Heat transfer and thermal conductivity of magneto micropolar fluid with thermal non-equilibrium condition passing through the vertical porous medium

Abstract

This paper investigates the incompressible mixed convection flow of electrically conductive micropolar fluid with a thermal non-equilibrium condition that passes through the vertical circular (pipe) porous medium. The extension of the non-Darcy–Brinkman–Forchheimer model is considered to formulate the governing non-linear system of differential equations for the problem. Furthermore, the rigorous impact of different parameters such as thermal conductivity ratio , inter-phase heat transfer coefficient , Darcy number , Grashof number , Eringen micro-polar parameter , Hartmann number , solid-heat generation , and fluid heat generation parameter on velocity profile , micro-rotational (angular velocity) , temperature of solid and fluid has been investigated by using the computational strength of artificial intelligence based Elman neural networks (ENN) and Levenberg–Marquardt algorithm (LMA). We have compared the solutions calculated by the designed ENN-LM algorithm with the Cuckoo Search Algorithm (CSA), Chebyshev spectral collocation method (CSCM), particle swarm optimization (PSO) algorithm, and Runge–Kutta method. The convergence rate and stability of the ENN-LM technique show that it can be applied to solving complex models involving partial and fractional differential equations.