{
  "version": "packet02-v1",
  "historical_basis": {
    "economic_chart_date": "February1982",
    "materials_index_year": 1986,
    "materials_index": 720,
    "liquid_chart": {
      "r_years": 4,
      "F": 40,
      "S": 0.8,
      "K": 865.5,
      "F_over_rKS": 0.0144
    },
    "gas_chart": {
      "r_years": 4,
      "F": 40,
      "K": 1045.5,
      "T_printed": 520,
      "FT_over_Kr": 4.97
    },
    "machinery_relations": {
      "pump": "k=255*adopted_index/720",
      "compressor": "k=495*adopted_index/720"
    },
    "status": "Historical dimensional correlation inputs only, not prices or indices for a present project; gas-chart temperature convention requires confirmation before numerical use."
  },
  "pipe_equations": {
    "C_per_foot_year": "F*D/r + 7.85e-6*K*S*Q^3*f_Darcy/D^5",
    "F": "(1+X)*L_groupII",
    "K": "Y*k/r + 8760*c_hydraulic_hp_hour*t",
    "c_hydraulic_hp_hour": "0.7457*energy_rate_dollar_kWh/efficiency_fraction",
    "Dstar_if_f_constant": "(5*7.85e-6*K*S*Q^3*f_Darcy*r/F)^(1/6)",
    "units": {
      "C": "dollar/(ft year)",
      "D": "inside diameter,in",
      "F": "dollar/(diameter in ft)",
      "K": "dollar/(hydraulic hp year)",
      "Q": "USgpm",
      "S": "density/water60F",
      "r": "year",
      "X": "fraction",
      "t": "fraction",
      "k": "dollar/hydraulic hp",
      "L_groupII": "dollar/(diameter in ft)",
      "f_Darcy": "dimensionless, defined by pressure loss lambdaLrhoV\u00b2/(2di)"
    }
  },
  "hypothetical_pipe_inputs": {
    "status": "hypothetical monetary and operating inputs; dollars label a chosen teaching currency, no date/current price claim",
    "F_dollar_per_diameter_inch_ft": 80,
    "r_years": 5,
    "S_water60F": 0.8,
    "Q_gpm": 1000,
    "f_Darcy": 0.02,
    "installed_machinery_multiplier_Y": 3,
    "purchase_machinery_dollar_per_hydraulic_hp": 2000,
    "pump_driver_efficiency_fraction": 0.75,
    "load_fraction": 0.8,
    "power_rate_dollar_kWh_cases": [
      0.03,
      0.3
    ],
    "candidate_inside_diameters_in": [
      6,
      8,
      10,
      12
    ]
  },
  "pipe_cases": [
    {
      "tariff_dollar_kWh": 0.03,
      "K_dollar_per_hydraulic_hp_year": 1409.0346240000001,
      "continuous_Dstar_in": 6.172487527301871,
      "candidates": [
        {
          "inside_diameter_in": 6,
          "capital_dollar_per_ft_year": 96.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 22.759098350617286,
          "total_dollar_per_ft_year": 118.75909835061728
        },
        {
          "inside_diameter_in": 8,
          "capital_dollar_per_ft_year": 128.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 5.400840721875,
          "total_dollar_per_ft_year": 133.400840721875
        },
        {
          "inside_diameter_in": 10,
          "capital_dollar_per_ft_year": 160.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 1.769747487744,
          "total_dollar_per_ft_year": 161.769747487744
        },
        {
          "inside_diameter_in": 12,
          "capital_dollar_per_ft_year": 192.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 0.7112218234567902,
          "total_dollar_per_ft_year": 192.71122182345678
        }
      ]
    },
    {
      "tariff_dollar_kWh": 0.3,
      "K_dollar_per_hydraulic_hp_year": 3290.3462400000003,
      "continuous_Dstar_in": 7.109627990454665,
      "candidates": [
        {
          "inside_diameter_in": 6,
          "capital_dollar_per_ft_year": 96.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 53.1465390617284,
          "total_dollar_per_ft_year": 149.1465390617284
        },
        {
          "inside_diameter_in": 8,
          "capital_dollar_per_ft_year": 128.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 12.611922843750001,
          "total_dollar_per_ft_year": 140.61192284375
        },
        {
          "inside_diameter_in": 10,
          "capital_dollar_per_ft_year": 160.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 4.13267487744,
          "total_dollar_per_ft_year": 164.13267487744
        },
        {
          "inside_diameter_in": 12,
