Fluid Velocity in Bent Pipe

An ideal fluid of density 800kgm−3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to ‌

a

2

. The pressure difference between the wide and narrow sections of pipe is 4100‌Pa. At wider section, the velocity of fluid is ‌

√x

6

ms−1 for x= (Given g=10ms−2 )