A horizontal pipeline consists of three short sections of negligible length but…

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A horizontal pipeline consists of three short sections of negligible length but different diameters placed in series: Section 1 (

30\,\text{cm}

diameter) leads to Section 2 (

15\,\text{cm}

diameter) which in turn leads to Section 3 (

20\,\text{cm}

diameter). Water enters Section 1 with a velocity of

1.2\,\text{m\,s}^{-1}

and a gauge pressure of

2.0\times10^{5}\,\text{Pa}

. (a) Calculate the velocities of water in Sections 2 and 3. (b) Determine the gauge pressures in Sections 2 and 3. (c) A U-tube manometer containing oil of density

800\,\text{kg\,m}^{-3}

connects Sections 1 and 2. Find the difference in oil levels in the two limbs of the manometer.

Related theory

Fluid Dynamics
Bernoulli's Principle
Fluids
Fluid flow and Bernoulli's theorem
Mechanical Properties of Fluids

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