The influence of g-Jitter on the unsteady bio-convective flow of Eyring-Powell fluid: Heat transfer applications in thermal energy storage

This research sheds light on how heat transfer can be used in thermal energy storage (TES) systems. An electrically conducting time-dependent bioconvective Eyring–Powell (E–P) fluid flow is explored around a cone by studying g-Jitter, triple diffusion, and non-linear thermal radiation effects. The nondimensional governing equations, derived from Mangler's non-similar transformations, are solved by Quasilinearization in conjunction with the implicit finite difference scheme. The development of MATLAB code enabled both the numerical solutions and the graphical representation of the findings. When the g-jitter amplitude ε is large, the speed and surface drag close to the cone's wall increase sharply. It is revealed that the velocity of the Newtonian fluid outstrips the E–P fluid and conversely results for the surface drag case. The drag coefficient shows an improvement of about 17% at τ = 1 and M = 1 due to an increase in amplitude ε from 0 to 1. A rise in heat transfer rate due to the escalation of non-linear thermal radiation R_d from 1 to 2 is about 70% at τ = 1, θ_w = 2, and due to the strengthening of the temperature difference ratio θ_w from 1.5 to 2 is about 53% at τ = 1, R_d = 1. The entropy increases as one progresses from a single diffusion to a double and then a triple. Comparisons to previous research corroborated the current findings.