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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 11, Pages 1920–1931 (Mi zvmmf12091)

Mathematical physics

Separation of gas mixtures with similar molecular weights based on the radiometric effect

I. M. Zhikharevab, F. G. Cheremisinc, Yu. Yu. Klossab

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Russia
b National Research Centre "Kurchatov Institute", Moscow
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow

Abstract: Numerical modeling of the separation of a binary gas mixture with similar molecular weights in a thermal micropump based on the radiometric effect is carried out. The simulation method is based on the direct solution of the Boltzmann kinetic equation using a splitting scheme. Relaxation problems are solved using a conservative projection method. Transport equations are solved using first- and second-order schemes. A design of an installation that can be used for separating mixtures of similar masses is proposed. Based on the modeling, an assessment of the efficiency of this device is performed.

Key words: Boltzmann kinetic equation, conservative projection method, rarefied gas, gas mixture, similar masses.

UDC: 519.634

Received: 04.07.2025
Revised: 18.07.2025
Accepted: 20.08.2025

DOI: 10.7868/S3034533225110123


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:11, 2703–2713

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© Steklov Math. Inst. of RAS, 2026