Fast forced liquid film spreading on a substrate: flow, heat transfer and phase transition

• Published in: Journal of fluid mechanics Vol. 656; pp. 189 - 204
• Main Author: ROISMAN, ILIA V.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.08.2010
• Subjects: Condensed matter: structure, mechanical and thermal properties; Energy equation; Exact sciences and technology; Fluid dynamics; Fluid flow; Fluid mechanics; Heat transfer; Lamella; Mathematical analysis; Navier-Stokes equations; Other nonelectronic properties; Phase transformations; Physics; Solid-fluid interfaces; Spreading; Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties); Temperature distribution; Liquid solid interface; Melting; Reynolds number; Fluid flow; Stainless steels; Solidification; Tin; Film boiling; Liquid films; Asymptotic solution; Thermophysical properties; Heat transfer; Navier-Stokes equations
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/S0022112010001126

This theoretical study is devoted to description of fluid flow and heat transfer in a spreading viscous drop with phase transition. A similarity solution for the combined full Navier–Stokes equations and energy equation for the expanding lamella generated by drop impact is obtained for a general case of oblique drop impact with high Weber and Reynolds numbers. The theory is applicable to the analysis of the phenomena of drop solidification, target melting and film boiling. The theoretical predictions for the contact temperature at the substrate surface agree well with the existing experimental data.