Double-diffusive natural convection energy transfer in magnetically influenced Casson fluid flow in trapezoidal enclosure with fillets

The prime motive of this disquisition is to deal with mathematical analysis of natural convection energy transport driven by combined buoyancy effects of thermal and solutal diffusion in a trapezoidal enclosure. Casson fluid rheological constitutive model depicting attributes of viscoelastic liquids is envisioned. The influence of the inclined magnetic field governed by Lorentz field law is also considered. To raise the essence of the presently used computational and physical domain, an innovative structural design called fillet is capitalized at the edges of the cavity. A numerical solution of the leading formulation is sought through Galerkin finite element dis-cretization. Momentum, temperature, and concentration equations are interpolated by quadratic polynomials, whereas pressure distribution is approximated by a linear interpolating function. Domain discretized version is evaluated in view of triangular and rectangular elements. Newton's scheme is employed to resolve the non -linearly discretized system and a matrix factorization-based non-linear solver renowned as PARADISO is used. Validation of results is ascertained by forming an agreement with existing studies. Streamlines, isothermal and iso concentration contours patterns are portrayed to evaluate variation inflow distributions. Kinetic energy, local heat, and mass fluxes are also divulged in graphical and tabular formats.

Automated summary

This paper focuses on the mathematical analysis of natural convection energy transport driven by combined buoyancy effects in a trapezoidal enclosure. The influence of thermal and solutal diffusion, as well as the inclined magnetic field, is considered. The study provides numerical solutions and visualizations of flow and concentration distributions using innovative structural design and computational methods.