Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions
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Summary
This work illustrates how this approach can be applied by leveraging existing components of the theory by enabling higher fidelity models for applications such as turbulent multiphase flows, and should serve to make TCAT more accessible for applications.
- Type
- article
- Published
- 2018-04-01
- Cited by
- 6
- References
- 32
- Access
- Open access
- OpenAlex
- https://openalex.org/W2796236652
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:4835326
Keywords
Computer science, Entropy (arrow of time), Applied mathematics, Mathematical optimization, Statistical physics
References
- Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems
- Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context: Based on a Concise Thermodynamic Analysis
- The method of volume averaging
- Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems
- Consistent thermodynamic formulations for multiscale hydrologic systems: Fluid pressures
- Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 8. Interface and Common Curve Dynamics
- Averaging Theory for Description of Environmental Problems: What Have We Learned?
- ADVANCES IN THEORY OF FLUID MOTION IN POROUS MEDIA
- An assessment of multiphase flow models using the second law of thermodynamics
- Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 9. Transition Region Models
- Is turbulent motion chaos or order? Is the hydrodynamic or the kinetic description of turbulent motion more natural?
- Modeling two-fluid-phase flow and species transport in porous media
- DARCY'S LAW AND THE FIELD EQUATIONS OF THE FLOW OF UNDERGROUND FLUIDS
- Mechanics and thermodynamics of diffusion
- Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 1. Motivation and overview
- Entropy-based nonlinear viscosity for Fourier approximations of conservation laws
- A generalization of averaging theorems for porous medium analysis
- Double-Averaging Concept for Rough-Bed Open-Channel and Overland Flows: Theoretical Background
- Dynamics of Fluids in Porous Media
- Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 5. Single-Fluid-Phase Transport
Cited by
- Theory and Applications of Macroscale Models in Porous Media
- An extension of Biot's theory with molecular influence based on mixture coupling theory: Mathematical model
- Simulation of cancer prognosis
- A physically-based entropy production rate method to simulate sharp-front transport problems in porous medium systems
- From interface dynamics to Darcy scale description of multiphase flow in porous media.
- Phenomenological Thermodynamics of Irreversible Processes
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