The use of nanoparticles in the treatment of tumors/cancer is a growing new filed of nanoscience. In such a field, the physicians always search for new nano-materials to developing method of treatment. In the present work, relatively new kinds of nanoparticles are considered, the Cu-bricks, Cu-cylinder and the Cu-platelets. The nonlinear differential equations governing the flow and heat transfer of nanofluids suspended with the Cu-bricks/cylinder/platelets-nanoparticles have been solved exactly in the presence of the slip conditions of first and second orders. The results have been discussed through tables and graphs. In view of the obtained results, it was found that the Cu/platelets-water nanofluid temperature > Cu/cylinder-water nanofluid temperature > Cu/bricks-water nanofluid temperature,  which means that the Cu/bricks-water nanofluid enjoyed a higher temperature over the other two kinds, which may be useful in the treatment of tumors/cancer. Besides, it was also found that the value  of the effective temperature gradient at the wall decreases with the increase of the first and the second slips parameters.

nanofluid, bricks, cylinder, platelets, nanoparticles, boundary layer, first slip, second slip, exact solution.