Computational analysis of radiative and viscous dissipation impacts on two-phase dusty hybrid nanofluid flow over a permeable surface

Hybrid nanofluid has various applications, including air filtration systems, solar collectors, automobile cooling, and paper production. This study aims to explore the magnetohydrodynamics two-phase dusty hybrid nanofluid flow and heat transport over a permeable stretching/shrinking surface with viscous dissipation and thermal radiation impacts. The single-wall and multi-wall carbon nanotubes are embedded in a base fluid such as ethylene glycol to form a hybrid nanofluid. Both linear deformation and quadratic surface temperature are applied to wall boundary. For first time in literature, a highly nonlinear phenomenon by taking a hybrid nanofluid with Yamada-Ota and Xue models for thermal conductivity is investigated to look for heat enhancement. The similarity transformations are used to change the problem in dimensionless form. The least square method is utilized to attain analytical solutions. Additionally, numerical solutions are evaluated by using a bvp4c program in MATLAB. The results indicate that two-phase velocity is reduced by enhancing suction parameter, magnetic parameter, and particle loading parameter while two-phase temperature is reduced by growing suction parameter and specific heat parameter. The heat transport rate grows due to an increase in radiation parameter. Moreover, Xue model demonstrates higher temperature and heat transport rate compared to Yamada-Ota model due to embedding parameters.