An Innovative Design of an Integrated MED-TVC and Reverse Osmosis System for Seawater Desalination: Process Explanation and Performance Evaluation
Abstract
1. Introduction
2. Description of Novel Designs of Integrated Systems of MED_TVC and Double RO Processes of PPRO and RRRO
3. Mathematical Model of Integrated MED_TVC and Double RO System
4. Performance Assessment of Integrated MED_TVC and Double RO System
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclature
| Membrane area (m2) | |
| Water transport parameter at feed temperature of RO process (m/s atm) | |
| Exchange area of i-th evaporator of MED process (m2) | |
| Exchange area of i-th pre-heater of MED process (m2) | |
| Exchange area of final condenser of MED process (m2) | |
| Mean exchange area of evaporators of MED process (m2) | |
| Mean exchange area of pre-heaters of MED process (m2) | |
| Bi | Rejected brine of the i-th effect (kg/s) |
| Solute transport parameter at feed temperature of RO process (m/s) | |
| Bulk concentration of a single membrane of RO process (kg/m3) | |
| Feed concentration of a single membrane of RO process (kg/m3) | |
| Plant feed concentration (kg/m3) | |
| Permeate concentration at the permeate channel of a single membrane of RO process (kg/m3) | |
| Brine concentration of a single membrane of RO process (kg/m3) | |
| Wall membrane concentration of a single membrane of RO process (kg/m3) | |
| CR | Compression ratio in the steam ejector of MED process (-) |
| Total distillate produced in i-th effect of MED process (kg/s) | |
| Diffusivity parameter (m2/s) | |
| Hydraulic diameter of the feed spacer channel of a membrane of RO process (m) | |
| Distillate produced by boiling in i-th evaporator of MED process (kg/s) | |
| Distillate produced by flashing in i-th flashing box of MED process (kg/s) | |
| Specific energy consumption of MED process (kJ/kg) | |
| Specific energy consumption of RO process (kWh/m3) | |
| Energy recovery device (-) | |
| Water flux through a single membrane of RO process (m/s) | |
| Mass transfer coefficient (m/s) | |
| Constant (-) | |
| Length of membrane of RO process (m) | |
| Length of filament in the spacer mesh of RO process (m) | |
| Coefficient | |
| Mb | Rejected brine flowrate of MED process (kg/s) |
| MCOND | Flowrate of steam in the final condenser of MED process (kg/s) |
| Md | Distillate from MED process (kg/s) |
| Mf | Water intake in the first effect of MED process (kg/s) |
| Mm | Motive steam flowrate of MED process (kg/s) |
| Ms | Total steam flow rate of MED process (kg/s) |
| Mw | Intake water flow rate of MED process (kg/s) |
| MTVC | Vapour flowrate entrained in TVC section of MED process (kg/s) |
| n | Number of effects of MED process (-) |
| Pcrit | Critical pressure of water (kPa) |
| Pev | Pressure of saturated entrained vapour of MED process (kPa) |
| Feed pressure of a single membrane of RO process (atm) | |
| Plant feed pressure of RO process (atm) | |
| PFC | Pressure Correction Factor of RO process (-) |
| Pm | Pressure of saturated steam at temperature Tm of MED process (kPa) |
| Permeate pressure at the permeate channel of RO process (atm) | |
| Retenate pressure of a single membrane of RO process (atm) | |
| Plant retenate pressure of RO process (atm) | |
| Retentate pressure of any block of RO process (atm) | |
| Ps | Pressure of saturated steam at temperature Ts of MED process (kPa) |
| Pv | Pressure of saturated steam at temperature Tv of MED process (kPa) |
