Heat transfer exploration for bioconvected tangent hyperbolic nanofluid flow with activation energy and joule heating induced by Riga plate

Tangent hyperbolic nanofluid enhances heat transfer in various applications, such as cooling systems and electronics, due to its improved thermal conductivity and stability. Therefore current analysis explore the inspiration of joule heating and activation energy on Tangent hyperbolic nanofluid in the existence of motile microorganism. For motivation the impact of Riga plate, variable thermal conductivity, thermal radiation and heat source are the part of this investigation. The appropriate similarity variable are assumed to transformed the set of governing partial differential equations considering the influential effects of Joule heating and activation energy into ordinary differential equations. MATLAB via bvp5c tool is engaged to solve resulting system. The effects of dimensionless parameters like Weissenberg number We, Power-law index Power-law index n, Hartmann number M, thermal radiation Rd, Brownian motion Nb, Prandtl number Pr, Peclet number Pe and thermophoresis Nt on velocity f′(η) temperature θ(η), volumetric concentration of nano particles ϕ(η) and density profile χ(η) are displayed in graphical and tabulated form. It is noted that improving the Weissenberg number We, Hartmann number M and Power-law index n, the speed of flow decreased. By increasing value of Prandtl number Pr the temperature curve reduced, inverse relation is observed for growing value of Rd.