Numerical investigation on MHD Jeffery-Hamel nanofluid flow with different nanoparticles using fuzzy extension of generalized dual parametric homotopy algorithm

Abstract

This study considers an MHD Jeffery-Hamel nanofluid flow with distinct nanoparticles such as copper, Al₂O₃ and SiO₂ between two rigid non-parallel plane walls with the fuzzy extension of the generalized dual parametric homotopy algorithm. The nanofluids have been formulated to enhance the thermophysical characteristics of fluids, including thermal diffusivity, conductivity, convective heat transfer coefficients and viscosity. Due to the presence of distinct nanofluids, a change in the value of volume fraction occurs that influences the velocity profiles of the flow. The short value of nanoparticles volume fraction is considered an uncertain parameter and represented in a triangular fuzzy number range among [0.0, 0.1, 0.2]. A novel generalized dual parametric homotopy algorithm with fuzzy extension is used here to study the fuzzy velocities at various channel positions. Finally, the effectiveness of the proposed approach has been demonstrated through a comparison with the available results in the crisp case.