{
  "schema": "piping-tracing-selection-method/v1",
  "title": "Conditional heat-loss to ordinary-tracer delivery comparison",
  "axes": {
    "loss": {
      "x": "fluid minus ambient temperature difference",
      "x_units": "degF",
      "source_range": [
        0,
        500
      ],
      "y": "loss per foot of pipe",
      "y_units": "Btu/(h ft)",
      "source_range_y": [
        0,
        400
      ]
    },
    "delivery": {
      "x": "steam minus fluid temperature difference",
      "x_units": "degF",
      "source_range": [
        0,
        350
      ],
      "y": "delivery per foot of tracer",
      "y_units": "Btu/(h ft)"
    }
  },
  "insulation_basis": [
    {
      "nominal_pipe_group_in": "4 and smaller",
      "thickness_in": 1
    },
    {
      "nominal_pipe_group_in": "6 and larger",
      "thickness_in": 1.5
    }
  ],
  "unprovided": [
    "5in thickness group",
    "insulation material/conductivity/condition",
    "exact loss curve equations",
    "compound conductivity/contact coefficients",
    "unlisted wind interpolation",
    "ordinary length permissions25<psig<50/outsidebands",
    "Treatmentof supply/return leads inthis lengthtable"
  ],
  "wind_table": {
    "wind_mph": [
      5,
      10,
      15,
      20,
      25,
      30
    ],
    "loss_increase_percent": [
      7,
      9,
      11,
      12,
      13,
      14
    ],
    "formula": "qLw=qL0*(1+fw)"
  },
  "ordinary_delivery": {
    "expression": "qT=hc*A_prime*deltaT2;hc=0.4*(deltaT2/dt)^0.25",
    "geometric_reconstruction": "A_prime=pi*dt/12",
    "dt_units": "in, tubeoutside diameter",
    "area_units": "ft2/ft",
    "hc_units": "Btu/(h ft2 degF)",
    "coefficient_scope": "Empirical customary units, not dimensionless/SI transferable",
    "checks": [
      {
        "OD_in": 0.375,
        "deltaT2_F": 215,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9573197999205871,
        "delivery_Btu_per_h_ft": 41.31427573105054
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 240,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.011893487492697,
        "delivery_Btu_per_h_ft": 47.40412350084154
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 240,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.8722778554565729,
        "delivery_Btu_per_h_ft": 58.81934356181222
      }
    ],
    "plot_samples": [
      {
        "OD_in": 0.375,
        "deltaT2_F": 150,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.788854381999832,
        "delivery_Btu_per_h_ft": 26.343055241402727
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 155,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.803578705099505,
        "delivery_Btu_per_h_ft": 27.445218423978044
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 160,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.817950986347999,
        "delivery_Btu_per_h_ft": 28.55630731648596
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 165,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.831990260384723,
        "delivery_Btu_per_h_ft": 29.676111833531095
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 170,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.8457139928773398,
        "delivery_Btu_per_h_ft": 30.804433078460214
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 175,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.8591382517582868,
        "delivery_Btu_per_h_ft": 31.941082434469717
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 180,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.8722778554565729,
        "delivery_Btu_per_h_ft": 33.08588075351937
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 185,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.8851465017634497,
        "delivery_Btu_per_h_ft": 34.238657630090685
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 190,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.8977568803129874,
        "delivery_Btu_per_h_ft": 35.39925074885142
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 195,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.91012077113392,
        "delivery_Btu_per_h_ft": 36.567505296950024
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 200,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9222491313078036,
        "delivery_Btu_per_h_ft": 37.74327343303723
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 205,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9341521714281011,
        "delivery_Btu_per_h_ft": 38.92641380625219
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 210,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9458394232782301,
        "delivery_Btu_per_h_ft": 40.116791119363135
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 215,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9573197999205871,
        "delivery_Btu_per_h_ft": 41.31427573105054
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 220,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9686016492030047,
        "delivery_Btu_per_h_ft": 42.51874329299376
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 225,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.979692801535906,
        "delivery_Btu_per_h_ft": 43.73007441799077
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 230,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 1.9906006126664633,
        "delivery_Btu_per_h_ft": 44.94815437582467
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 235,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.001332002070279,
        "delivery_Btu_per_h_ft": 46.17287281400198
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 240,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.011893487492697,
        "delivery_Btu_per_h_ft": 47.40412350084154
