Double Solutions and Stability Analysis of Micropolar Hybrid Nanofluid with Thermal Radiation Impact on Unsteady Stagnation Point Flow

The mathematical modeling of unsteady flow micropolar Cu–Al2O3/water nanofluid driven by a deformable sheet in stagnation region with thermal radiation effect has been explored numerically. To achieve the system nonlinear ordinary differential equations (ODEs), we have employed some appropriate transformations and solved it numerically using MATLAB software (built-in solver called bvp4c). Influences relevant parameters on fluid heat transfer characteristic are discussed presented graphs. findings expose that double solutions appear shrinking case which eventually contributes to analysis stability. stability therefore confirms merely first solution is stable solution. Addition nanometer-sized particle (Cu) found significantly strengthen rate nanofluid. When copper nanoparticle volume fraction increased from 0 0.01 (1%) nanofluid, roughly an average 17.725%. result also revealed upsurge noticed enhance local Nusselt number hybrid Meanwhile, occurrence material parameter conclusively decreases it.