The present paper is a numerical study of heat transfer and pressure drop of two nano-fluids including water as base fluid with Al 2 O 3 nano-particles inside a square channel having a cylinder inside, with and without fin under constant heat flux condition by using two-phase Euler-Lagrange approach. In this paper, numerical investigation has been done for various combinations of base fluid, nano-particle size, and concentration through a straight cylinder. Simulation has been performed in a laminar flow regime using finite volume method. Besides, the thermal boundary condition of constant uniform heat flux on the cylinder wall was applied. The results show that the increase of Reynolds number and nano-particles volume concentration have considerable effects on heat transfer coefficient enhancement. For nano-particles, the heat transfer coefficient decreases when nano-particles diameter increases. The passive way used in this study leads to higher pressure drops. For all fluids under consideration, pressure drop escalated with Reynolds number. Adding nano-particles to the base fluid leads to rise in pressure drop and this effect is more intensive for higher concentrations. Regardless of nano-particles type and their volume concentration, the skin friction coefficient increases with a rise in Reynolds number.