Darcy-Forchheimer flow of Williamson ternary hybrid nanofluids over a stretching cylinder

The present study deals with the Darcy-Forchheimer flow of Williamson ternary hybrid nanofluid over a stretching cylinder. The impact of magnetic field, Joule heating, viscous dissipation, and nonlinear thermal radiation on the flow and thermal characteristics are taken into account. Thermophysical properties of ethylene glycol (EG)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(EG)$$\end{document} aluminium oxide (Al2O3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(A{l}_{2}{O}_{3})$$\end{document}, titanium dioxide (TiO2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(Ti{O}_{2})$$\end{document} and silicon dioxide (SiO2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(Si{O}_{2})$$\end{document} are used for base fluid and the nanoparticles. The basic conservation laws are used for mathematical formulation of problems with suitable conditions. The non-similarity variables, normalized the governing equations and the boundary conditions. Further local non-similarity method is applied to transform the dimensionless equations into the set of ordinary differential equations. The solution of these equations is obtained numerically using the MATLAB's built-in function (bvp4c). The effects of involved parameters on velocity and temperature profiles are illustrated graphically. The Nusselt number and the local skin friction coefficient are tabulated. Weissenberg number increases, while magnetic field, Darcy and Darcy-Forchheimer parameters reduces the fluid velocity. The thermal transport is assisted by magnetic field, Darcy-Forchheimer, thermal radiation and viscous dissipation parameters. Furthermore, the magnitude of velocity and temperature for ternary hybrid nanofluid is greater compared to hybrid nanofluid and nanofluid. These outcomes are helpful in the designing of heat exchangers and cooling system. Furthermore, the results of the study play a significant role in the thermal management of electronic, aerospace and biomedical device.