Fluid Relation Cross Scans

Hydrostatic Depth Three-Row Scan

Depth changes pressure while density 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

Two metres gives forty pascals

Density 2 and training gravity 10 stay fixed; depth 2 metres gives pressure 40 pascals.

ΔP=2×10×2=40\Delta P=2\times10\times2=40
Hydrostatic scan rowDepth and pressure labels are source-bound.liquiddepthpressurerho=2 kg/m^3g=10 m/s^2h=2 mdP=40 Pa

Double depth doubles the pressure

Density 2 and training gravity 10 stay fixed; depth 4 metres gives pressure 80 pascals.

ΔP=2×10×4=80\Delta P=2\times10\times4=80
Hydrostatic scan rowDepth and pressure labels are source-bound.liquiddepthpressurerho=2 kg/m^3g=10 m/s^2h=4 mdP=80 Pa

Five metres closes at one hundred pascals

Density 2 and training gravity 10 stay fixed; depth 5 metres gives pressure 100 pascals.

ΔP=2×10×5=100\Delta P=2\times10\times5=100
Hydrostatic scan rowDepth and pressure labels are source-bound.liquiddepthpressurerho=2 kg/m^3g=10 m/s^2h=5 mdP=100 Pa