Nonlinear Magneto-convective Flow of Jeffery Fluid Through a Poro-elastic Medium with Fluid-structure Interaction

Consideration of non-Newtonian fluid flow in combination with deformable porous materials is necessary for many engineering applications involving thermal transport. These applications combine fluid dynamics, heat transport, and structural deformation, with or without interaction. This work analyses nonlinear convective heat transfer of a Jeffery fluid flowing through a deformable porous medium under the effect of fluid-structure interaction, variable fluid properties, nonlinear buoyancy, magnetic forces, and viscous dissipation and Ohmic heating. A coupled fluid flow and heat transport solid deformation problem is formulated and converted to a set of nonlinear PDEs. These equations are used to construct the model, and the SCCM is used for the numerical solution. The fourth-order Runge– Kutta shooting method is used to check the results and control the accuracy of the numerical solution. Viscous dissipation and Ohmic heating study showed that the combination of both effects assists internal energy generation, leading to an increase in temperature, while fluid velocity and solid deformation are altered. The influence of a magnetic field is realized when the Lorentz force acts on the fluid. An increase in porosity leads to an increase in the fluid flow and solid deformation. Stronger nonlinear buoyancy strengthens convection, harnessing the fluid’s motion and thermodynamic transport capacity. The overall results show that fluid-structure interaction modeling with inhomogeneous properties, nonlinear buoyancy, magnetism, viscous friction, and Ohmic dissipation captures a more accurate description of transport phenomena occurring in deformable porous media. The results add to existing literature and provoke new directions for the study and determination of optimal configurations of engineering systems in which viscoelastic fluids interact with porous medium structures.