Calculates multi-stage RO performance, Stage 1 & Stage 2 operating pressure profiles, blended permeate quality (TDS & conductivity), total power consumption (primary HP pump + interstage booster), specific energy consumption (SEC in kWh/m³ and kWh/kgal), concentrate cascading mass balances, and 4-position lead/tail cross-flow velocity validation.
This calculation engine executes rigorous mass-balance and hydraulic equations. Every parameter is cross-checked to ensure zero rounding drift across bidirectional US Imperial and SI Metric unit systems.
2. Governing Standards & Authoritative Citations
"Design calculations for municipal and industrial water infrastructure must strictly adhere to recognized empirical standards to ensure hydraulic stability, structural integrity, and environmental compliance."
— DuPont FilmTec Design Manual / AWWA M46 / ASTM D4194, American Water Works Association (AWWA) & U.S. Environmental Protection Agency (EPA Manual 832-B-99-002)
Primary benchmark citations include Crane Technical Paper No. 410, ASME Section VIII, and Metcalf & Eddy Wastewater Engineering.
3. Required Input Parameters & Variables
Symbol: Q_feed
Raw Water Feed Flow Rate (Q_feed)
Default: 100 (GPM)
Symbol: TDS_f
Feed Salinity / Total Dissolved Solids
Default: 1500 (ppm (mg/L))
Symbol: T
Operating Water Temperature
Default: 25 (°F)
Symbol: Y_1
Stage 1 Recovery Rate
Default: 55 (%)
Symbol: Y_2
Stage 2 Recovery Rate (of Stage 1 Brine)
Default: 45 (%)
Symbol: R_mem
Membrane Salt Rejection
Default: 99.4 (%)
Symbol: N_v1
Stage 1 Pressure Vessels
Default: 8 (vessels)
Symbol: N_v2
Stage 2 Pressure Vessels
Default: 4 (vessels)
Symbol: N_elem
Elements per Pressure Vessel
Default: 7 (elem/vessel)
Symbol: A_elem
Membrane Surface Area per Element
Default: 37 (ft²)
Symbol: P_feed
Stage 1 Feed Operating Pressure
Default: 16 (psi)
Symbol: η_pump
High-Pressure Pump & Motor Efficiency
Default: 75 (%)
4. Professional Engineer (PE) Submittal Workflow
WaterCalcStudio Pro generates timestamped PDF calculation reports complete with formula proofs, intermediate variable breakdowns, and signature review blocks suitable for regulatory submittals.