%0 Journal Article
%T A Simple Solution of the Laminar Dam Break Wave
%J Journal of Applied Fluid Mechanics
%I
%Z 1735-3572
%A Chanson, H.
%D 2012
%\ 01/01/2012
%V 1
%N 1
%P 1-10
%! A Simple Solution of the Laminar Dam Break Wave
%K Dam break wave
%K Laminar flow
%K Analytical solutions
%K Method of characteristics
%R 10.36884/jafm.1.01.11831
%X The sudden release of a mass of fluid in a channel generates a highly unsteady flow motion, called dam break wave. While industrial fluids exhibit sometimes non-Newtonian behaviours, the viscous fluid flow assumption remains a useful approximation for simplified analyses. In this study, new solutions of laminar dam break wave are proposed for a semi-infinite reservoir based upon the method of characteristics. The solutions yield simple explicit expressions of the wave front location, wave front celerity and instantaneous free-surface profiles that compare favourably with experimental observations. Both horizontal and sloping channel configurations are treated. The simplicity of the equations may allow future extension to more complicated fluid flows.
%U https://www.jafmonline.net/article_394_12022eded9eae5b071f26ba5ce8541d6.pdf