| Bulk flow rate of a single membrane of RO process (m3/s) | |
| Feed flow rate of a single membrane of RO process (m3/s) | |
| Plant feed flow rate of RO process (m3/s) | |
| Feed flow rate of any block of RO process (m3/s) | |
| Total permeate flow rate of a single membrane of RO process (m3/s) | |
| Plant permeate flow rate of RO process (m3/s) | |
| Permeate flow rate of single pressure vessel of RO process (m3/s) | |
| Retentate flow rate of a single membrane of RO process (m3/s) | |
| Plant retentate flow rate of RO process (m3/s) | |
| Solute flux through the membrane of RO process (kg/m2 s) | |
| QCOND | Thermal load in final condenser of MED process (kW) |
| Qsensible | Sensible heat used in first effect of MED process (kJ/kg) |
| Qlatent | Latent heat used in first effect of MED process (kJ/kg) |
| Qi | Thermal load at i-th evaporator of MED process (kW) |
| Qs | Thermal load of steam of MED process (kW) |
| Ra | Entrainment ratio of MED process (-) |
| Reynolds number (-) | |
| Recovery rate of a single membrane of RO process (-) | |
| Total plant water recovery rate of RO process (-) | |
| Solute rejection of a single membrane of RO process (-) | |
| Total plant solute rejection of RO process (-) | |
| Schmidt number (-) | |
| Feed temperature after i-th pre-heater of MED process (°C) | |
| Height of feed channel of the membrane of RO process (m) | |
| tn | Feed temperature after final condenser of MED process (°C) |
| T1 | Top brine temperature (Ttop) of MED process (°C) |
| Tb | Temperature of rejected brine of MED process (°C) |
| Height of feed channel of the membrane of RO process (m) | |
| Plant operating temperature of RO process (°C) | |
| Retentate plant temperature of RO process (°C) | |
| Ts | Steam temperature of MED process (°C) |
| Tvi | Temperature of the vapour phase in i-th effect of MED process (°C) |
| Tw | Temperature of the cooling water of MED process (°C) |
| Tmean | Mean temperature in the plant (°C) |
| Tcrit | Critical temperature of water (°C) |
| TCF | Temperature Correction Factor of RO process (-) |
| Uev,i | Global heat exchange coefficient in i-th evaporator of MED process (kW/m2 °C) |
| Uph,i | Global heat exchange coefficient in i-th pre-heater of MED process (kW/m2 °C) |
| Ucond | Global heat exchange coefficient in final condenser of MED process (kW/m2 °C) |
| Cross flow velocity of a single membrane of RO process (m/s) | |
| Membrane width of RO process (m) | |
| xi | Salinity in i-th evaporator of MED process (ppm or w/w%) |
| xb | Salinity in rejected brine of MED process (ppm or w/w%) |
| xf | Salinity in the feed of MED process (ppm or w/w%) |
| xmean | Mean salinity in the plant (ppm or w/w%)1 |
Greek
| α | Fraction of rejected brine from previous effect flashed in the associated pre-heater of MED process (-) |
| β | Fraction of total distillate boiled in each evaporator of MED process (-) |
| Percentage error on evaporators’ areas of MED process (%) | |
| Percentage error on pre-heaters areas of MED process (%) | |
| Driving force for heat exchange in i-th evaporator of MED process (°C) | |
| Driving force for heat exchange in i-th pre-heater of MED process (°C) | |
| Driving force for heat exchange in final condenser of MED process (°C) | |
| Temperature drop between two evaporators of MED process (°C) | |
| Temperature increase between two pre-heaters of MED process (°C) | |
| Total pressure drop along the membrane element of RO process (atm) | |
