A horizontal pipeline carrying incompressible oil (density ) narrows smoothly from a…

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A horizontal pipeline carrying incompressible oil (density 8.5×102 kg m−38.5\times10^{2}\,\text{kg\,m}^{-3}) narrows smoothly from a diameter of 12 cm to 4.0 cm. A pressure sensor indicates that the gauge pressure in the wider section exceeds that in the narrower section by 65 kPa. Assume steady flow and negligible frictional losses. (a) Calculate the average speed of the oil in the 12 cm section. (b) Determine the volume flow rate through the pipe. (c) Find the average speed of the oil in the 4.0 cm section.

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