Instabilities in displacement processes through porous media with magnetic fluid

Ferrofluid Capillary Rise in Porous Medium Under the Action of Nonuniform Magnetic Field

“…It was shown that gravitational and magnetic forces result in a predictable configuration of the fluid in the porous medium. Different aspects of ferrofluid motions in porous media have been considered in theoretical studies [12][13][14][15][16][17][18][19]. The capillary ascension of ferrofluid in a porous medium has not been studied previously.…”

Mathematical Model of Instability Phenomenon with Magnetic Fluid through Homogeneous Porous Media

“…Many researchers have discussed this phenomenon with a different point of view. Verma and Rajput [14] discussed the phenomenon of instabilities that arises in the displacement process involving two immiscible phases through dipping porous media with ferrofluid under certain conditions. Verma and Mishra [12]discussed Similarity solution for instabilities in double-phase flow through porous media.…”

“…   , Verma and Rajput [14] where 0  denotes the permeability of magnetic field and it is not mixing with residential fluid N which is non-conductive in ordinary condition, then instead of regular displacement of whole front atcommon interface protuberances take place which shoot through the porous medium at relatively very high speed. Thus instabilities occur in flow system depending on viscosity difference and wettability of these two fluids.…”

Optimal homotopy analysis solution of fingero-imbibition phenomenon in homogeneous porous medium with magnetic fluid effect

“…Besides this if a phase (oil) contained in a porous medium is displaced by another phase of lesser viscosity, then instead of regular displacement of the whole front, protuberances may occur which shoot through the porous medium at relatively very great speed giving rise to the fingering phenomenon. This simultaneous occurrence of both phenomena was termed as fingero-imbibition by Verma. Many researchers have discussed this problem from different viewpoints and solved by different methods: Mishra and Verma [14], Patel, Rabari and Bhathawala [19], Shah [26], Patel and Rabari [18],Shah and Verma [27], Parikh, Mehta and Pradhan [17], Verma and Rajput [31], Verma [30], Patel and Desai [20], Desai [4], Mehta [13] etc. In this paper, we have discussed the fingero-imbibition phenomenon through homogeneous porous medium with the involvement of a layer of magnetic fluid in the injected phase.…”