Analytical solutions of one-way coupled magnetohydrodynamic free surface flow

• Published in: Applied mathematical modelling Vol. 40; no. 4; pp. 2577 - 2592
• Main Authors: Righolt, B.W., Kenjereš, S., Kalter, R., Tummers, M.J., Kleijn, C.R.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.02.2016
• Subjects: Analytical solutions; Bond number; Capillarity; Computational fluid dynamics; Contact angle; Fluid flow; Free surface; Lubrication theory; Magnetic fields; Magnetohydrodynamics; Matched asymptotic expansions; Mathematical analysis; Mathematical models; Numerical solutions; Matched asymptotic expansions; Magnetohydrodynamics; Lubrication theory; Free surface; Analytical solutions; Numerical solutions

•Analytical solution for flow in a conductive fluid subject to various forces.•Validation of this solution with a free surface/MHD flow solver.•Exploration of the parameter space of validity of the analytical solution. We study the flow in a layer of conductive liquid under the influence of surface...