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Wiped Film Evaporator & Short Path Distillation Calculator

Perform engineering sizing and process modeling for industrial Wiped Film Evaporators (WFE / ATFE) and short-path molecular stills. Calculate rotor tip speed, dynamic thin-film thickness, residence time, heat transfer duty, evaporation flux, and check minimum wetting limits.

1. Process Feed & Evaporator Geometry

%
Avoid >90% cut without solvent recycle to prevent dry spots
mm
mm
RPM
Target blade tip speed: 7 to 11 m/s
cP (mPa·s)
°C ((Delta T))
✓ Diagnostic Summary Copied!

2. Thin-Film, Thermal & Kinetic Sizing

Evaporator Heat Surface ((A))
--
m² (-- sq ft)
Wiper Blade Tip Speed ((v_{tip}))
--
m/s (Target: 7-11 m/s)
Dynamic Film Thickness ((delta))
--
mm (Agitated Bow Wave)
Mean Film Residence Time (( au))
--
seconds (Thermal Exposure)
Wetting Rate at Bottom ((Gamma_{bot}))
--
kg/(m·h) (Min: 90 kg/m·h)
Specific Evaporative Flux ((J))
--
kg/(m²·h) (Distillate Rate)
Heat Transfer Duty ((Q_{duty}))
--
kW (Overall U: -- W/m²K)
Distillate & Residue Production
--
kg/h Dist (Res: -- kg/h)
Film Hydrodynamics & Thermal Status: Evaluating...

Engineering Principles & Agitated Thin-Film Derivations

Wiped Film Evaporators (WFE) and Short-Path Molecular Stills (SPE) are the definitive separation tools for thermolabile (heat-sensitive) active pharmaceutical ingredients, high-potency cannabis extracts, monoglycerides, and polymers that degrade under boiling times longer than one minute.

1. Wiper Rotor Kinematics & Bow Wave Hydrodynamics

Rotor peripheral tip velocity (v_{tip}) is determined from cylinder inside diameter (D) and rotational speed (N):

v_{tip} = rac{pi cdot D cdot N}{60} quad [ ext{m/s}]

Operating tip speed between 7.0 and 11.0 m/s generates intense hydrodynamic bow waves ahead of each wiper blade, renewing the wall surface 20 to 50 times per second.

2. Dynamic Thin Film Thickness & Mean Residence Time

Under gravity drainage and blade wiping, the mean agitated film thickness (delta) is correlated via the modified Nusselt/Kern-Karpath formulation:

delta = left( rac{3 mu Gamma}{ ho^2 g} ight)^{1/3} imes left(1 + 0.15 left( rac{mu_{cP}}{100} ight)^{0.4} ight) quad [ ext{m}]

Where (Gamma = rac{dot{M}_{feed}}{pi D}) is the peripheral wetting rate. Total liquid hold-up inside the active heated cylinder is (V_{film} = pi D L delta). The mean thermal residence time ( au) is:

au = rac{V_{film} cdot ho}{dot{M}_{feed}} imes 3600 quad [ ext{seconds}]

3. Heat Transfer Coefficient & Evaporative Flux

Because the agitated film is ultra-thin and turbulent, the convective film coefficient is extraordinarily high, yielding overall heat transfer coefficients (U approx 1,000 ext{ to }2,200, ext{W/m}^2cdot ext{K}):

Q_{duty} = U cdot A cdot Delta T = U cdot (pi D L) cdot (T_{jacket} - T_{boil}) quad [ ext{W}] \J_{evap} = rac{dot{M}_{distillate}}{pi D L} quad [ ext{kg}/( ext{m}^2cdot ext{h})]

4. Minimum Wetting Rate ((Gamma_{min})) Safety Boundary

To guarantee complete surface coverage without dry burn-on, the residue mass flow per perimeter at the bottom cone exit must satisfy:

Gamma_{bottom} = rac{dot{M}_{residue}}{pi D} = rac{dot{M}_{feed} cdot (1 - ext{Evap%}/100)}{pi D} ge 90 quad [ ext{kg}/( ext{m}cdot ext{h})]

5 Fatal Engineering Traps & Industrial Operating Hazards

1. Dry Spot Film Rupture & Wall Burn-on Crust

Pushing evaporation cut past 90% starves the bottom perimeter of liquid below the minimum wetting rate ((Gamma < 90, ext{kg/m}cdot ext{h})). The liquid film tears into rivulets, exposing bare heated 316L stainless steel. Thermally sensitive organic oil bakes onto the dry wall, producing a charred, insoluble black crust that degrades heat transfer by 70% and ruins batch color purity.

2. Entrainment Carryover to Internal Molecular Condenser

Operating with excessive rotor speed (>12 m/s) or flashing high-volatility solvent creates violent droplet splattering. Liquid droplets are thrown across the 35 mm internal vacuum gap directly onto the pure distillate condenser surface. This mechanical splash bypasses thermal vaporization entirely, instantly contaminating pharmaceutical-grade distillate with crude feed residue.

3. PTFE / Carbon Wiper Blade Thermal Binding & Seizure

Virgin PTFE has a thermal expansion coefficient nearly 10 times higher than 316L stainless steel. If replacement wiper blades are machined with cold clearances under 1.5 mm, heating thermal oil to 220°C expands the blades until they lock tightly against the heated cylinder. The drive motor stalls or snaps the mechanical shear pin on the rotor shaft within minutes.

