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Abstract In this work, we perform preliminary group classification of equations governing the flow of a thermo-dependent fluid in a porous medium. The detailed model is a coupled system of… Click to show full abstract
Abstract In this work, we perform preliminary group classification of equations governing the flow of a thermo-dependent fluid in a porous medium. The detailed model is a coupled system of nonlinear partial differential equations containing two arbitrary functions. The principal Lie algebra admitted by the coupled system is given. The study also demonstrates that the forms of arbitrary functions provide an extension of this algebra via an optimal system of one-dimensional Lie subalgebras.
Keywords:
fluid porous;
group classification;
porous medium;
preliminary group
Journal Title: International Journal of Non-linear Mechanics
Year Published: 2018
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Journal Title: International Journal of Non-linear Mechanics
Year Published: 2018
Link to full text (if available)
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recommendations!