Melting phenomenon of non-linear radiative generalized second grade nanoliquid

Abstract

This article communicates the heat transfer improvement with bioconvective-flow of generalized second-grade nanofluid under melting mechanisms through a stretched surface in the occurrence of microorganisms. The impacts of activation action and nonlinear thermal radiation are considered. Heat dependent thermal conductivity and thermal diffusivity with the impacts of thermal and solutal Robin's conditions are adopted. The set of PDE's is reducing into coupled ordinary differential equations by introducing appropriate similarity transformation. The numerical solution of the dimensionless ordinary ones is attained by implementing a numerical scheme specifically the bvp4c tool in MATLAB. Aspects of distinguishing vital parameters against velocity field, heat profile, the concentration of nanoparticles, microorganisms' field are revealed graphically. The numerical estimation of skin friction coefficient, temperature transfer rate, mass transfer rate, and microorganisms mass transfer rate are also acquired in tabular data. This scrutiny reported that the flow of fluid is improved with increment in the magnitudes of modifies second-grade fluid parameter while reducing for buoyancy ratio parameter. Furthermore, the heat field reduces for a larger melting number. The microorganism's field is riches for greater microorganisms Biot number.