Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach

Abstract

An investigation for fluctuating temperature with Cattaneo–Christov features and self-motive bioconvective microbes immersed in the water based nanofluid has been observing with excision/accretion of the leading edge. A set of partial differential equations is transferring by implementing the similarity measures to an ordinary differential pattern. A finite element technique is employed to establish the numerical results of the set of non-linear system of equations via Matlab programming. The numerical solution's reliability and validity are determined by ascertaining convergence specifications and comparing them to established novel solutions. The formulation of boundary layer configurations for microbes propagation, fluid temperature, the volume fraction of nano-inclusions, and the fluid velocity with varying persuasive parameters have discussed. The main findings of the prevailing assessment are that an increasing trend in the ablation/slash accretion in leading-edge declines in the non-dimensional melting factor of fluid velocity and temperature, while a decreasing trend has seen with the enhancing impact of ablation/slash accretion at the leading edge that represents the flow velocity deceleration. Furthermore, a significant result is that an increase in the non-dimensional melting factor enhances the density of the liquid.