Oil of specific gravity flows through a diameter pipeline
PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
Oil of specific gravity 0.8 flows through a 0.20m diameter pipeline. A stagnation tube inserted at the centreline and a static pressure tapping on the pipe wall are connected to a mercury manometer. The static tapping is situated 0.30m vertically below the stagnation tube entry point. During steady flow the mercury columns differ in level by 18cm. Take g=9.8m s−2 and density of mercury =13600kgm−3.
(i) Determine the average speed of oil in the pipeline accounting for the vertical separation of the tappings.
(ii) Calculate the volumetric flow rate through the pipe.
(iii) If the vertical separation were mistakenly ignored, find the percentage error that would arise in the calculated speed.