Abstract
This study aims to examine the effect of governing parameters on the flow and heat transfer of the steady mixed convection flow embedded in porous medium with convective boundary conditions. The resulting system of nonlinear partial differential equations is solved numerically. The special case at the lower stagnation point of the cylinder is observed and the case where bottom surface of the cylinder is heated by convection from hot fluids is considered. Numerical solutions are obtained for the velocity, temperature and nanoparticle volume fraction profiles for two values of governing parameters namely convective parameter γ and Lewis number Le. It is found that as the convective parameter γ increases, velocity profile, temperature and nanoparticle volume fraction profile also increases.
Highlights
The influence of thermal conductivities in many fields of applications such as energy production, supply to electronic and transportation contributes to an accelerating interest in the development of nanofluids
Thermal conductivity can be improved by suspending metallic nanoparticles within it (Tiwari & Das [1])
It is worth mentioning that in this study, we have followed closely the work of Tham et al [9] where we extended their problem for the case of convective boundary condition where the bottom surface of the cylinder is heated by convection from hot fluids
Summary
The influence of thermal conductivities in many fields of applications such as energy production, supply to electronic and transportation contributes to an accelerating interest in the development of nanofluids. Nield & Kuznetsov [3] pioneered the study of porous medium filled in nanofluid by presenting the influence of nanoparticle on free convection past a vertical plate, using Buongiorno’s model. This problem is originally extend from the classical problem of porous medium studied by Cheng and Minkowycz [4]. Notwithstanding, very limited work has been undertaken to investigate mixed convection flow past cylinders immersed in nanofluid. Such types of problems are crucial in many engineering devices and in the processes involving high temperatures.
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