Heat generation and nonlinear radiation effects on MHD Casson nanofluids over a thin needle embedded in porous medium

Abstract

In this paper, the non-Newtonian Casson flow of nanofluid past a thin needle is considered. The effect of combined nonlinear thermal radiation and internally generated heat on porous embedded fluid flow, heat transfer and volume concentration are studied. This study investigates the transport phenomena for flow over fixed needle and moving needle through stationary fluid. As the mechanics describing fluid dynamics are highly successive and nonlinear. The Runge-Kutta-Fehlberg forth-fifth (RKF-45) numerical method with shooting scheme is applied to obtain the approximate solution. Analysis obtained from approximate solution were utilized to investigate the parametric effect on fluid transport and heat transfer. Results obtained reveals enhanced fluid heat generation during transport improves fluid temperature at a high rate within 0 ≤ η ≤ 10 for moving fluid phenomena, while for moving needle fluid temperature slightly increases within0 ≤ η ≤ 4. Similarly, radiation effect on moving fluid shows high rate of heat transfer while for moving needle flow, rate of heat transfer improves slightly has radiation parameter is varied between 0.2 ≤ R ≤ 0.4. Obtained results compared with literatures shows good agreement. This study provides useful insight to practical applications including aircraft technology, manufacturing, medicine and solar nanofluids systems amongst others.