          "capital_dollar_per_ft_year": 192.0,
          "flow_energy_and_machinery_dollar_per_ft_year": 1.6608293456790124,
          "total_dollar_per_ft_year": 193.66082934567902
        }
      ]
    }
  ],
  "valve_equations": {
    "annual_cost": "installed_assembly_cost/r+(0.7457/eta)*P_hydraulic_hp*(demand_charge+8760*energy_rate*t)",
    "liquid_pressure_loss_psi": "0.0011*S*Q_gpm\u00b2*K_assembly/d_in\u2074",
    "liquid_hydraulic_hp": "Q_gpm*deltaP_psi/1715",
    "source_rounded_expansion": "6.4e-7*S*Q\u00b3*K_assembly/d\u2074",
    "gas_pressure_loss_psi": "2720*K_assembly/d\u2074/rho_lb_ft3*(M_lb_hr/100000)^2",
    "gas_hydraulic_hp": "M_lb_hr*deltaP_psi/(13750*rho_lb_ft3)",
    "gas_rounded_expansion": "19782*K_assembly/d\u2074/rho_lb_ft3\u00b2*(M_lb_hr/100000)^3",
    "units": {
      "d": "valve actual inside diameter,in",
      "D": "pipe actual inside diameter,in",
      "S": "liquid SG",
      "Q": "USgpm",
      "rho": "lb/ft\u00b3",
      "M": "lb/h, not thousand-lb/h unless explicitly converted",
      "P_hydraulic_hp": "hydraulic horsepower",
      "eta": "combined efficiency as fraction",
      "t": "operating year fraction",
      "demand_charge": "dollar/(kW year)",
      "energy_rate": "dollar/kWh",
      "K_assembly": "dimensionless coefficient referenced to valve-bore velocity, adopted separately"
    }
  },
  "hypothetical_valve_inputs": {
    "r_years": 5,
    "eta_fraction": 0.75,
    "t_fraction": 0.8,
    "S": 0.8,
    "energy_rate_dollar_kWh": 0.1,
    "demand_charge_dollar_kW_year": 50,
    "candidates": [
      {
        "d_in": 6,
        "installed_assembly_cost_dollar": 6000,
        "K_assembly": 0.8
      },
      {
        "d_in": 8,
        "installed_assembly_cost_dollar": 10000,
        "K_assembly": 0.2
      }
    ],
    "flows_gpm": [
      1000,
      2000
    ],
    "status": "Hypothetical total loss coefficients and installed assemblies including reducers/flanges; no adopted component data or actual product."
  },
  "valve_cases": [
    {
      "Q_gpm": 1000,
      "candidates": [
        {
          "d_in": 6,
          "loss_psi": 0.54320987654321,
          "hydraulic_hp": 0.3167404527948746,
          "annual_capital_dollar": 1200.0,
          "annual_energy_dollar": 236.44529522849712,
          "annual_total_dollar": 1436.4452952284971
        },
        {
          "d_in": 8,
          "loss_psi": 0.04296875000000001,
          "hydraulic_hp": 0.025054664723032073,
          "annual_capital_dollar": 2000.0,
          "annual_energy_dollar": 18.703192298347915,
          "annual_total_dollar": 2018.7031922983479
        }
      ]
    },
    {
      "Q_gpm": 2000,
      "candidates": [
        {
          "d_in": 6,
          "loss_psi": 2.17283950617284,
          "hydraulic_hp": 2.533923622358997,
          "annual_capital_dollar": 1200.0,
          "annual_energy_dollar": 1891.562361827977,
          "annual_total_dollar": 3091.562361827977
        },
        {
          "d_in": 8,
          "loss_psi": 0.17187500000000003,
          "hydraulic_hp": 0.20043731778425658,
          "annual_capital_dollar": 2000.0,
          "annual_energy_dollar": 149.62553838678332,
          "annual_total_dollar": 2149.6255383867833
        }
      ]
    }
  ],
  "source_formula_limits": [
    "Large-valve coefficient unresolved: prose constant0.14 vs displayed0.14d for d\u226514in. Neither selected for numerical use.",
    "Displayed enlargement head h=((V1-V2)/(2g))\u00b2 has time\u00b2, not head length, under stated units. Not used and not silently corrected.",
    "Enlarger piecewise coefficient has strict d/D<0.8 and>0.8; equality unstated. Adjacent note introduces diameter-reference ambiguity; manufacturer/validated assembly K required."
  ],
  "constraints": [
    "Adopted pressure-loss/velocity limit",
    "NPSH/cavitation",
    "erosion and phase behavior",
    "pressure rating/mechanical stress",
    "material/service compatibility",
    "removal/access/drainability",
    "available pressure, machinery performance and actual configuration"
  ]
}