Symmetry Reductions and Some Exact Solutions for Rotating Flows of An Oldroyd-B Fluid With Hall Currents

摘要

In this paper, the similarity reduction arising from the classical Lie point symmetries of unsteady hydromagnetic flows of a rotating Oldroyd-B fluid under the influence of Hall currents is carried out. We employ different combinations of translation and rotational symmetries to obtain a class of exact solutions with certain initial and boundary conditions. Further, a detailed comparative study of these solutions for different cases in perspective of previous literature is also presented. The solutions obtained in literature turned out to be the special cases of the similarity solutions obtained here.