Elastic deformation effect on carboxymethyl cellulose water-based (TiO₂–Ti₆Al₄V) hybrid nanoliquid over a stretching sheet with an induced magnetic field

Abstract

An analysis is carried out to study the two-dimensional stagnant point flow of titanium dioxide $(Ti{O}_2)$-titanium alloy $(T{i}_{6}A{l}_{4}V)$/carboxymethyl cellulose (CMC) water-based hybrid nanoliquid over an expanding surface characterized by the induced magnetic field (IMF). Further, the consideration of thermal buoyancy and the additional nonuniform heat source is involved in the modeling. The intent of this work has significant novelty due to the elastic deformation behavior over a stretching surface. The governing mathematical equations of the problem are reduced to a set of simultaneous ordinary differential equations and are elucidated numerically by employing the Runge-Kutta-Fehlbergs fourth-and-fifth (RKF-45) order process combined with a shooting approach. This article examines the properties of change in parameters on the functions including temperature profiles, induced magnetic field, and velocity profiles of hybrid nanoliquid, shown through graphs. The impact of the Elastic deformation coefficient reduces the temperature where as magnetic field enhance the velocity profile. Magnetic parameter boosts skin friction coefficient with an increase in the buoyancy effect. Momentum profile and induced magnetic field are affected most by the Magnetic Prandtl number

Keywords:

• Elastic deformation effect
• hybrid nanofluid
• induced magnetic field
• nanofluid
• nonuniform heat source