%0 Journal Article
%T Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material
%J Journal of Applied Fluid Mechanics
%I
%Z 1735-3572
%A Siddique, J. I.
%A Kara, A.
%D 2016
%\ 10/01/2016
%V 9
%N 6
%P 2837-2843
%! Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material
%K Capillary Rise
%K Magnetohydrodynamics fluid
%K Deformable porous media
%K Mixture theory
%R 10.29252/jafm.09.06.25640
%X We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material that induces a stress gradient which in turn causes deformation that is characterized by a variable solid fraction. The problem is formulated as a nonâ€“linear moving boundary problem which we solve using the method of lines approach after transforming to a fixed computational domain. The summary of our finding includes a notable reduction in capillary rise and a decrease in solid deformation due to magnetic effects.
%U https://www.jafmonline.net/article_1848_0654607162c042b81fc382e4c859a3ec.pdf