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The steady thermocapillary droplet migration in a uniform temperaturegradient combined with a radiation energy source at large Reynolds andMarangoni numbers is studied. To reach a terminal quasi-steady process, themagnitude of the radiation energy source is required to preserve theconservative integral thermal flux across the surface. Under the quasi-steadystate assumption, an analytical result for the steady thermocapillary migrationof a droplet at large Reynolds and Marangoni numbers is derived by using themethod of matched asymptotic expansions. It is shown that the thermocapillarydroplet migration speed increases as Marangoni number increases, while theradiation energy source with the sine square dependence is provided.

Steady thermocapillary migration of a droplet in a uniform temperature gradient combined with a radiation energy source at large Marangoni numbers