| Latent heat of evaporation of MED process (kJ/kg) | |
| Total osmotic pressure at the permeate channel of RO process (atm) | |
| Total osmotic pressure at the membrane surface of RO process (atm) | |
| Density parameter (kg/m3) | |
| Kinematic viscosity (kg/m s) | |
| Membrane porosity (-) | |
| Pump efficiency (-) | |
| Efficiency of energy recovery device of RO process (-) |
Appendix A
| Description | Equation | Unit |
|---|---|---|
| Feed flowrate | kg/s | |
| Sensible heat in the 1st stage | kJ/s | |
| Latent heat existed in the 1st stage | kJ/s | |
| Temperature droplet along each stage | °C | |
| Temperature droplet along preheaters | °C | |
| Inlet temperature of the 1st effect | °C | |
| Temperature of vapour phase | °C | |
| Flowrate of flashed freshwater | kg/s | |
| Portion of freshwater by flashing | - | |
| Mean temperature | °C | |
| Mean salinity | ppm | |
| Portion of freshwater by evaporation | - | |
| Flowrate of evaporated freshwater | kg/s | |
| Total distilled water | kg/s | |
| Disposed brine flowrate | kg/s | |
| Salinity of each stage | ppm | |
| Estimated area of each stage | m2 | |
| Heat load in each stage | kJ/s | |
| Temperature droplet in heat exchangers | °C | |
| Area of each preheater | m2 | |
| Logarithmic temperature variance in preheater | °C | |
| Area of the final condenser | m2 | |
| Conductivity heat in the final condenser | ) | kJ/s |
| Logarithmic temperature variance in final condenser | °C |
| Description | Equation | Unit | |
|---|---|---|---|
| Freshwater Flux | m3/s | ||
| Solute flux | m3/s | ||
| Osmotic pressure in high-concentration and permeate sides | , | atm | |
| Effect of temperature on water transport coefficient | , | - | |
| Effect of temperature on solute transport coefficient | , | - | |
| Pressure droplet for each membrane and Reynolds number | . | atm, - | |
| lk flowrate and concentration | , | m3/s, ppm | |
| Membrane wall concentration | ppm | ||
| Schmidt number and Mass transfer coefficient, | , | -, m/s | |
| Physical properties | Density | , | kg/m3 |
| Diffusivity | m2/s | ||
| Viscosity | Pa s | ||
| Overall mass and material balances | - | ||
| Permeate concentration | ppm | ||
| Rejection and water recovery rate | , | - | |
| Description | Equation | Unit |
|---|---|---|
| Material balance of the RO plant | m3/s | |
| Mass balance of the RO plant | ppm | |
| Plant retentate flowrate of PRRO | m3/s | |
| Plant retentate flowrate of RRRO | m3/s | |
| Plant retentate concentration of PRRO | ppm | |
| Plant retentate concentration of RRRO | ppm | |
| Plant permeate concentration and permeate flowrate of PRRO | , | ppm, m3/s |
| Plant permeate concentration and permeate flowrate of RRRO | + | ppm, m3/s |
| Plant retentate pressure and retentate temperature of PRRO and RRRO | atm,°C | |
| Permeate flowrate, concentration, total rejection, and recovery rate of any block of PRRO and RRRO | , , , | m3/s, ppm, -, - |
| Feed flowrate, concentration, and pressure of block 3 of PRRO | , , | m3/s, ppm, atm |
| Plant recovery rate and solute rejection | , | -, - |
| Specific energy consumption of PRRO | kWh/m3 | |
| Specific energy consumption of RRRO | kWh/m3 |
| Description | Equation | Unit |
|---|---|---|
| Inlet feed water to MED system | kg/s | |
| Material balance for MED system | ppm | |
| Total freshwater production | kg/s | |
| Salinity of freshwater | ppm | |
| Total disposed brine | kg/s | |
| Salinity of disposed brine | ppm |
