Physics-Informed Neural Networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation

Author:

De Florio MarioORCID,Schiassi EnricoORCID,Ganapol Barry D.ORCID,Furfaro RobertoORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference69 articles.

1. Reynolds, O.: Xviii. on certain dimensional properties of matter in the gaseous state.-Part I. Experimental researches on thermal transpiration of gases through porous plates and on the laws of transpiration and impulsion, including an experimental proof that gas is not a continuous plenum.-part ii. on an extension of the dynamical theory of gas, which includes the stresses, tangential and normal, caused by a varying condition of gas, and affords an explanation of the phenomena of transpiration and impulsion. Philos. Trans. R. Soc. Lond. 170, 727–845 (1879)

2. Maxwell, J.C.: Iii. on stresses in rarefied gases arising from inequalities of temperature. Proc. R. Soc. Lond. 27(185–189), 304–308 (1878)

3. Knudsen, M.: Die gesetze der molekularströmung und der inneren reibungsströmung der gase durch röhren. Ann. Phys. 333(1), 75–130 (1909)

4. Knudsen, M.: Thermischer molekulardruck der gase in röhren. Ann. Phys. 338(16), 1435–1448 (1910)

5. Loyalka, S.: Comments on “poiseuille flow and thermal creep of a rarefied gas between parallel plates”.” Phys. Fluids 17(5), 1053–1055 (1974)

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