Deeper Fluid Budget Scans

Bernoulli Height Pressure Three-Row Scan

Height rises only by spending pressure in a checked ideal budget. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Low outlet leaves pressure high

Speed stays v=4 m/s. Height h=0 m adds height term 0 pascals, leaving pressure 84 pascals.

84+16+0=10084+16+0=100
Bernoulli height-pressure scanThe height term is source-bound before totals match.PvPvrho=2 kg/m^3g=10 m/s^2left P=96 Paleft v=2 m/sleft h=0 mleft K=4 Paleft Z=0 Paleft total=100 Paright P=84 Paright v=4 m/sright h=0 mright K=16 Paright Z=0 Paright total=100 Pa

One metre of height costs twenty pascals

Speed stays v=4 m/s. Height h=1 m adds height term 20 pascals, leaving pressure 64 pascals.

64+16+20=10064+16+20=100
Bernoulli height-pressure scanThe height term is source-bound before totals match.PvPvrho=2 kg/m^3g=10 m/s^2left P=96 Paleft v=2 m/sleft h=0 mleft K=4 Paleft Z=0 Paleft total=100 Paright P=64 Paright v=4 m/sright h=1 mright K=16 Paright Z=20 Paright total=100 Pa

Three metres of height costs sixty pascals

Speed stays v=4 m/s. Height h=3 m adds height term 60 pascals, leaving pressure 24 pascals.

24+16+60=10024+16+60=100
Bernoulli height-pressure scanThe height term is source-bound before totals match.PvPvrho=2 kg/m^3g=10 m/s^2left P=96 Paleft v=2 m/sleft h=0 mleft K=4 Paleft Z=0 Paleft total=100 Paright P=24 Paright v=4 m/sright h=3 mright K=16 Paright Z=60 Paright total=100 Pa