Galerkin finite element analysis for magnetized radiative-reactive Walters-B nanofluid with motile microorganisms on a Riga plate

Abstract

In order to understand the characteristics of bio-convection and moving microorganisms in flows of magnetized Walters-B nano-liquid, we developed a model employing Riga plate with stretchy sheet. The Buongiorno phenomenon is likewise employed to describe nano-liquid motion in the Walters-B fluid. Expending correspondence transformations, the partial differential equation (PDE) control system has been transformed into an ordinary differential equation (ODE) control system. The COMSOL program is used to generate mathematical answers for non-linear equations by employing the Galerkin finite element strategy (G-FEM). Utilizing logical and graphical metrics, temperature, velocity, and microbe analysis are all studied. Various estimates of well-known physical features are taken into account while calculating nanoparticle concentrations. It is demonstrated that this model's computations directly relate the temperature field to the current Biot number and parameter of the Walters-B fluid. The temperature field is increased to increase the approximations of the current Biot number and parameter of the Walters-B fluid.

Partial differential equations modeling of thermal transportation in Casson nanofluid flow with arrhenius activation energy and irreversibility processes

“…Besides, the extension of this model can be performed by substituting the differed stretching or shrinking sheet instead of the flat one, such as cylinder, cone or wedge. The bvp4c MATLAB method could be applied to a variety of physical and technical challenges in the future 61 – 77 .…”

Comprehensive examination of radiative electromagnetic flowing of nanofluids with viscous dissipation effect over a vertical accelerated plate

“…Finally, further research can be considered by incorporating different nanoparticles in the fluid to study their thermal enhancement under a vertical plate for hybrid and ternary hybrid nanofluids. The G-FEM could be a potential utilization for future science and technology challenges [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58] .…”

The significance of ternary hybrid cross bio-nanofluid model in expanding/contracting cylinder with inclined magnetic field

“…For further details of the method Frontiers in Materials frontiersin.org considered that have been documented by various researchers, see refs. (Shahzad et al, 2022;AlBaidani et al, 2023;Althoey et al, 2023;Assiri et al, 2023;Sajid et al, 2023b;Rafique et al, 2023). Moreover, the authors have utilized the mentioned numerical method for the following reasons:…”