Enhanced heat transfer using nanofluids: a fractional Prabhakar derivative approach for Brinkman-type fluids

Owing to peak thermal impact, various investigations are performed on hybrid nanomaterials in current century. The extensive applications of hybrid nanofluids are observed in advanced thermal management systems, solar collectors, cooling of microelectronics, heat exchangers, etc. Motivated research presents a fractional mathematical model capturing the thermal aspects of Brinkman-type hybrid nanofluid in presence of mixed convection effects. A suspension of molybdenum disulfide MoS2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{MoS}}_{2}$$\end{document} and 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}$${\text{TiO}}_{2}$$\end{document} with water base fluid H2O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{H}}_{2}\text{O}$$\end{document} is used for expression of hybrid nanofluid. The source of flow is oscillating plate. The magnetic force amplification is also considered. The analytical findings of problem are presented with help of Prabhakar fractional scheme. Graphical simulations are performed for modeled problem. The observations reflect a decrement in velocity due to Brinkman fluid parameter. The heat transfer enhances due to larger nanoparticles volume fraction. Based on claimed results, current problem conveying applications in energy systems, heat transfer enhancement, improving thermal efficiency of automobile engineering, etc.