Similarity solution of air and nanofluid impingement cooling of a cylindrical porous heat sink

In the present paper, a numerical study on flow and heat transfer of air/nanofluid impinging jet flow through a cylindrical porous heat sink has been done. The cooling fluid flows uniformly through the porous foam over the hot disk. Conservation equations of mass, momentum and energy in form of partial differential equation, by using similarity variables, converted to nonlinear ordinary differential equations and finally these equations have been solved numerically. Also, results are validated through comparison with those of a commercial CFD code with an acceptable agreement. In this study, effects of dimensionless parameters in the form of geometrical, porous media characteristics and cooling fluid properties on the velocity profile, temperature profile and average Nusselt number have been scrutinized. Results indicate that addition of nanoparticles, thermal conductivity ratio increment and aspect ratio reduction will enhance the heat sink thermal performance.