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A liquid is stored in a vessel at 102 bar (absolute) from where it is transferred...

A liquid is stored in a vessel at 102 bar (absolute) from where it is transferred (at 1.5 kg/s) into another vessel via a 5 cm steel pipe (friction factor = 0.025). The pressure above the liquid surface in the second vessel is maintained at 2000 Pa (gauge). The pipe length between the two vessels is 200 m. Total minor head losses due to fittings, valves as well as entry and exit losses amount to 4,000 equivalent length in pipe diameters. The liquid level in the first vessel is 25 m higher than the liquid level in the second vessel. The specific gravity of the liquid is 0.9 while its viscosity is 0.76 mPa s. In order to recover excess energy, a turbine is integrated into the pipeline. (i) Calculate the Reynolds number for this liquid flow. (ii) Describe the characteristics of this flow in the context of its flow regime (laminar or turbulent). (iii) Estimate the power that can be recovered using the turbine (assuming it is 80% efficient).

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