Heat conduction in a new Eulerian flow model

• Autorzy: Morris M. L.

Identyfikatory

DOI

10.24423/aom.4451

• Języki publikacji: EN

Abstrakty

EN

M. Svärd has proposed the Eulerian flow model (EFM) [1] as a replacement for the traditional Navier–Stokes–Fourier (NS) equations. The EFM is equipped with a mass diffusion term in its mass balance law, along with other features, which lead to its satisfying the property of weak well-posedness in the special case of ideal gases with temperature-independent specific heats. Although this property is advantageous mathematically and numerically, it can be shown that the EFM fails to model certain types of problems physically. Here, as an example of the latter, steady-state problems of pure heat conduction are used to show that, when compared with predictions from Fourier’s law, the EFM substantially underestimates the magnitude of the heat flux in gases.

Słowa kluczowe

EN

heat conduction in fluid; heat flow measurement; alternative fluid dynamics model; fluid model validation

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2024
• Tom: Vol. 76, nr 1-2
• Strony: 191--202
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Morris M. L.

• Albuquerque, New Mexico, U.S.A.

Bibliografia

• 1. M. Svärd, A new Eulerian model for viscous and heat conducting compressible flows, Physica A, 506, 350–375, 2018.
• 2. M. Svärd, Analysis of an alternative Navier-Stokes system: weak entropy solutions and a convergent numerical scheme, technical report, 2021, ResearchGate, preprint, doi: 10.13140/RG.2.2.16184.47366.
• 3. V. Dolej˘sí, M. Svärd, Numerical study of two models for viscous compressible fluid flows, Journal of Computational Physics, 427, 110068, 2021.
• 4. M. Morris, Analysis of an alternative Navier-Stokes system: attenuation of sound waves, ResearchGate preprint, doi: 10.13140/RG.2.2.29383.01442, 2021.
• 5. M. Morris, Analysis of an alternative Navier–Stokes system: Rayleigh–Brillouin light scattering, ResearchGate preprint, doi: 10.13140/RG.2.2.32239.92321, 2022.
• 6. M. Morris, Sound Attenuation in the Modified Navier–Stokes Equations of Svärd, doi: 10.13140/RG.2.2.11772.92809, 2023.
• 7. R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport Phenomena, 2nd ed., John Wiley & Sons, Inc., New York, 2002.
• 8. N.B. Vargaftik, Handbook of Thermal Conductivity of Liquids and Gases, 1st ed., CRC Press, Boca Raton, 1993.
• 9. M. Greenspan, Rotational relaxation in nitrogen, oxygen, and air, Journal of the Acoustical Society of America, 31, 2, 155–160, 1959.
• 10. W.P. Teagan, G.S. Springer, Heat-transfer and density-distribution measurements between parallel plates in the transition regime, The Physics of Fluids, 11, 3, 497–506, 1968.
• 11. H.B. Callen, Thermodynamics, John Wiley & Sons, New York, London, 1962.
• 12. M. Svärd, K. Munthe, A study of the diffusive properties of a modified compressible Navier–Stokes model, Meccanica, 58, 1083–1097, 2023.