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 245,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.0222912160975333,
        "delivery_Btu_per_h_ft": 48.64180408869497
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 250,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.032530992618459,
        "delivery_Btu_per_h_ft": 49.885815895341565
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 255,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.04261830485524,
        "delivery_Btu_per_h_ft": 51.13606370182566
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 260,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.052558346812108,
        "delivery_Btu_per_h_ft": 52.39245556520079
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 265,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.0623560397371743,
        "delivery_Btu_per_h_ft": 53.65490264481513
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 270,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.072016051289081,
        "delivery_Btu_per_h_ft": 54.92331904092111
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 275,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.081542813028959,
        "delivery_Btu_per_h_ft": 56.19762164452227
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 280,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.090940536411648,
        "delivery_Btu_per_h_ft": 57.477729997484424
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 285,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.10021322742927,
        "delivery_Btu_per_h_ft": 58.763566162037904
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 290,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.1093647000422577,
        "delivery_Btu_per_h_ft": 60.0550545988867
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 295,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.1183985885172856,
        "delivery_Btu_per_h_ft": 61.35212205321759
      },
      {
        "OD_in": 0.375,
        "deltaT2_F": 300,
        "area_ft2_per_ft": 0.09817477042468103,
        "hc_Btu_per_h_ft2_F": 2.1273183587779956,
        "delivery_Btu_per_h_ft": 62.654697447971685
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 150,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.664716580115127,
        "delivery_Btu_per_h_ft": 32.68663361499254
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 155,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.678419106738672,
        "delivery_Btu_per_h_ft": 34.054204832629914
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 160,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.6917940215049025,
        "delivery_Btu_per_h_ft": 35.43285112897956
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 165,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.7048590381417439,
        "delivery_Btu_per_h_ft": 36.82231182872181
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 170,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.717630410284391,
        "delivery_Btu_per_h_ft": 38.2223401396007
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 175,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.7301230908288443,
        "delivery_Btu_per_h_ft": 39.63270202466431
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 180,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.742350869877145,
        "delivery_Btu_per_h_ft": 41.05317519586368
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 185,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.7543264946603914,
        "delivery_Btu_per_h_ft": 42.48354821292744
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 190,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.7660617742137075,
        "delivery_Btu_per_h_ft": 43.92361967393968
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 195,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.7775676710890758,
        "delivery_Btu_per_h_ft": 45.37319748611128
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 200,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.788854381999832,
        "delivery_Btu_per_h_ft": 46.83209820693818
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 205,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.7999314089738683,
        "delivery_Btu_per_h_ft": 48.30014644735646
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 210,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.810807622335148,
        "delivery_Btu_per_h_ft": 49.777174329684385
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 215,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.821491316622848,
        "delivery_Btu_per_h_ft": 51.26302099413278
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 220,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.831990260384723,
        "delivery_Btu_per_h_ft": 52.75753214849973
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 225,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.842311740638763,
        "delivery_Btu_per_h_ft": 54.26055965637152
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 230,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.852462602679027,
        "delivery_Btu_per_h_ft": 55.77196115975164
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 235,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.862449285803135,
        "delivery_Btu_per_h_ft": 57.29159973255129
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 240,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.8722778554565729,
        "delivery_Btu_per_h_ft": 58.81934356181222
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 245,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.881954032219859,
        "delivery_Btu_per_h_ft": 60.35506565390922
