Deeper Fluid Budget Scans

Hydrostatic Density Three-Row Scan

A hydrostatic-density scan varies fluid density across three rows at fixed depth, showing how pressure p = rho * g * h rises with density row by row. The arithmetic is exact only for the stated densities, depths, pressures, and rows in the ideal static incompressible-fluid model. Real measurements add viscosity, turbulence, compressibility, pipe/container geometry, calibration, elevation reference, finite precision, and measurement uncertainty.

Density changes pressure while depth and gravity stay fixed. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Light fluid gives thirty pascals

Depth h=3 m and gravity g=10 metres per second squared stay fixed. Density rho=1 kilogram per cubic metre gives pressure 30 pascals.

ΔP=1×10×3=30\Delta P=1\times10\times3=30
Hydrostatic density scanDensity, depth, and pressure labels are checked.fluiddepthpressurerho=1 kg/m^3g=10 m/s^2h=3 mdP=30 Pa

Double density doubles the pressure

Depth h=3 m and gravity g=10 metres per second squared stay fixed. Density rho=2 kilograms per cubic metre gives pressure 60 pascals.

ΔP=2×10×3=60\Delta P=2\times10\times3=60
Hydrostatic density scanDensity, depth, and pressure labels are checked.fluiddepthpressurerho=2 kg/m^3g=10 m/s^2h=3 mdP=60 Pa

Dense fluid triples the light reading

Depth h=3 m and gravity g=10 metres per second squared stay fixed. Density rho=3 kilograms per cubic metre gives pressure 90 pascals.

ΔP=3×10×3=90\Delta P=3\times10\times3=90
Hydrostatic density scanDensity, depth, and pressure labels are checked.fluiddepthpressurerho=3 kg/m^3g=10 m/s^2h=3 mdP=90 Pa