Pressure Vessel Volume Calculator
Liquid Holdup · Engineering Tool · Migatech
Inputs
01
OrientationA
Vessel HeadB
Diametermm · D
mm
Tan-to-Tan Lengthmm · L
mm
Liquid Level (from bottom)mm · h
mm
Level exceeds vessel height — clamped to maximum.
Schematic
VERTICAL · ELLIPSOIDAL
Schematic · Not to scale
FILL 0.0%
Axis · VERTICAL
h / H
Liquid
Vapour space
Results
m³
Filled VolumeV_fill
0.000m³
0.0 litres
0%50%100%
Total VolumeV_total
0.000m³
0.0 litres
Head Depth
— mm
Head Vol (each)
— m³
Cyl Volume
— m³
Fill Ratio
—
Assumptions & Formulae
Ellipsoidal — 2:1 semi-elliptical: head depth
D/4, full head volume πD³/24.Spherical — hemispherical: head depth
D/2, full head volume πD³/12.Torispherical — ASME F&D standard: crown radius
L = D, knuckle radius r = 0.06·D. Depth L − √((L−r)² − (D/2−r)²). Partial fill computed by Simpson’s-rule integration of the crown + knuckle cross-section.Flat — no dish volume; total = cylinder only.
Horizontal heads — partial fill integrated numerically over axial slices, each treated as a circular segment. Cylinder uses standard segment formula
A = ½R²(θ − sin θ) with θ = 2·acos((R−h)/R).For process-engineering estimation. Verify against mechanical drawings or vendor data for custody-transfer or safety-critical sizing.