Group invariant solutions for the unsteady MHD flow of a third grade fluid in a porous medium

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

“…With the use of the symmetries given in (221), three types of invariant solutions were obtained in [47] for PDE (218) and are given by…”

“…A revisit has been made by Aziz et al [49] for three flow problems [44,47,48] related to a third-grade fluid model and discussed earlier. A conditional symmetry approach was employed in [49] to construct some new exact solutions of these models.…”

Applications of the Numerical Inversion of the Laplace transform to unsteady problems of the third grade fluid

“…We will assume that w e s e % Oð1Þ and w i s i ( 1 where the subscript i corresponds to ions. Also, following [24], for a unidirectional third grade fluid through porous medium, the relationship between the pressure and the velocity is given by…”

Global regularity for unsteady flow of third grade fluid in an annular region

“…The equation of motion for even unidirectional flow of the third grade model is nonlinear, which is not the case in second grade fluid. Despite such complexities, recent workers in the field studied the flows of third grade fluid for different configurations and aspects (see [1,[5][6][7]19]). …”