Contribution of entropy analysis on three-dimensional Prandtl model under Hall and ion slip effects with generalized mass and heat fluxes via OHAM

The major concern of proffered study based on the inquisitive analysis of entropy approach based on 3-D Prandtl fluid influenced by modified advanced heat conduction along with mass diffusion models. Moreover, influence of Hall and also slip forces and heat transmission characteristics are featured under the combined outcomes appertaining to radiations and viscous dissipation are taken into account in this investigation. This article also examined the combined impacts of thermal conductivity change together with variable mass diffusion co-efficient within the heat and mass transport in the occurrence of Prandtl fluid. Flow demeanor is examined across the bidirectional extendable sheet. Numerical simulations based on 3-D flow configured by extending surface are carried out by using OHAM. Simulated PDEs expressed as ODEs with the utilization of dimensionless variables. Simulated outcomes are validated graphically obtained by varying values of emerging constraints through previous published results and seen in desirable agreement. The influence of distinct parameters associated with this current study like Brownian and diffusion constraint, temperature and also concentration difference, Eckert number, Hall as well as ion slip parameters, Brinkman number, magnetic constraint, radiation and Prandtl fluid constraint are sketched for temperature, velocity field along xy -axes, concentration and entropy generation rate. It is noticed that velocity distribution along x -axes is an increasing function of magnetic constraint, Prandtl fluid and also elastic constraint whilst contrast impact is seen along y -axes. Moreover, temperature as well as concentration profile decays for Prandtl number, thermal and also concentration relaxation time constraint respectively whereas both profiles enhanced for distinct considered parameters. Entropy declines for ion-slip parameter whilst enhanced for Bejan number. Entropy behavior as well as Bejan number effect under various parameters is sketched graphically and enhanced behavior is depicted for entropy for considered constraint whilst Bejan number enhanced for diffusion parameter and also concentration difference constraint whereas declined behavior demonstrated for other considered parameters. The innovative component in the current study lies in the integration of multiple factors towards the Prandtl fluid model framework, forcing its boundaries beyond widespread conventional applications. Extending the Prandtl fluid model in 3D allows more comprehensive demonstration of the under consideration physical system.