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A comparative three-dimensional (3D) analysis for Casson-nanofluid and Carreau-nanofluid flows due to a flat body in a magnetohydrodynamic (MHD) stratified environment is presented.Flow is estimated to be suspended in a Darcy-Forchheimer medium.Soret and Dufour responses are also accommodated in the flow field.A moving (rotating) coordinate system is exercised to examine the bidirectionally stretched flow fields (flow,heat transfer,and mass transfer).Nanofluid is compounded by taking ethylene glycol/sodium alginate as base fluid and ferric-oxide (Fe3O4) as nanoparticles.Governing equations are handled by the application of optimal homotopy asymptotic method (OHAM),where convergence parameters are optimized through the classical least square procedure.The novel mechanism (hidden physics) due to appearing parameters is explored with the assistance of tabular and graphical expositions.Outcomes reveal the double behavior state for temperature field with thermal stratification/Dufour number,and for concentration field with Soret number due to the presence of turning points.