Heat transfer analysis in bio-convection second grade nanofluid with Cattaneo–Christov heat flux model

Here we examined heat and mass fluxes in second-grade nanomaterial through the Cattaneo–Christov model along a moving surface. The surface is subject to melting conditions. Nanofluid features are accounted through the Boungiorno model for nanomaterials. Heat transfer is carried through joule heating and, thermal radiation. In addition, the gyrotactic microorganism is addressed. The considered problem is modeled and governing partial differential equations are converted into ordinary differential equations by introducing suitable variables. The analytical technique (homotopy analysis method) is used for the computation of solutions of these ordinary differential equations. For the convergence region, h-cut curves have been sketched and presented graphically. Velocity, concentration, temperature, and microorganism field are evaluated graphically under influential parameters.