LAUSR

Abstract Fractional MHD viscoelastic fluid flow has been discussed in this study. Two dimensional and two directional unsteady flow field is more critically analyzed via non-integer time derivatives. Three memory parameters are incorporated to explore the viscoelastic characteristics of the model. Variations in concentration occurred due to homogeneous-heterogeneous reactions in the flow domain. Change in concentrations consequently leads to one of the lasting chemical species. Heterogeneous reactions are observed at the boundary while homogeneous reactions are seen in the flowing region. We consider different orders of diffusion coefficients of chemical reacting species to tackle the wider class of physical and chemical processes. Governing equations are nonlinear in nature. Hence a recently established finite difference technique along with “L1 algorithm” is used for discretization and solution of governing fractional partial differential equations. Presence of chemical reactions in flow process made the simulations valuable for chemical industry.