Nonlinear movements of axisymmetric ternary hybrid nanofluids in a thermally radiated expanding or contracting permeable Darcy Walls with different shapes and densities: Simple linear regression

Abstract

In this study, investigated the flow and heat transmission a characteristic of a nanofluid in a contracting or expanding porous channel with different permeability's in the influence of thermal radiation. The Ternary hybrid Nanofluid 1(Graphene, carbon nanotubes and aluminium oxide) and Ternary hybrid Nanofluid 2 (Copper, Silver and copper oxide) is considered respectively different shapes like cylindrical, spherical and platelet. The raised governing system is highly nonlinear partial differential system due to this utilised the similarity transformations to convert the ordinary differential system and solved using the boundary value problem solver bvp5c with help of MATLAB. For the case of engineering interest, also calculated skin friction and Nusselt number value for two cases of ternary mixtures. To obtain solutions for the flow variables, the Linear Regression method (LRM) is applied. In an experimental situation where the values of both variables are susceptible to basically unknown errors, the challenge of using statistical methods to identify the optimal linear equation of the type Y = AX +B was investigated. The size of the slope A is underestimated by traditional least-squares regression analysis in this circumstance. A simple approach for calculating the appropriate slope and intercept value has been given when both variables include errors. The effects of a variety of developmental variables on axial velocity and temperature distributions have been investigated. The results of the current study are compared already existing studies. The temperature distribution is higher in case-1 compared to case-2, whereas the quite opposite results are observed in momentum boundary layer. For the two situations, the rate of skin friction is m1 = 0.763107 and m2 = 1.362976. This tell us case-1 the rate of skin friction at the wall is less compared case-2.