Precision Acrylic Packed Column
50.0 mm inner diameter column with 500 mm active bed length and calibrated support grid.
Chemical & Process Engineering / Packed Bed Permeability
FREE TO EXPLORELABORATORY 05 · CHEMICAL & PROCESS ENGINEERING
Packed Bed Liquid Percolation & Kozeny–Carman Permeability Calibration
Measure laminar liquid pressure drop across a column packed with random Raschig rings/spherical packing, verify the Kozeny–Carman equation, and evaluate packed bed permeability K. Explore interactive transport phenomena, unit operations simulation, and chemical engineering telemetry.
TRANSPORT PHENOMENA · UNIT OPERATIONS · PROCESS CONTROL · REACTION ENGINEERING
Your virtual chemical and process engineering laboratory.
PACKED BED PRESSURE DROP ΔP—
PROCESS & PILOT PLANT TELEMETRY
Ready to sample with Velocity u_0 = 3.0 mm/s.
Adjust Velocity u_0, then execute chemical process trial.
Chemical and process engineering telemetry is evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity transport phenomena and unit operations modeling.
Process engineering assumptions and boundary condition limits
The transport and thermodynamic models apply within the specified calibrated operating window (1.0 to 6.0 mm/s). Evaluated using a 50.0 mm ID column packed with 6.0 mm borosilicate glass Raschig rings (voidage ε = 0.58) over a bed length L = 500 mm. Linear regression relates pressure drop ΔP directly to superficial liquid velocity u_0.
Process apparatus & industrial sensors.
Borosilicate Glass Raschig Ring Packing
6.0 mm random packing providing reproducible void fraction ε = 0.58 and high specific surface area.
Positive-Displacement Peristaltic Metering Pump
Delivers pulsation-damped, laminar liquid flow from 0.5 to 8.0 mm/s.
High-Precision Differential Pressure Transmitter
Measures pressure drop across bed end taps from 0 to 20 kPa with 0.02 kPa accuracy.
Graduated Flow Catch Cylinder & Digital Balance
Gravimetrically verifies volumetric discharge rate to calibrate superficial velocity u_0.
Constant-Temperature Circulating Water Bath
Maintains percolating liquid at 20.0 ± 0.1 °C to ensure constant dynamic viscosity.
FOLLOW THE METHOD
A reason behind every step.
Measure laminar liquid pressure drop across a column packed with random Raschig rings/spherical packing, verify the Kozeny–Carman equation, and evaluate packed bed permeability K. Standardized parameter settings: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 mm/s.
01
Bed Packing & Deaeration
Pack the column with Raschig rings under water to prevent air pocket entrapment; circulate degassed water at low flow to displace all micro-bubbles.
02
Zero Differential Datum
Halt flow and verify that the differential pressure transmitter reads exactly 0.000 kPa across the 500 mm bed taps.
03
Low Velocity Flow Initiation
Set pump delivery to achieve superficial velocity u_0 = 1.0 mm/s; allow pressure to steady for 120 seconds and log differential pressure ΔP.
04
Sequential Velocity Increments
Increase superficial velocity in uniform steps through 2.0, 3.0, 4.0, 5.0, and 6.0 mm/s, recording steady-state differential pressure at each plateau.
05
Gravimetric Flow Cross-Validation
Collect effluent for 120 seconds into a tared vessel at each plateau to confirm volumetric throughput and exact superficial velocity.
06
Kozeny–Carman Regression
Plot bed pressure drop ΔP versus superficial velocity u_0, extract the resistance slope S, and compute the bed permeability K.
YOUR NOTEBOOK · 0 OBSERVATIONS
Turn measurements into chemical process engineering insight.
Points are your recorded observations. The solid regression line validates Packed Bed Permeability mathematical scaling.
LINEAR REGRESSION FIT · y = mx + b
ΔP = S · u_0 = 1.6500 · u_0
| # | Superficial Liquid Velocity u_0 (mm/s) | Packed Bed Pressure Drop ΔP (kPa) | Superficial liquid velocity u_0 (mm/s) | Packed bed pressure drop ΔP (kPa) | Remove |
|---|
No readings yet. Execute a process trial and record it.
Calculate it yourself.
CHECK YOUR UNDERSTANDING
Explain what the process engineering metrics mean.
In the Kozeny–Carman equation for laminar flow through porous media, pressure drop is proportional to:
The Kozeny–Carman equation models the pore structure of a packed bed as:
According to the Kozeny–Carman relation, bed permeability scales with voidage ε as:
The typical value of the Kozeny constant k_K for random granular beds is approximately:
THEORY AND UNIT OPERATIONS CONTEXT
Process engineering background & physical principles.
Packed bed columns are fundamental contactors across absorption, distillation, heterogeneous catalysis, groundwater filtration, and chromatography. When liquid percolates through a stationary porous medium packed with random packing elements (such as Raschig rings, Berl saddles, or glass spheres), the interstitial flow pathways form a complex network of tortuous, interconnected micro-channels. At low pore Reynolds numbers (Re_p < 2), viscous shear dissipation dominates momentum transport, and flow obeys Darcy's macroscopic filtration law: u_0 = (K / μ) · (ΔP / L). The classic Kozeny–Carman model derives this empirical relationship mechanistically by idealizing the interstitial pore space as a bundle of parallel tortuous capillary conduits of hydraulic radius R_h = ε / [a_v · (1 - ε)], where ε is bed voidage and a_v is specific surface area per unit volume of solid particles. Substituting into the Hagen–Poiseuille capillary equation yields the Kozeny–Carman equation: ΔP / L = [k_K · μ · a_v^2 · (1 - ε)^2 / ε^3] · u_0, where k_K ≈ 5.0 is the empirical Kozeny constant. In this laboratory experiment, water is pumped at controlled superficial velocities through a 500 mm packed column to verify linear Darcy scaling, quantify the hydraulic resistance slope S, and evaluate the specific permeability K.
ΔP = S · u_0 = 1.6500 · u_0
Evaluated using a 50.0 mm ID column packed with 6.0 mm borosilicate glass Raschig rings (voidage ε = 0.58) over a bed length L = 500 mm. Linear regression relates pressure drop ΔP directly to superficial liquid velocity u_0.