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 Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 10, Pages 1666–1674 (Mi zvmmf10793)

Solution of the linearized problem of heat and gas mass transfer in the gap between two cylindrical surfaces under a longitudinal temperature gradient

O. V. Germider, V. N. Popov

Lomonosov Northern (Arctic) Federal University, Arkhangelsk, Russia

Abstract: A method is proposed for computing heat and mass fluxes for rarefied gas flow in a duct between two eccentric cylinders. A constant temperature gradient is maintained in the duct. The kinetics of the process is described by the Williams kinetic equation, and the boundary condition on the duct wall is specified using the diffuse reflection model. The deviation of the gas state from equilibrium is assumed to be small. Heat flux profiles in the duct are constructed. The heat and mass fluxes over the duct cross section are found. The resulting expressions are analyzed in the transition to the free-molecular and hydrodynamic regimes.

Key words: duct gas flow, Williams kinetic equation, models of boundary conditions, Knudsen number.

 Funding Agency Grant Number Russian Foundation for Basic Research 16-29-15116_îôè_ì

DOI: https://doi.org/10.31857/S004446690003586-5

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English version:
Computational Mathematics and Mathematical Physics, 2018, 58:10, 1610–1619

Bibliographic databases:

UDC: 517.957

Citation: O. V. Germider, V. N. Popov, “Solution of the linearized problem of heat and gas mass transfer in the gap between two cylindrical surfaces under a longitudinal temperature gradient”, Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018), 1666–1674; Comput. Math. Math. Phys., 58:10 (2018), 1610–1619

Citation in format AMSBIB
\Bibitem{GerPop18} \by O.~V.~Germider, V.~N.~Popov \paper Solution of the linearized problem of heat and gas mass transfer in the gap between two cylindrical surfaces under a longitudinal temperature gradient \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2018 \vol 58 \issue 10 \pages 1666--1674 \mathnet{http://mi.mathnet.ru/zvmmf10793} \crossref{https://doi.org/10.31857/S004446690003586-5} \elib{https://elibrary.ru/item.asp?id=36715792} \transl \jour Comput. Math. Math. Phys. \yr 2018 \vol 58 \issue 10 \pages 1610--1619 \crossref{https://doi.org/10.1134/S0965542518100056} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000449497100007} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056131749} 

• http://mi.mathnet.ru/eng/zvmmf10793
• http://mi.mathnet.ru/eng/zvmmf/v58/i10/p1666

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. O. V. Germider, V. N. Popov, “Metod kollokatsii i ego primenenie dlya resheniya linearizovannogo uravneniya Kholveya”, Matem. modelirovanie, 32:9 (2020), 3–19