| Description | Equation | Unit |
|---|---|---|
| Temperature and pressure correction parameters | , | -, - |
| Pressure at vapour temperature | bar | |
| Pressure at steam temperature | bar | |
| Compression and entrainment ratios | , | -, - |
| Motive steam flowrate | kg/s |
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| Parameter | Value | Unit |
|---|---|---|
| Seawater salinity and temperature | 39,000 and 25 | ppm and °C |
| Number of effects | 10 | - |
| External steam flow rate, pressure, and temperature | 81,300 and 70 | kg/s, kPa, and °C |
| Rejected brine salinity and temperature | 60,000 and 40 | ppm, °C |
| Parameter | Value | Unit |
|---|---|---|
| Seawater pressure, flowrate, and temperature | 50, 0.058 and 25 | atm, m3/s and °C |
| Membrane supplier and brand | Toray membrane and TM820M-400/SWRO | - |
| Membrane material and module design | Polyamide thin-film composite and spiral wound element | - |
| Effective membrane area (Am), length (L) and width (W) | 37.2, 1 and 37.2 | m2, m, m |
| Thickness of feed (tf) and permeate (tp) channels | 8.6 × 10−4 (34 mils) and 5.5 × 10−4 | m |
| Maximum feed pressure, flowrate, and temperature | 81.91, 0.00536 and 45 | atm, m3/s and °C |
| Minimum feed flowrate | 0.001 | m3/s |
| Water Aw (25 °C) and NaCl Bs(25 °C) transport parameters * | 3.1591 × 10−7 and 1.7493 × 10−8 | m/s atm and m/s |
| Length of spacer (Lf) | 2.77 × 10−3 | m |
| Hydraulic diameter of the feed channel (dh) | 8.126 × 10−4 | m |
| Pump and ERD efficiencies | 85% and 80% | - |
| Integrated System Type | Freshwater | Disposed Stream | %Total Water Recovery (-) | Total specific Energy Consumption (kWh/m3) | ||
|---|---|---|---|---|---|---|
| Flowrate (kg/s) | Salinity (ppm) | Flowrate (kg/s) | Salinity (kg/m3) | |||
| Simple integrated of PRRO+MED_TVC (base case, Al-hotmani et al. [8]) | 89.940 | 10.882 | 158.872 | 60.493 | 30.6 | 14.295 |
| Simple integrated of PRRO+MED_TVC and PRRO and %Benefit | 98.004/+8.96% | 38.474 | 150.809/+5.07% | 63.709/ −5.31% | 33.4/+9.15% | 14.253/ −0.29% |
| Simple integrated of PRRO+MED_TVC and RRRO and %Benefit | 98.625/+9.65% | 278.667 | 150.187/+5.46% | 63.820/ −5.49% | 33.6/+9.80% | 15.704/ +9.85% |
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Al-hotmani, O.M.A.; Al-Obaidi, M.A.A.; John, Y.M.; Patel, R.; Mujtaba, I.M. An Innovative Design of an Integrated MED-TVC and Reverse Osmosis System for Seawater Desalination: Process Explanation and Performance Evaluation. Processes 2020, 8, 607. https://doi.org/10.3390/pr8050607
Al-hotmani OMA, Al-Obaidi MAA, John YM, Patel R, Mujtaba IM. An Innovative Design of an Integrated MED-TVC and Reverse Osmosis System for Seawater Desalination: Process Explanation and Performance Evaluation. Processes. 2020; 8(5):607. https://doi.org/10.3390/pr8050607
Chicago/Turabian StyleAl-hotmani, Omer Mohamed Abubaker, Mudhar Abdul Alwahab Al-Obaidi, Yakubu Mandafiya John, Raj Patel, and Iqbal Mohammed Mujtaba. 2020. "An Innovative Design of an Integrated MED-TVC and Reverse Osmosis System for Seawater Desalination: Process Explanation and Performance Evaluation" Processes 8, no. 5: 607. https://doi.org/10.3390/pr8050607
APA StyleAl-hotmani, O. M. A., Al-Obaidi, M. A. A., John, Y. M., Patel, R., & Mujtaba, I. M. (2020). An Innovative Design of an Integrated MED-TVC and Reverse Osmosis System for Seawater Desalination: Process Explanation and Performance Evaluation. Processes, 8(5), 607. https://doi.org/10.3390/pr8050607

