Everything, Everywhere
Verified Specification | Standardized Formulas | Instant Precision
Secure & Private (Zero Data Retention) Free Access • No Sign-Up
THERMAL PROCESS & EVAPORATION TECHNOLOGY

Multiple-Effect Evaporator (MEE) Steam Economy Calculator

Size industrial multi-effect evaporator trains (2 to 6 effects). Compute steam economy, motive live steam consumption, boiling point elevation (BPE) temperature drops, and calandria heat transfer areas.

Feed Liquor & Evaporation Duty

kg/h dilute feed liquor
% wt dissolved solids
% wt concentrated product

Steam, Vacuum & Boiling Point Elevation

°C (sat steam ~ 4.1 bar abs)
°C (vac ~ 0.12 bar abs)
°C elevation at product discharge
W/(m²·K) calandria heat transfer

Steam Economy & Calandria Sizing

Steam Economy (SE)
--
--
Live Steam Required
--
--
Total Water Evaporated
--
--
Calandria Area / Effect
--
--
Effective Available ΔT (Net)
--
--
Condenser Cooling Duty
--
--
Gross ΔT
--
Avg Evap / Effect
--
Specific Steam
--

Multiple-Effect Temperature Gradient & Stage Calandria Profile

5 Fatal Industrial Traps in Multi-Effect Evaporator Design

1. Cumulative Boiling Point Elevation (BPE) ΔT Choke

In concentrated solutions (caustic soda, aluminate, black liquor, crystallizing ZLD brine), dissolved solids cause immense boiling point elevations ($Delta T_{BPE} = 15^circ-30^circ ext{C}$). Because vapor boils at saturation temperature but the liquid boils at $T_{sat} + Delta T_{BPE}$, this temperature jump is permanently deducted from the available driving force in every single effect. If too many effects are specified, $sum Delta T_{BPE}$ exhausts the total available thermal head, dropping effective $Delta T$ to near-zero.

2. Non-Condensable Gas (NCG) Air-Binding in Calandria Steam Chests

Vapors generated from chemical feeds carry dissolved atmospheric gases ($CO_2, O_2, N_2$) or vacuum in-leakage. Even a 0.5% concentration of non-condensable gas creates a stagnant insulating boundary layer over condensing calandria tubes, dropping the steam-side condensing film coefficient by 50% to 75%. Continuous top and bottom calandria vent orifices piped to the next effect or vacuum condenser are mandatory.

3. Falling Film Tube Dry-Out & Caramelization / Polymerization

In falling film evaporators, liquor must maintain a continuous wetting rate per tube circumference ($w_{min} ge 150-200 ext{ kg}/( ext{m}cdot ext{h})$). If liquid distribution trays suffer clogging, unlevel installation, or low feed rate, the falling liquid film breaks into dry rivulets. The bare metal tube overheats, baking organic syrups, proteins, or polymers into rock-hard burnt crusts that choke tube bundles.

4. Droplet Entrainment Carryover & Clean Condensate Contamination

High vapor release velocities from boiling liquor generate fine aerosol mists. Without high-efficiency demister chevron pads or tangential vapor separator bodies sized for low vapor velocity ($v_{vap} < 0.05 sqrt{( ho_L - ho_V)/ ho_V}$), concentrated chemical liquor carries over into the next calandria steam chest. This contaminates pure boiler-return condensate, forcing contaminated condensate dumping and creating severe boiler feedwater treatment costs.

5. Caustic Embrittlement & Chloride Stress Corrosion in Austenitic Stainless

Standard austenitic stainless steels (304L, 316L) suffer violent transgranular stress corrosion cracking (SCC) when exposed to hot chloride or alkaline solutions at temperatures above $60^circ-70^circ ext{C}$. High-temperature effects ($T > 100^circ ext{C}$) in caustic soda or salt evaporation must utilize pure Nickel 200/201 or Titanium Grade 2 metallurgy; using 316L results in catastrophic calandria tube fracture within months.

Governing Equations: Multi-Effect Thermal & Heat Balance

1. Overall Evaporation Mass Balance:

W_{tot} = F cdot left(1 - rac{x_F}{x_P} ight) quad [ ext{kg/h}], quad L_{product} = F - W_{tot}

2. Gross & Net Available Temperature Driving Force:

Delta T_{gross} = T_{steam} - T_{condenser}, quad Delta T_{net} = Delta T_{gross} - sum_{i=1}^N Delta T_{BPE,i}

3. Equal Area Calandria Temperature Allocation:

Delta T_i = Delta T_{net} cdot rac{1 / U_i}{sum_{j=1}^N (1 / U_j)}, quad A_i = rac{Q_i}{U_i cdot Delta T_i}

4. Steam Economy ($SE$) & Live Steam Consumption:

SE approx N cdot eta_{stage} quad (eta_{stage} approx 0.82-0.88), quad S_{live} = rac{W_{tot}}{SE} quad [ ext{kg/h}]

Frequently Asked Questions

What is Steam Economy (SE) and what limits its maximum value? +
How does Boiling Point Elevation (BPE) reduce multi-effect evaporator capacity? +
When should forward feed vs backward feed liquor flow be selected? +
How does Thermo-Vapor Recompression (TVR) improve steam economy? +
Why are non-condensable gas vents essential in evaporator calandrias? +
Sponsored Utility
While You're Here
Sponsored Recommendations
Advertisement