4. Cold Condenser Crystallization Freeze-up

In high-purity molecular distillation of high-melting-point compounds (e.g. cannabinoids, fatty acids, stearates), chilling the internal condenser coolant below the distillate solidification point freezes crystalline solid directly on the condenser surface. The solid wax layer bridges across the vacuum gap to the rotating blades, destroying wiper assemblies.

5. Viscous Hydrodynamic Drag Motor Overload

Concentrating high molecular weight polymers or resins causes liquid viscosity to skyrocket from 200 cP up to 15,000 cP at the residue outlet. Agitating a thick viscous layer demands huge rotor torque ((P_{motor} propto mu v_{tip}^2)). Sizing with standard fractional horsepower gearmotors causes thermal overload tripouts under steady-state distillation.

Frequently Asked Questions & Expert Guidance

How does a Wiped Film Evaporator (WFE) separate heat-sensitive chemicals without thermal degradation? +
A Wiped Film Evaporator (also called an Agitated Thin-Film Evaporator, ATFE) spreads feed liquid into an extremely thin, turbulent film (typically 0.2 to 1.0 mm thick) along the inside wall of a heated cylindrical thermal jacket. Rotating wiper blades (hinged swinging carbon/PTFE blades or fixed-clearance wipers spinning at 7 to 12 m/s tip speed) create a continuous hydrodynamic bow wave in front of each blade. This intense turbulence provides extraordinary heat transfer coefficients (1,000 to 2,500 W/m²·K). Crucially, the liquid drains rapidly by gravity, resulting in ultra-short exposure times of only 10 to 40 seconds at elevated temperature, preventing thermal decomposition of sensitive APIs, botanicals, and vitamins.
What is the fundamental difference between a standard WFE and a Short Path Molecular Distillation unit? +
In a standard WFE, evaporated vapors travel out of the vessel through an external duct into a remote shell-and-tube condenser. This external piping path introduces a finite vapor pressure drop (limiting lowest practical vacuum to 1 to 5 mbar). In a Short Path Evaporator (SPE / Molecular Still), a cylindrical condenser is positioned directly inside the center of the evaporator vessel, only 20 to 50 mm away from the heated evaporating wall. Operating under high vacuum (0.001 to 0.1 mbar), the distance between evaporating surface and condensing surface is shorter than the mean free path of vapor molecules (\(Kn = \lambda / d_{gap} > 1.0\)), eliminating vapor pressure drop and enabling distillation at temperatures 50°C to 100°C lower than standard boiling points.
What is the Langmuir-Knudsen equation for molecular distillation flux? +
Under collision-free high vacuum, the maximum theoretical mass rate of evaporation \(G_{max}\) from a liquid surface into deep vacuum is given by the Langmuir-Knudsen equation:\n$$G_{max} = 0.0583 \cdot \alpha \cdot P_{vap}^* \cdot \sqrt{\frac{M}{T}} \quad [\text{g}/(\text{cm}^2\cdot\text{s})]$$\nWhere \(alpha\) is the evaporation coefficient (typically 0.7 to 1.0), \(P_{vap}^*\) is saturation vapor pressure in Torr at surface temperature \(T\) (Kelvin), and \(M\) is molecular weight. In commercial short-path evaporators, actual industrial fluxes reach 30% to 70% of theoretical maximum due to boundary layer diffusion resistance in viscous liquid films.
How is the minimum wetting rate ($\Gamma_{min}$) calculated to prevent hot-wall dry spots? +
To maintain a continuous protective liquid film across the entire cylindrical heating perimeter without dry-out, the mass feed rate per unit perimeter \(Gamma\) must exceed the critical minimum wetting rate:\n$$\Gamma = \frac{\dot{M}_{residue}}{\pi D} \ge \Gamma_{min} \approx 0.025\text{ to }0.040 \quad [\text{kg}/(\text{m}\cdot\text{s})]$$\nIf distillation recovery is pushed too high (>90% vapor cut) and liquid throughput drops below \(Gamma_{min}\), dry patches form on the heated wall. The stagnant film cooks onto the 316L stainless steel, forming an insulating charred crust (burn-on) that permanently ruins product purity.
Why is rotor blade tip speed maintained strictly between 7 m/s and 12 m/s? +
Wiper rotor tip speed (\(v_{tip} = \pi D N / 60\)) governs the mechanical mechanics of the film: (1) Below 7 m/s: Centrifugal force is insufficient to maintain a continuous bow wave ahead of the wiper blade, allowing viscous fluid to channel in rivulets; and (2) Above 12 m/s: Extreme aerodynamic and mechanical shear pulverizes liquid droplets into a fine airborne aerosol fog that gets carried over into the pure distillate condenser, causing severe color and impurity contamination.

Frequently Asked Questions

How does a Wiped Film Evaporator (WFE) separate heat-sensitive chemicals without thermal degradation? +
What is the fundamental difference between a standard WFE and a Short Path Molecular Distillation unit? +
What is the Langmuir-Knudsen equation for molecular distillation flux? +
How is the minimum wetting rate ($\Gamma_{min}$) calculated to prevent hot-wall dry spots? +
Why is rotor blade tip speed maintained strictly between 7 m/s and 12 m/s? +
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