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Thermodynamic Exergy Destruction (Gouy-Stodola) Calculator

The second law of thermodynamics dictates that all real processes generate entropy due to internal irreversibilities (friction, throttling, heat transfer across finite temperature differences).

Surrounding environmental temperature (typically 298.15 K / 25 °C).

Rate of entropy produced by process irreversibilities.

Optional overall plant heat rate for calculating Second-Law efficiency loss.

Calculated Result
74.54 kW

Exergy Destruction Rate (Ẋ_dest)

Mechanical Equivalent

100.0 hp

Ambient Dead-State Temp (T₀)

298.1 K

Entropy Generation Rate (Ṡ_gen)

0.250 kW/K

Second-Law Fuel Loss

29.81%

Calculation Breakdown

  1. Gouy-Stodola Theorem: Ẋ_dest = T₀ · Ṡ_gen298.15 K × 0.25 kW/K = 74.54 kW
  2. Power Conversion (1 kW = 1.341 hp)100.0 hp

What Is the Thermodynamic Exergy Destruction (Gouy-Stodola) Calculator?

Exergy represents the maximum theoretical useful shaft work obtainable as a system comes into mutual equilibrium with its environment.

Exergy destruction is the permanently lost work capacity caused by thermodynamic irreversibility.

How Does the Thermodynamic Exergy Destruction (Gouy-Stodola) Calculator Work?

Multiplies ambient reference temperature T0 (in Kelvin) by entropy generation rate.

Converts destroyed exergy into kilowatts and mechanical horsepower.

Computes the second-law percentage loss relative to incoming heat input.

Thermodynamic Exergy Destruction (Gouy-Stodola) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\dot{X}_{destroyed} = T_0 \cdot \dot{S}_{gen}, \quad \dot{W}_{lost} = T_0 \left( \sum \dot{m}_{out} s_{out} - \sum \dot{m}_{in} s_{in} - \sum \frac{\dot{Q}_k}{T_k} \right)

Gouy-Stodola relation linking entropy production to exergy destruction rate.

How to Use the Thermodynamic Exergy Destruction (Gouy-Stodola) Calculator

  1. Enter the surrounding dead-state ambient temperature in Kelvin.
  2. Enter the calculated entropy generation rate in kW/K.
  3. Optionally provide thermal fuel input rate to find percentage loss.

Step-by-Step Example Calculation

Industrial Gas Turbine Combustion Chamber

Input Values:

ambientTempKelvin:298.15
entropyGenerationRateKWK:0.25
heatInputRateKw:250
Worked Steps: Evaluating exergy destruction during high-temperature fuel combustion.

Understanding Your Result

Exergy destruction pinpoints the exact locations and mechanisms of true thermodynamic inefficiency.

Unlike first-law heat loss, exergy destruction cannot be recovered.

Factors That Affect the Result

  • Temperature difference: Heat transfer across large temperature gradients generates massive entropy.
  • Fluid friction and throttling: Pressure drops without work extraction destroy exergy directly.

When Should You Use This Calculator?

  • Exergoeconomic optimization of power plants, cryogenic refrigerators, and chemical refineries.
  • Comparing combustion chambers, heat exchangers, and expanders on a second-law basis.

Assumptions & Limitations

  • Assumes constant, uniform ambient dead-state temperature T0.
  • Steady-state flow system.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Fundamental theorem of engineering thermodynamics derived from combined 1st and 2nd laws.

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