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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2024, Volume 56, Issue 3, Pages 218–225 (Mi pmf423)

PHYSICS. MATHEMATICAL MODELING

Photophoresis of a moderately large high-viscosity droplet in a sliding mode, taking into account thermodiffusion and stephan effects

N. V. Malay, P. V. Sohan, J. Shostak

Belgorod National Research University

Abstract: A theoretical description of the photophoretic motion of a moderately large evaporating highly viscous spherical droplet (absent, circulation of matter inside the droplet and interfacial surface tension forces) in a viscous binary gas mixture with a phase transition of one of the components on the surface of the condensed phase is carried out in the quasi-stationary approximation at low Reynolds and Peckle numbers. In the boundary conditions on the droplet surface, linear corrections by the Knudsen number were taken into account (isothermal, thermal and diffusion slip, temperature and concentration jumps, as well as sliding due to temperature inhomogeneity along the curved surface of the particle), the reactive effect and the contribution of the direct influence of the evaporation coefficient taking into account thermodiffusion and Stephan effects.

Keywords: photophoresis of evaporating droplets, movement of droplets in the field of electromagnetic radiation, heat and mass transfer.

Received: 30.09.2024
Accepted: 30.09.2024

DOI: 10.52575/2687-0959-2024-56-3-218-225



© Steklov Math. Inst. of RAS, 2025