Area-speed geometry changes while the same flow is conserved. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Wide inlet and half-width outlet close

Inlet area 6 times speed 2 and outlet area 3 times speed 4 both close to flow 12.

6×2=123×4=126\times2=12\quad3\times4=12
Continuity geometry scanDifferent area-speed pairs share one checked flow.A1v1A2v2A1=6 m^2v1=2 m/sA2=3 m^2v2=4 m/sQ=12 m^3/s

Halving area doubles the needed speed

Inlet area 4 times speed 3 and outlet area 2 times speed 6 both close to flow 12.

4×3=122×6=124\times3=12\quad2\times6=12
Continuity geometry scanDifferent area-speed pairs share one checked flow.A1v1A2v2A1=4 m^2v1=3 m/sA2=2 m^2v2=6 m/sQ=12 m^3/s

Narrow outlet needs the largest speed

Inlet area 3 times speed 4 and outlet area 1 times speed 12 both close to flow 12.

3×4=121×12=123\times4=12\quad1\times12=12
Continuity geometry scanDifferent area-speed pairs share one checked flow.A1v1A2v2A1=3 m^2v1=4 m/sA2=1 m^2v2=12 m/sQ=12 m^3/s