Solving a Boundary Value Problem for a System of Equations of Gas Dynamics Describing the Motion of an Evaporating Droplet in an Electromagnetic Radiation Field

The article solves a boundary value problem for a stationary system of equations of gas dynamics (a velocity-linearized system of Navier–Stokes equations, convective equations of heat and mass transfer), which allows us to study the motion of an evaporating spherical droplet in the field of electromagnetic radiation. Convective heat and mass transfer equations are solved by the method of spliced asymptotic expansions. The solution of the problem allows us to evaluate the effects of the reactive, thermodiffusion and Stephan effects on the rate of photophoresis of an evaporating droplet.