Water flows though a vertical contraction from a pipe of

Water flows though a vertical contraction from a pipe of diameter d to another of diameter d/2 (see fig.) The flow velocity at the inlet to the contraction is 2 m/s and pressure 200 kN/m². If the height of the contraction measures 2m,then pressure at the exit of the contraction will be very nearly

From continuity equation,
A₁ v₁ = A₂ v₂

or	π	× d² × 2 =	π		d		²	× v²
	4		4		2

or v₂ = 8 m/s.
Applying Bernoulli's theorem,

	p₁	+	v²₁	+ z₁ =	p₂	+	p²₂	+ z₂
	w		2g		w		2g

or	200 × 1000	+	(2)²	+ 0
	9810		2 × 9.81

or	p₂	+	(8)²	+ 2
	w		2 × 9.81

or p₂ =150.38 kN/m²