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Related Concept Videos

Conservation of Energy in Control Volume01:14

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Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
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Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
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When solving problems using the energy conservation law, the object (system) to be studied should first be identified. Often, in applications of energy conservation, we study more than one body at the same time. Second, identify all forces acting on the object and determine whether each force doing work is conservative. If a non-conservative force (e.g., friction) is doing work, then mechanical energy is not conserved. The system must then be analyzed with non-conservative work. Third, for...
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Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
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Energy conversion theorems for some linear steady states.

L A Arias-Hernandez1, G Valencia-Ortega2, C R Martinez-Garcia3

  • 1Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ciudad de México 07738, México.

Physical Review. E
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Summary
This summary is machine-generated.

This study explores energy conversion theorems for isothermal systems, revealing trade-offs between design and operation modes. It establishes an energetic hierarchy for power output, efficiency, and dissipation across various operating regimes.

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Area of Science:

  • Thermodynamics
  • Energy Conversion
  • Non-equilibrium Systems

Background:

  • Real energy converters inevitably produce entropy, leading to energetic degradation of systems.
  • Designing converters for minimum entropy production yields zero power output and efficiency.
  • Non-equilibrium thermodynamics provides a framework for analyzing entropy production in degrading systems.

Purpose of the Study:

  • Establish energy conversion theorems for (2x2)-linear isothermal energy converters, analogous to Prigogine's theorem.
  • Reveal trade-offs between converter design and various operating modes.
  • Investigate stability of objective functions driving thermodynamic constraints.

Main Methods:

  • Formulated energy conversion theorems with constrained forces for isothermal systems.
  • Utilized a two-mesh electric circuit as an experimental model.
  • Analyzed system behavior across multiple operating regimes: maximum power output (MPO), maximum efficient power (MPη), maximum omega function (MΩ), maximum ecological function (MEF), maximum efficiency (Mη), and minimum dissipation function (mdf).

Main Results:

  • Demonstrated the validity of the established energy conversion theorems using the electric circuit model.
  • Revealed a distinct energetic hierarchy among power output, efficiency, and dissipation function.
  • Showcased stability of objective functions associated with thermodynamic constraints.

Conclusions:

  • The developed theorems offer insights into optimizing energy converter design and operation.
  • Understanding the energetic hierarchy is crucial for balancing performance metrics like power and efficiency.
  • The study provides a theoretical and experimental basis for analyzing complex energy conversion processes.