- /
- r
- }
-
- S
- o
-
- m
- o
- ,
- The ED system has removed a dissolved salt
- mass So mo
- from Tank A and transferred it to its concentrate water stream of the ED system, leaving Tank A with a remaining
- water
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- m
- o
-
- and
- dissolved
- -
- salt
-
- mass
-
- of
-
- {
- (
- 1
- -
- r
- )
- /
- r
- }
-
- S
- o
-
- m
- o
- at a TDS of So. This ion-reduced dilute water in Tank A is made available for the next State X operation and the ED system stops.
- The RO system must stop before the ED system stops, but for the most part they are both operating at the same time.