A revised double diffusion Cattaneo–Christov bioconvective model for unsteady Williamson nanofluid due to Riga surface with additional nonlinear thermal sources

Abstract Current analysis presents the unsteady two‐dimensional flow of Williamson nanofluid with suspension of microorganisms due to stretched Riga surface with porous medium. The applications of external heat source/sink with non‐uniform relations are suggested. Furthermore, activation energy and nonlinear radiative effects are encountered. The extension in energy equation is subject to the implications of famous Cattaneo–Christov model. The problem is simplified with help of dimensionless quantities. The analytical simulations of formulated problem have been performed with help of built‐in bvp4c numerical scheme. The physical aspects of problem are presented for various flow parameters. It is claimed that velocity profile boosted due to modified Hartmann parameter while declining change in velocity profile is noted for Williamson fluid constant. The temperature field enhances for non‐uniform heat source constants. Current results convey applications in heat transfer enhancement, solar energy, extrusion processes, automobile industries, fertilizers, and so forth.