Analysis of the Thomson and Troian velocity slip for the flow of ternary nanofluid past a stretching sheet

Abstract

AbstractIn this article, the flow of ternary nanofluid is analysed past a stretching sheet subjected to Thomson and Troian slip condition along with the temperature jump. The ternary nanofluid is formed by suspending three different types of nanoparticles namely$$\text{TiO}_{2}, \text{Cu}$$TiO2,Cuand$$\text{Ag}$$Aginto water which acts as a base fluid and leads to the motion of nanoparticles. The high thermal conductivity and chemical stability of silver was the main cause for its suspension as the third nanoparticle into the hybrid nanofluid$$\text{Cu-TiO}_{2}/\text{H}_{2} \text{O}$$Cu-TiO2/H2O. Thus, forming the ternary nanofluid$$\text{Ag-Cu-TiO}_{2}/\text{H}_{2} \text{O}$$Ag-Cu-TiO2/H2O. The sheet is assumed to be vertically stretching where the gravitational force will have its impact in the form of free convection. Furthermore, the presence of radiation and heat source/sink is assumed so that the energy equation thus formed will be similar to most of the real life applications. The assumption mentioned here leads to the mathematical model framed using partial differential equations (PDE) which are further transformed to ordinary differential equations (ODE) using suitable similarity transformations. Thus, obtained system of equations is solved by incorporating the RKF-45 numerical technique. The results indicated that the increase in the suspension of silver nanoparticles enhanced the temperature and due to density, the velocity of the flow is reduced. The slip in the velocity decreased the flow speed while the temperature of the nanofluid was observed to be increasing.