Rheological analysis of thermodynamics and viscosity ratio impact on non-Newtonian tetra-Bingham nanofluid stagnation point flow driven by stretching plate and a circular cylinder

Purpose This present study aims to examine rheological analysis of thermodynamics and viscosity ratio impact on non-Newtonian tetra-Bingham nanofluid stagnation point flow driven by stretching plate and a circular cylinder. Design/methodology/approach Sodium alginate is considered as the base fluid and gold, silver, titanium oxide and aluminum oxide tiny particles are immersed in forming a tetrahedral nanofluid. There is a lack of studies on tetra-fluid in with Brinkman ratio and heat transfer. The authors noticed this gap and considered the stagnation point movement of tetra-Bingam nanofluid with heat transfer. Governing nonlinear partial differential equations are transformed to ordinary differentail equations via similarity formulations. Both momentum and energy equations are solved using analytical methods. Closed-form solutions are obtained in the form of an incomplete error function. Findings The present investigation shows that upsurging the Brinkman and Bingham terms decreased the momentum of the fluid flow and increased the temperature boundary layer thickness. Increasing the mass transpiration term decays the movement of the fluid while the magnitude of the stretching as well as the Bingham term increased as the velocity of the boundary layer flow decreased. Originality/value There is a lack of studies on tetra-fluid where Brinkman ratio and heat transfer are considered. The authors noticed this gap and considered the stagnation point movement of tetra-Bingam nanofluid with heat transfer. The present investigation has many practical applications in engineering, physical and biological thrust-bearing technologies. Bingham fluids are essential in the petroleum industry for drilling operations and in construction for cement and mortar formulations and cleaning engine lubricants.