Nonlinear effects in bioconvective flow of third-grade nanomaterial over stretched riga plate with modified diffusion

The current study demands the bio-convective phenomenon in unsteady two-dimensional third-grade nanofluid flow which passes over a stretched Riga surface in a porous state of the medium. Modified diffusion laws has been used as a novelty to study the mass and thermal transmission briefly. Nonlinear radiation, non-uniform heat source/sink and variable thermal conductivity are further considered to explain the heat transportation features. The entire investigation further be exposed to convective Nield boundary conditions. This research intends to give insights into optimizing heat transfer in diverse technical, biological, and environmental sciences by applying these consequences to real-life problems. After applying appropriate transformations, the attained nonlinear non-dimensional system has been solved numerically using Matlab software along with the shooting method. Important characteristics for significant parameters on pertinent profiles were explored and displayed graphically. Furthermore, numerical results of related parameters on significant quantities are explained in tabulated data. The results reveal that the space and temperature-dependent heat absorption/generation parameters and variable thermic conductance show an increasing impact on temperature distribution. Higher estimates of solutal and thermic relaxation parameters slow down the relevant mass and thermic distributions. It further examined that temperature profile shows a significant rise for Greater estimations of temperature ratio variable.