{
  "title": "Usable bottle volume, riser load and droplet-separation methods",
  "scope": "Adopted multiple-pipe geometry/model conditions; different questions from arrival imbalance and projectacceptance",
  "partly_filled": {
    "equation": "Vpart=pi Db^3/(8tan(theta))",
    "units": {
      "Db": "m internaldiameter",
      "theta": "slopeangleunder riser",
      "Vpart": "m3"
    },
    "maximum_level": "Lowestgas-risercentreline/lower innerbottlewallintersection",
    "dual_slope_riser_distance": "Db/tan(theta2) fromslopeintersection, theta2steeper",
    "hypothetical": {
      "Db_m": 1,
      "tan_theta": 0.01,
      "Vpart_m3": 39.269908169872416,
      "tan_theta2": 0.025,
      "dual_distance_m": 40
    },
    "limits": "Localpartlyfilledregion only; fullyfilledsections/secondary/initialbuffer separate. Secondaryfree surface not whollyinriser."
  },
  "riser": {
    "equations": {
      "velocity": "vSG=(1.2/npb)Qpipeline/(m pi Dr^2/4)",
      "load": "lambda=sqrt(rhoG/(rhoL-rhoG))vSG"
    },
    "conditions": "Pig/spherearrival, worstprimary1.2equalshare, no transfer tootherbottles; Qgasflowquantityactualbasis highestpigvelocitynotmaxnormal throughput; coarse droplets>2mm check distinct primarymist",
    "limit_lambda_m_s": 0.2,
    "height_method": "Under this selected method, h_riser ≥ min(5 Dr, 5 m): height is at least the lesser of five riser diameters and 5 m.",
    "hypothetical": {
      "rhoG_kgm3": 60,
      "rhoL_kgm3": 600,
      "Qpipeline_m3s": 0.4,
      "npb": 4,
      "m": 2,
      "Dr_m": 0.4,
      "vSG_m_s": 0.47746482927568595,
      "lambda_m_s": 0.15915494309189532,
      "velocity_bound_m_s": 0.6000000000000001
    },
    "operation": "Secondrisercontrolled20–30%underselectedmethod; part-unitmaintenance no sphering"
  },
  "settling": {
    "equations": {
      "Stokes": "Vs=(rhoL-rhoG)g dd^2/(18etaG)",
      "regime": "Re=Vs rhoG dd/etaG<1",
      "swarm": "Vs_swarm=Vs(1-H)^n",
      "time": "ts=Db/Vs_swarm"
    },
    "units": {
      "dd_Db": "m",
      "rho": "kg/m3",
      "eta": "Pa s",
      "g": "m/s2",
      "Vs": "m/s",
      "Re_H_n": "dimensionless",
      "ts": "s"
    },
    "hypothetical": {
      "dd_m": 1e-05,
      "rhoG_kgm3": 60,
      "rhoL_kgm3": 600,
      "eta_Pas": 1.2e-05,
      "g_ms2": 9.81,
      "Vs_ms": 0.0024525000000000007,
      "Re": 0.12262500000000004,
      "Db_m": 1,
      "isolated_time_s": 407.7471967380223,
      "H": 0.1,
      "n_sensitivity_only": [
        4.65,
        2.39
      ],
      "swarm_times_s": [
        665.5233770953148,
        524.5071180958143
      ]
    },
    "limits": "Exponentendpoints sensitivity notRe-specificselection/interpolation law; no validatedhigh-Revelocityinthisaccount"
  },
  "deposition": {
    "model_conditions": {
      "rhoL_kgm3": 600,
      "rhoG_kgm3": [
        40,
        60,
        80
      ],
      "eta_Pas": 1.2e-05,
      "liquid_gas_volume_ratio": 0.05,
      "downcomer_deg": 45,
      "bend_diameter_multiple": 1.5,
      "expander": "flat sidedown",
      "downcomer_bottle_ratio": 0.6666666666666666,
      "riser_bottle_ratio": 0.6666666666666666,
      "maximum_drop_um": [
        750,
        1000
      ],
      "no_reentrainment": true
    },
    "graph_read": {
      "rhoG_kgm3": 60,
      "maximum_drop_um": 1000,
      "gas_velocity_ms": 2,
      "efficiency_percent": 99.5,
      "L_over_Db_approx": 10,
      "author_coarse_reading_band": [
        8,
        12
      ],
      "hypothetical_Db_m": 1,
      "length_m_approx": 10,
      "length_band_m": [
        8,
        12
      ]
    },
    "limits": "Roundedworkinggraph read not tabulatedprecision/fullcurve reconstruction; densitygraphfamily inconsistentmonotonictrend, no strict substitution; actualgeometry anddropdistribution validity required"
  },
  "svg": "c11-slug-usable-volume.svg"
}