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 250,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.8914832180063517,
        "delivery_Btu_per_h_ft": 61.89864356330349
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 255,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.9008705197891804,
        "delivery_Btu_per_h_ft": 63.44995914169794
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 260,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.91012077113392,
        "delivery_Btu_per_h_ft": 65.00889830568893
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 265,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.9192385517779778,
        "delivery_Btu_per_h_ft": 66.57535082122008
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 270,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.928228205467164,
        "delivery_Btu_per_h_ft": 68.14921010332806
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 275,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.9370938562338027,
        "delivery_Btu_per_h_ft": 69.73037302983168
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 280,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.9458394232782301,
        "delivery_Btu_per_h_ft": 71.31873976775668
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 285,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.954468634596182,
        "delivery_Btu_per_h_ft": 72.91421361141359
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 290,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.9629850394777681,
        "delivery_Btu_per_h_ft": 74.51670083115448
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 295,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.9713920199892152,
        "delivery_Btu_per_h_ft": 76.12611053193248
      },
      {
        "OD_in": 0.5,
        "deltaT2_F": 300,
        "area_ft2_per_ft": 0.1308996938995747,
        "hc_Btu_per_h_ft2_F": 1.979692801535906,
        "delivery_Btu_per_h_ft": 77.74235452087248
      }
    ],
    "heated_length_condition": "Straightparallel tracer serving samepipe heatedrun;extratubelength doesnotguaranteeuniformdelivery"
  },
  "tracer_identities": {
    "ordinary_OD_in": [
      0.375,
      0.5,
      0.75,
      1
    ],
    "ordinary_multiple": [
      "2 \u00d7 3/4in",
      "3 \u00d7 3/4in"
    ],
    "compound_OD_in": [
      0.375,
      0.5
    ]
  },
  "raw_tubing_pipe_mappings": [
    {
      "tube_OD_in": 0.375,
      "printed_multiplier": 0.862,
      "printed_result": "3/8in pipe",
      "application": "Direction/scope not reconstructed into a general correction formula"
    },
    {
      "tube_OD_in": 0.5,
      "printed_multiplier": 0.878,
      "printed_result": "1/2in pipe",
      "application": "Direction/scope not reconstructed into a general correction formula"
    },
    {
      "tube_OD_in": 0.75,
      "printed_multiplier": 0.921,
      "printed_result": "3/4in pipe",
      "application": "Direction/scope not reconstructed into a general correction formula"
    },
    {
      "tube_OD_in": 1,
      "printed_multiplier": 0.934,
      "printed_result": "1in pipe",
      "application": "Direction/scope not reconstructed into a general correction formula"
    }
  ],
  "cases": [
    {
      "name": "Water teaching case",
      "nominal_pipe_in": 4,
      "fluid_F": 35,
      "ambient_F": -10,
      "steam_F": 250,
      "printed_steam_psig": 30,
      "deltaT1_F": 45,
      "deltaT2_F": 215,
      "source_indication": "one3/8inOD",
      "limitations": [
        "30psig/250F saturated-steam premise conflict",
        "30psig lengthband absent",
        "35F separate from75F general water-maintenance discussion"
      ]
    },
    {
      "name": "Process teaching case",
      "nominal_pipe_in": 8,
      "fluid_F": 125,
      "ambient_F": 25,
      "steam_F": 365,
      "printed_steam_psig": 150,
      "deltaT1_F": 100,
      "deltaT2_F": 240,
      "source_indication": "one3/8inOD onstillairchart",
      "approximate_plot_reading_Btu_per_h_ft": 45,
      "authored_reading_bracket": [
        40,
        50
      ],
      "bracket_status": "Illustrative graphicalreading allowance,notmanufacturer tolerance orvalidateduncertainty",
      "wind_mph": 15,
      "wind_corrected_bracket": [
        44.4,
        55.5
      ],
      "three_eighth_result": "unresolved against bracket",
      "half_inch_result": "thermalcomparison candidate only; actualapplicability/steam/contact/length/drainage remain"
    }
  ],
  "ordinary_length_bands": [
    {
      "steam_psig_inclusive": [
        15,
        25
      ],
      "small_OD_in": [
        0.375,
        0.5
      ],
      "small_max_ft": 200,
      "large_OD_in": [
        0.75,
        1
      ],
      "large_max_ft": 300
    },
    {
      "steam_psig_inclusive": [
        50,
        200
      ],
      "small_OD_in": [
        0.375,
        0.5
      ],
      "small_max_ft": 200,
      "large_OD_in": [
        0.75,
        1
      ],
      "large_max_ft": 400
    }
  ],
  "compound_length": "selected manufacturer recommendation",
  "pocket_method": {
    "definition": "sum of upward rises along tracer flow;notnet elevation",
    "criterion": "numerical max feet=.40*steam gaugepressure inpsi",
    "pressure_psig": 150,
    "max_ft": 60,
    "hypothetical_rises_ft": [
      18,
      12,
      9
    ],
    "total_ft": 39,
    "isolated_comparison": "39<=60",
    "limits": "nottrapcapacity/drainageproof;separatefrom.5psi/ftdischargelift andother rise rules"
  },
  "object_projection": {
    "svg": "c14-tracing-method.svg",
    "structured_href": "c14-tracing-method.json",
    "figure": "15.2",
    "view": "Sourceexample-loss reading bracket and reconstructed ordinary-delivery curves,scopedsubranges;notfulldigitization",
    "wind_table": "15.3",
    "wind_table_anchor": "c14-tracing-wind"
  }
}