pitmath
heat-and-draft models, not volume ratios
Altitude 7,300 ft · Clark, CO
UNCALIBRATED. Heat-loss coefficients are literature values, not fitted to reference pits — fuel burn below reads roughly 40–50% high. Band thresholds are engineering judgment, not fitted data. Directionally sound, provisional throughout.
coefficients v0.1-draft

Draft & Stack

Sizes stack diameter and height from a physical draft model, driven by mass flow rather than CFM — the only way an altitude deficit shows up at all.

A physics — stated as fact
B empirical — shown with range

Conditions

Geolocated from your last visit — Clark, CO. Never defaults to sea level.

Cook chamber

Computed, not entered 291 gal internal · 67 ft² shell surface

Stack

Discrete nominal sizes only — no 7″ NPS exists (D8).

Throat & RF plate raw measurements

Areas are computed internally — never enter a square-inch figure here (D3).

Fuel

Overall build rating Unoptimized
Optimal
Usable
Subpar
Unoptimized

Limited by throat (0.54×) — stack (0.74×) and firebox (0.62×) are also subpar. A pit runs at its worst subsystem, not its average. See the bundled fix below before cutting anything.

Stack draft A
Subpar
Throat B
Unoptimized
RF gap B
Optimal today
now after throat fix
Draft pressureA
0.012 in w.c.
Air suppliedA
190 lb/hr
Air requiredA
258 lb/hr
Fuel burnB
11.7 lb/hr
real pits run 5–8 lb/hr — uncalibrated
Chamber volumeA
291 gal
Throat areaA
120 in²
RF gap areaA
130 in²
Warm-upB
~24 min
Altitude correction · Tier A · no calibration required

31% more stack area required at 7,300 ft

A chimney is a density-difference engine. At altitude the draft that drives flow weakens — but so does the inertia of the gas being moved. The two effects cancel exactly in velocity: your stack gas moves at the same speed it would at sea level. They do not cancel in mass. At 7,300 ft you're delivering 76% of sea-level oxygen mass through an identical stack at an identical velocity — the deficit is invisible in CFM and shows up only when you compare mass flow, which is why this calculator never compares CFM to CFM.

Sea level minimum
6.3″ ID
At 7,300 ft
7.0″ ID
Velocity, both cases
378 ft/min
Calculated minimum rounds up to a real pipe size — 7″ isn't stocked specify 8″ NPS welded pipe

Retrofit recommendations

1

Stack undersized0.74× required mass flow. Step up to 8″ NPS pipe, or add height: draft scales roughly with the square root of stack height, so ~12″ more height recovers some margin without a diameter change.

2

Throat is the choke point120 in² against 224 in² required. Nothing downstream fixes an undersized throat; it starves every calculation after it.

3

RF gap reads Optimal only because the throat is starving it. Open the throat alone and the gap ratio falls from 1.09× to 0.58× — Unoptimized. Widen the gap to at least 224 in² (≈7.7″ at the current 29″ plate width) in the same pass.

Why bundled (D4): enlarging an upstream opening moves the choke point downstream. Cutting the throat without the gap makes this pit worse before it's better — these are one job, priced and scheduled together.