Question 1 of 3 · Steady-Flow Energy and Devices · Advanced · About 22 min

Shaft power from a high-speed turbine

A steady, adiabatic turbine passes $3.10\,\mathrm{kg/s}$ of gas. Its inlet and outlet enthalpies are $3220$ and $2650\,\mathrm{kJ/kg}$ , flow speeds are $55$ and $125 m / s$ , and outlet elevation is higher than inlet. Take . Determine specific shaft work output and turbine power, retaining changes in kinetic and potential energy.

A turbine converts a fluid enthalpy drop into shaft work while outlet speed rises. — Schematic, not to scale unless dimensions are given.

Given

Mass flow 3.10 kg/s
h1 3220 and h2 2650 kJ/kg
V1 55 and V2 125 m/s
Outlet elevation 5.0 m higher
g 9.81 m/s²

Find

Specific output work
Shaft power output

Assumptions

Steady and adiabatic; no other inlet or outlet; neglect heat transfer.

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Shaft power from a high-speed turbine

Given

Find

Assumptions

Worked solution