Engineering Encyclopedia · Process & Particle SystemsPlate 2 — Rev. A

Gas–Solid
Fluidized Bed Minimum Fluidization · Regimes · Pressure Drop

Blow gas up through a bed of particles and, past a threshold velocity, the solids behave like a boiling liquid. The same parametric plate-and-twin pipeline as Plate 1 — pointed at a completely different physics.

Reference Frame — Geldart Particle Classification
GELDART GROUPS
Geldart (1973): how a powder fluidizes is fixed first by where it sits in particle size vs. solid–gas density difference. This is the datum a bed design starts from — analogous to anchoring Plate 1 to a known vessel.
GroupCharacterTypical
CCohesive — hard to fluidize, channelsflour, <~30 µm
AAeratable — smooth, expands before bubblingFCC catalyst
BBubbling — bubbles at umf, sand-likesand, ~100–800 µm
DSpoutable — large/dense, large bubblesgrain, gravel
Current particle classifies as Group B Sand-like; bubbles form at minimum fluidization. Approximate, ambient-air chart. Boundaries shift with gas density and sphericity.
Sectional View & Live Readout
FREEBOARD BED (solids) DISTRIBUTOR PLENUM GAS u_g D=200 mm H₀=300 SECTION — COLUMN AXIS
Fig. 2-1. Gas enters the plenum, is spread by the distributor, and passes up through the solids. Below umf the bed is a fixed packing; above it the drag on the particles equals their weight and the bed fluidizes, bubbles forming in Group B/D powders.
Operating Readout— BUBBLING —
Min. fluidization  umfm/s
Gas velocity  ug = r·umfm/s
Terminal vel.  utm/s
Archimedes  Ar
Re at umf
Bed Δp (fluidized)Pa
Expanded height  Hm
Gas density  ρgkg/m³
Flow regimeBubbling

All quantities recompute from particle and gas properties through the standard correlations — named in the prose so you can check them.

Parametric Controls
Drives umf strongly (≈ d_p² when fine). Sets the Geldart group.
Sand ≈ 2500, FCC catalyst ≈ 1500, metal oxides > 4000.
Below 1 = fixed bed. The photo series ran 1.2–1.7. Past ut = entrainment.
Sets gas throughput and bubble scale, not umf.
Settled bed depth. Pressure drop scales directly with it.
Heated beds thin and stiffen the gas, raising umf. Particle glow tracks this.
Fraction of bed volume that is gas at incipient fluidization.
1 = perfect sphere. Lower for angular sand; lengthens settling.
Operating View — Regime & Motion
Column · gas up · particles & bubbles r = 1.40 · bubbling
Fig. 2-2. Particle motion and bubble vigour scale with how far the gas velocity exceeds umf. Below umf the packing sits still; raise r and bubbles grow; past the terminal velocity, particles are carried out the top. Particle colour warms with gas temperature. Illustrative, not a granular-flow solve.
As-Designed Specification — Dual Unit
Table 2-1. Operating quantities in SI and U.S. customary units. Live values track the controls.
SymbolQuantitySI valueU.S. customary
Principle of Operation

A fixed bed of particles resists gas flow, and the pressure needed to push gas through rises with velocity. At one particular velocity the drag on the particles exactly equals their submerged weight — the bed is on the verge of lifting itself. That is the minimum fluidization velocity, and above it the solids unlock and circulate like a simmering fluid.

The threshold is found by balancing the Ergun pressure gradient against the bed weight. The dimensionless form, due to Wen and Yu, gives the particle Reynolds number at minimum fluidization directly from the Archimedes number:

Ar = ρ_g(ρ_p−ρ_g) g d_p³ / μ²
Re_mf = √(27.2² + 0.0408·Ar) − 27.2
u_mf = Re_mf · μ / (ρ_g d_p)

At the other end, a single particle is blown clear when the gas reaches its terminal velocity. The Haider–Levenspiel correlation gives it without iteration, and the gap between u_mf and u_t is the whole usable operating window of a bubbling bed:

u_t from d* = Ar^⅓,  u* = [18/d*² + 0.591/√d*]⁻¹

Once fluidized, the bed pressure drop stops rising — it simply equals the bed weight per unit area, which is why Δp is a flat plateau and a reliable measurement of inventory:

Δp = (ρ_p−ρ_g)(1−ε_mf) g H

Heating the gas, as in a solar particle receiver or a combustor, thins it and raises its viscosity slightly, pushing u_mf up — so a hot bed needs more blower velocity to stay fluidized than a cold one at the same flow. The twin shows this the moment you drag the temperature control.

Dimensioned Drawing — Sheet FBR-DWG-001
View 1 · Column elevation · section
GAS IN ⌀D=200 H₀=300 FREEBOARD 450 DISTRIBUTOR SECTION — COLUMN
FLUIDIZED BED COLUMN
FREEBOARD = 1.5 × H₀ (rule)
Drawing No.FBR-DWG-001RevA
ScaleNTSUnitsmm
DrawnTWINDate
NotesAll dims mm. Geometry schematic; callouts track the twin. Freeboard sized to disengage entrained fines.

Same drafting pattern as Plate 1: live dimension callouts (⌀D, H₀, freeboard) driven by the controls. DXF/G-code export transfers here too — say the word and I'll wire it.

Engineering Encyclopedia · Fluidized Bed · Plate 2 Rev. A Interactive twin — Wen-Yu · Haider-Levenspiel · Ergun · computed client-side