Numerical Analysis of the Nanofluids Flow Near the Stagnation Point over a Permeable Stretching/Shrinking Wall: A New Modeling

摘要

The stagnation-point flow towards a permeable linearly stretching/shrinking wall immersed in copper/water nanofluids istreated numerically using Runge–Kutta–Fehlberg Method (RKF45). A realistic contemporary nanofluids model is employedto modify the involved thermo-physical properties including viscosity and thermal conductivity. This new model enables usto specifically explore the effects of nanoparticles size and heat transfer direction (say cooling or heating) on the evolutionof velocity and temperature profiles as well as on the main quantities of engineering interest. In this respect, it is shownhow these effects play significant roles in the evolution of skin friction coefficient and convective heat transfer coefficient. Itshould be pointed out that these effects are obscure respecting the classic modeling of nanofluids. It is also found that dualsolutions (say upper and lower) appear and a stability analysis revealed that the solutions associated with the lower branchare not likely to reside in the actual physics.