A theoretical analysis of the ternary hybrid nano-fluid with Williamson fluid model

Abstract

The commercialization of nanotechnology is significant in the areas of pharmaceutical delivery, supercapacitors, catalysts, microelectronics, thermal energy plants, automotive cooling, fuel cell membranes, crack-resistant paint, and water purification. Here Darcy-Forchheimeir hydromagnetic flow of radiative Williamson trihybrid MOS2+ZrO2+GO/Ethyleneglycol nanofluid subject to entropy generation is investigated. Molybdenum disulfide MOS2, zirconium dioxide ZrO2, and graphene oxide GO nanoparticles in base fluid (Ethylene glycol) are incorporated. Darcy-Forchhiemeir porous medium and dissipative heat transfer attributes are considered. Furthermore, the convective boundary condition is incorporated for the analysis. Thermal radiation is employed to perform a study of the energy transfer phenomenon while keeping in mind the practical applications. The governing PDEs are converted into ODEs by appropriate transformations. Using the homotopy analysis method (HAM), the resulting non-dimensional systems are addressed analytically. The implications of various factors on the thermal transmission rate and friction factor for tri-hybrid MOS2+ZrO2+GO/Ethyleneglycol nanofluid, hybrid MOS2+ZrO2/Ethyleneglycol nanomaterial, and nanoliquid MOS2/Ethyleneglycol are investigated through tables. Further, the fluid velocity, temperature, entropy rate, and Bejan number for all three nano-liquid scenarios in response to influential parameters (Weissenberg number We, magnetic parameter M, radiation parameter Rd, Brinkman number Br, suction parameter S, Darcy-Forchheimeir number Fr, and Biot number Bi) are graphically evaluated. The fluid velocity declines as the suction parameter grows. A greater Weissenberg number results in an increased Bejan number. Temperature and entropy rate increase with a higher magnetic value. A greater Weissenberg number results in an enhanced drag force. The rate of heat transmission decreases with an increasing radiation effect. In conclusion, the current outcome is an excellent invention of the results that came before it.

Keywords

• Williamson Model
• Ternary hybrid nanofluid
• MHD
• Darcy Forchheimer
• Entropy