Dynamics of stagnation point flow of Casson nanofluid towards a continuously deforming Riga plate

Motive of this research article is to present a comprehensive analysis of the heat transfer characteristics of Casson nanofluid flowing over a stretching Riga plate in stagnation point flow situation. The mathematical modeling is developed using Buongiorno's two-phase model to describe convective heat transport in nanofluids. The solution process involves the reduction of governing system of Partial Differential Equations (PDEs) into a set of Ordinary Differential Equations (ODEs) with the help of suitable similarity variables, which are then solved using the semi-analytical Optimal Homotopy Analysis Method (OHAM). The effects of various flow parameters on key flow variables and physical quantities, such as the skin friction coefficient and Nusselt number, are analyzed and visualized graphically. Furthermore, a predictive model for skin friction and the Nusselt number is formulated using a multivariate non-linear regression model, which suggest that beta\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta $$\end{document} and Pr have maximum influence over the skin friction coefficient and Nusselt number respectively. The problem bears the potential to serve the industrial applications like electronics cooling, solar panels, and energy-efficient heat exchangers.