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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Generalized Entropy Generation Expressions in Gases.

Michael H Peters1

  • 1Department of Chemical and Life Science Engineering, Virginia Commonwealth University, 601 West Main St., Richmond, VA 23284, USA.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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This study presents a generalized method for calculating entropy generation in gases, applicable to any gas state. This approach simplifies analysis across conservation equations and reveals new insights into gas dynamics and uncertainty.

Area of Science:

  • Thermodynamics and Fluid Dynamics
  • Statistical Mechanics

Background:

  • Traditional methods for entropy generation analysis in gases often rely on specific expansion methods like Chapman-Enskog.
  • These methods are typically limited to perturbed, local equilibrium states.

Purpose of the Study:

  • To generalize methods for calculating entropy generation in gases, removing the dependency on specific expansion techniques.
  • To enable the study of entropy generation across arbitrary gas states and conservation equations.

Main Methods:

  • Development of a generalized method based on scaling analysis.
  • Consistent application across conservation equations for mass, momentum, energy, and entropy.

Main Results:

  • Demonstrated theoretical possibility to alter entropy generation expressions and outcomes by changing gas state.
Keywords:
entropy fluxentropy generationentropy generation in gasessecond law of thermodynamicsstatistical mechanics of entropy

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  • Identified potential applications in hypersonic and hyper-equilibrium state flows.
  • Established a link between entropy generation and uncertainty from approximation errors in density function expansions.

    • Conclusions:

    • The generalized scaling analysis provides a more versatile framework for studying entropy generation in gases.
    • This method offers new perspectives on gas dynamics, particularly for non-equilibrium and high-speed flows.
    • Entropy generation in gases is associated with information uncertainty, offering an informatics perspective.