Darcy-Forchheimer hybrid nanofluids flow with quadratic convection over a stretched tube

The study of well-known Darcian fluidic streams and hybrid nanofluids is an essential need nowadays researchers in regard to their exceptional heat transfer rates implementations. significance controlling transmission cannot be overemphasized. Therefore, this article scrutinizes the Darcy Forchheimer flow nanofluid toward a flexible tube. near surface cylinder are investigated by applying Darcy-Forchheimer theory while examining rate, nonlinear convection expressions used. analysis also considers thermal radiation chemical reactions. One sophisticated numerical approach Runge–Kutta method (RK4) selected for proposed problem’s solution. main novelty present research examine characteristics context over extending purposes enhancement regarding transference inertial impacts. Results shows that hybrid-based provides upsurges solid volume fraction nanoparticles accompanied rate 4.32%, 5.8%, 14.46% individually. outcomes witnessed based increased transportation processes more effectively than other nanofluids.