Rankine Cycle Efficiency Calculator with Temperature

Efficiency Formula:

\[ \eta = 1 - \frac{T_c}{T_h} \]

Cycle Efficiency (η):

Definition: This calculator determines the theoretical maximum efficiency of a Rankine cycle heat engine based on reservoir temperatures.

Purpose: It helps engineers and thermodynamics students analyze and optimize power plant performance.

The calculator uses the Carnot efficiency formula:

\[ \eta = 1 - \frac{T_c}{T_h} \]

Where:

\( \eta \) — Cycle efficiency (dimensionless, typically expressed as percentage)
\( T_c \) — Cold reservoir temperature (Kelvin, K)
\( T_h \) — Hot reservoir temperature (Kelvin, K)

Explanation: The efficiency represents the maximum possible conversion of heat energy to work between two temperature reservoirs.

Details: Understanding this efficiency helps in designing more effective power plants and thermal systems.

Tips: Enter both temperatures in Kelvin. T_h must be greater than T_c for meaningful results.

Q1: Why must temperatures be in Kelvin?
A: The Kelvin scale is absolute and ensures correct ratio calculations (no negative values).

Q2: What's a typical efficiency range?
A: Practical Rankine cycles achieve 30-40% efficiency, lower than the theoretical maximum.

Q3: How can I improve efficiency?
A: Increase T_h (boiler temperature) or decrease T_c (condenser temperature).

Q4: Is this the actual cycle efficiency?
A: No, this is the theoretical maximum. Real systems have lower efficiency due to irreversibilities.

Q5: What if I get efficiency > 100%?
A: Check your inputs - T_c must be less than T_h for valid results.