Numerical analysis of effective Prandtl model on mixed convection flow of γAl2O3–H2O nanoliquids with micropolar liquid driven through wedge

Abstract

Nanomaterials offer great potentials in enhancing the convective heat transfer performance whereas the Prandtl number creates an important responsibility in controlling the thermal and velocity boundary layers. Therefore, the impacts of models of effective Prandtl number, thermal conductivity and viscosity are collected through experimental data on mixed convection flow of micropolar γAl2O3–H2O nanoliquid from wedge are explored. The nonlinear governing PDE’s are transmuted into ODE’s through similarity variables. These equations are then solved through Nachtsheim–Swigert shooting method with Runge–Kutta Fehlberg technique. Buoyancy assisting and buoyancy opposing flows are taken into consideration. The behavior of velocity, micro rotation and temperature distribution as well as the skin friction and the Nusselt number are depicted graphically by taking different parameters. The results reveal that the multiple solutions are available in opposing buoyancy flow only. It is also scrutinized that the skin friction enlarges due to micropolar parameter in first solution and decreases in second solution, while the Nusselt number reduces in first solution. In order to verify the obtained results a correlation is provided with previous work.