Steady Hartmann flow and wave propagation in second grade Rivlin-Ericksen magnetofluids

Electrically conducting non-newtonian fluid materials, called second grade Rivlin-Ericksen magnetofluids are defined. We introduce and study the class of lineal magnetohydrodynamic flows, which includes Hartmann flow. Steady Hartmann flow is discussed in detail. In the class of lineal magnetohydrodynamic flows there are wave solutions for second grade Rivlin-Ericksen magnetofluids. Effects of our generalized constitutive assumption are examined for some special cases and compared with classical results for perfect and linearly viscous magnetofluids.