Bioconvective nonlinear radiative flow of cross nanofluid due to porous oscillating surface with variable thermal conductivity and Cattaneo–Christov model

Abstract

Present exploration elucidates the bio-convective time-dependent flow of Cross nanoparticles across periodically stretched surface immersed in porous space. Modified diffusion theories are employed to evaluate mass and thermic transference attributes effectively. Aspects of thermic transformation are additionally inspected with nonlinear radiation, variable thermic conductivity and heat generation characteristics. Magnetic consequences are deployed for physical importance. Dimensionless expressions are accomplished with pertinent transformations, and then analytically elucidated by homotopic technique. Physical importance of leading variables on curves of skin friction, temperature, microorganisms and concertation are premediated graphically. Numerical computations are executed to briefly notice the significance of relative variables on local Sherwood, motile density and Nusselt numbers and organized in respective tables. It is acknowledged that velocity curves display declining tendencies for enlarging buoyancy ratio, bio-convective Rayleigh and Weissenberg numbers. The present study accentuated that temperature boosted prominently for heat generation and variable thermic conductivity. The attained outcomes further divulge that concentration display diminishing results for solutal relaxation variable while such declining outcomes ensued in temperature for thermic relaxation variable. Furthermore, microorganism’s curves display declining responses for bio-convective Lewis and Peclet variables. Finally, shear wall force improved for magneto-porous variable but lessened for Weissenberg number.