Theory of Thermophoresis of a Large Evaporating Droplet in a Viscous Nonisothermal Binary Gaseous Medium

• Published in: Journal of applied mechanics and technical physics Vol. 66; no. 1; pp. 80 - 88
• Main Authors: Malai, N. V., Sokhan’, P. V., Shostak, Yu. I.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.02.2025; Springer Nature B.V
• Subjects: Aerosols; Applications of Mathematics; Boundary conditions; Classical and Continuum Physics; Classical Mechanics; Dependence; Droplets; Fluid- and Aerodynamics; Gases; Heat; Heat transfer; Mass transfer; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering; Peclet number; Phase transitions; Physics; Physics and Astronomy; Temperature; Temperature gradients; Thermal conductivity; Thermophoresis; Velocity; Viscosity; binary mixture; gas thermophoresis; linearized Navier–Stokes equation; thermophoresis of evaporating droplet
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S0021894425010092

Thermophoretic motion of a spherical evaporating droplet in a viscous binary gas medium at arbitrary relative temperature differences in its vicinity is theoretically described in a quasistationary approximation at low Reynolds and Peclet numbers. A system of gas-dynamic equations is solved, including a velocity-linearized system of Navier–Stokes equations, as well as heat and mass transfer equations. The properties of a gaseous medium are described with account for the power-law dependence of the transfer (viscosity, diffusion, and thermal conductivity) and density coefficients on temperature. The resulting numerical estimates suggest that the dependences of the thermophoretic force and the velocity of the droplet on the average temperature of its surface are nonlinear.