A numerical approach to radiative ternary nanofluid flow on curved geometry with porous media and multiple slip constraints

Abstract Energy scarcity is among the biggest global challenges which is aggravating with each passing day due to ever increasing energy demands of contemporary livings as well as industrial requirements verses finite and rapidly depleting fossil reserves of our planet. Improving energy efficiency is one of the effective ways to cope with this challenge. Ternary nanofluids (TNF) are a dynamic novel class of fluids possessing unique thermophysical and other functional characteristics making them the most efficient heat transporting fluids of 21st century. These fluids have promising applications in major manufacturing and processing industries, emerging nanotechnologies and bio‐medical domains. The novel theme of this pragmatic study is analysis of bio‐convective TNF flow by stretchable porous curved surface considering effects of thermal radiation, chemical reaction, magnetic field, and various slip constraints. The modeled partial differential equations (PDEs) governing fluid flow under presumptions are converted to ordinary differential equations (ODEs) by suitable transformation relations. Numerical solutions are presented in graphical sketches and tabular forms using MATLAB bvp4c package for physical interpretations of sundry controlling variables impacts. To gauge veracity of computed results, comparisons with already published results have been presented. Moreover, the statistical concept of Pearson correlation coefficient has been employed to prove strong relationship between slip parameters and physical quantities. Research concludes that thermal efficiency of TNF improves by rising velocity slip, magnetic force, curvature factor, thermal radiation, and thermophoresis effects. Velocity slip and thermal slip improve concentration boundary layer. Gyrotactic microorganisms’ density improves for higher velocity slip, temperature slip while depreciates for larger values of nanoparticle concentration slip and motile organism density slip.