Entropy analysis for second grade nanomaterials flow with thermophoresis and Brownian diffusions

Numerical approach is implemented for irreversibility analysis of second grade nanomaterials flow with slip and Lorentz force effects. Joule heating and radiation effects are present in heat expression. Thermophoresis and random motion characteristics are incorporated. Entropy analysis is studied through thermodynamics second law. The governing partial systems are transmitted into ordinary systems by appropriate variables. The resultant ordinary systems are solved through numerical scheme (Newton built in-shooting method). Here our main theme is to address heat transportation and irreversibility (entropy generation) analyses. Graphical illustrations analyze the variation in flow, entropy rate, thermal field and concentration descriptions influenced by important dimensionless variables. An increment in velocity field is noticed versus magnetic variable. An amplification in curvature variable improves thermal field and velocity. An intensification in radiation effect corresponds to augments the entropy and thermal distribution. An opposite trend holds for thermal and concentration distributions through random motion variable. A reduction occurs in entropy analysis with variation in slip variable.