Heat transfer and thermal conductivity of magneto micropolar fluid with thermal non-equilibrium condition passing through the vertical porous medium
Naveed Ahmad Khan, Muhammad Sulaiman
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 (γ), inter-phase heat transfer coefficient (H), Darcy number (Da), Grashof number (Gr), Eringen micro-polar parameter (Er), Hartmann number (Ha), solid-heat generation (β), and fluid heat generation parameter (α) on velocity profile (f∗), micro-rotational (angular velocity) (g∗), temperature of solid (Θf∗) and fluid (Θs∗) 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.