title: Leidenfrost effect: Accurate drop shape modeling and refined scaling laws.
abstract: We here present a simple fitting-parameter-free theory of the Leidenfrost effect (droplet levitation above a superheated plate) covering the full range of stable shapes, i.e., from small quasispherical droplets to larger puddles floating on a pocketlike vapor film. The geometry of this film is found to be in excellent quantitative agreement with the interferometric measurements of Burton et al. [Phys. Rev. Lett. 109, 074301 (2012)PRLTAO0031-900710.1103/PhysRevLett.109.074301]. We also obtain new scalings generalizing classical ones derived by Biance et al. [Phys. Fluids 15, 1632 (2003)PHFLE61070-663110.1063/1.1572161] as far as the effect of plate superheat is concerned and highlight the relative role of evaporation, gravity, and capillarity in the vapor film. To further substantiate these findings, a treatment of the problem by matched asymptotic expansions is also presented.
authors.affiliation: Université Libre de Bruxelles, TIPs-Fluid Physics, C.P. 165/67, av. F.D. Roosevelt 50, 1050 Brussels, Belgium.
authors.forename: B
authors.initials: B
authors.lastname: Sobac
authors.affiliation: Université Libre de Bruxelles, TIPs-Fluid Physics, C.P. 165/67, av. F.D. Roosevelt 50, 1050 Brussels, Belgium.
authors.forename: A
authors.initials: A
authors.lastname: Rednikov
authors.affiliation: GRASP, Physics Department, Université de Liège, B-4000 Liège, Belgium.
authors.forename: S
authors.initials: S
authors.lastname: Dorbolo
authors.affiliation: Université Libre de Bruxelles, TIPs-Fluid Physics, C.P. 165/67, av. F.D. Roosevelt 50, 1050 Brussels, Belgium.
authors.forename: P
authors.initials: P
authors.lastname: Colinet