Lie group analysis of creeping flow of a second grade fluid

Applications of Group Theoretical Methods to Non‐Newtonian Fluid Flow Models: Survey of Results

“…Fluid [19]. Yürüsoy et al [19] considered the steady plane creeping flow equations of a second-grade fluid in Cartesian coordinates.…”

“…Yürüsoy et al [19] considered the steady plane creeping flow equations of a second-grade fluid in Cartesian coordinates. Lie group theory was applied to the equations of motion.…”

“…With the use of Lie point symmetries (125), the group invariant solutions for the system of PDEs (123) are [19] ( , ) [20]. The steady plane creeping flow and heat transfer equations of a second-grade fluid in Cartesian coordinates are modelled by Yürüsoy [20].…”

Similarity transformations of heat and mass transfer effects on steady MHD free convection dissipative fluid flow past an inclined porous surface with chemical reaction

“…Yurusoy and Pakdemirli (2001) presented exact solution of boundary layer equations of a special non-Newtonian fluid over a stretching sheet by the method of Lie group analysis. They extended their work to creeping flow of second-grade fluid (2006).…”

Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium

“…Yurusoy and Pakdemirli [20] investigated the boundary layer equations of a non-Newtonian fluid model in which the shear stress is an arbitrary function of the velocity gradient. Yurusoy et al [21] have obtained the solution for the creeping flow of the second grade fluid. Also the two-dimensional equations of motions for the slowly flowing and heat transfer in second grade fluid in cartesian coordinates neglecting the inertial terms are considered by Yürüsoy [22].…”