๐Ÿ”ฅ Rankine Cycle โ€” Regenerative (Open/Closed FWH)

Analyze regenerative Rankine steam cycles with 1 or 2 extraction stages. Compare open and closed feedwater heaters. Compute extraction fraction y, thermal efficiency, back-work ratio, and power output.

๐Ÿ“ Configuration

๐Ÿ”ฅ Boiler
Must exceed Tsat(Pboiler).
โ„๏ธ Condenser
๐Ÿ”ง Feedwater Heaters
Used only for 2-extraction case.
โš™๏ธ Efficiencies & Flow
Key Equations:

ฮทth = Wnet/Qin
Open FWH: yยทhext+(1โˆ’y)ยทhfw = hf,sat
BWR = Wpump/Wturbine
Wpump = vfฮ”P/ฮทp

๐Ÿ“Š Results

Configure inputs and click Analyze to view results.

๐Ÿ“˜ Methodology

Regenerative Rankine

Extracting steam from the turbine to preheat feedwater raises average temperature of heat addition, improving thermal efficiency. Each extraction stage adds ~1โ€“3% efficiency gain.

Open vs Closed FWH

Open (direct contact) FWH mixes extracted steam with feedwater โ€” simple, effective, requires separate pump per stage. Closed (shell-tube) FWH keeps streams separate โ€” more complex but allows single pump.

Assumptions

  • Simplified water saturation curve fits (educational).
  • Isentropic efficiencies for turbine and pump.
  • Saturated liquid exits each FWH.
  • Steady-state, steady-flow.
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