Geodesic
Analytical and numerical analysis of nonisothermal compressible rarefied gas flow between parallel plates
Theoretical and applied mechanics, Tome 50 (2023) no. 2.

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When dimensions of the flow domain become small, such as in the micro-electro-mechanical systems (MEMS) and nano-electro-mechanical systems (NEMS), rarefaction effects become more prominent. Flows that we consider are in the continuum and rarefied gas flow regimes. We provide analytical solutions for compressible nonisothermal flows between parallel plates, with different temperatures. Comparison of results between our analytical solutions and commercial CFD code Ansys Fluent is performed. We analyze four cases with constant and variable transport coefficients in both continuum and rarefied gas flow regimes. The analysis reveals that very good agreement is present in the continuum flow regime, as well as in the slip flow regime. This outcome not only validates the present study but also opens up opportunities to investigate cases where analytical solutions are unobtainable.
Keywords: analytical solutions, perturbation methods, rarefied gas flow, slip flow, continuum flow, nonisothermal, compressible 
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     author = {Petar V. Vuli\'cevi\'c and Sne\v{z}ana S. Mili\'cev and Nevena D. Stevanovi\'c},
     title = {Analytical and numerical analysis of nonisothermal compressible rarefied gas flow between parallel plates},
     journal = {Theoretical and applied mechanics},
     pages = {185 - 204},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2023},
     url = {http://geodesic.mathdoc.fr/item/TAM_2023_50_2_a7/}
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Petar V. Vulićević; Snežana S. Milićev; Nevena D. Stevanović. Analytical and numerical analysis of nonisothermal compressible rarefied gas flow between parallel plates. Theoretical and applied mechanics, Tome 50 (2023) no. 2. http://geodesic.mathdoc.fr/item/TAM_2023_50_2_a7/