The two-dimensional unsteady nonlinear coupled partial differential equations (PDEs) describing the flow of a nanofluid with an aligned magnetic field is addressed over a porous stretching/shrinking surface. Moreover, the current study includes the joint effect of suction, velocity slip, heat generation/absorption, thermal radiations, and convective conditions. Initially, using the similarity transformations the governing nonlinear PDEs have been transformed into ordinary differential equations (ODEs) which are then solved with the help of bvp4c package in MATLAB. In order to get the graphical results of the heat transfer and friction drag, some appropriate values are assigned to the parameters arising from the above several effects. These results declare that escalating the values of nanoparticles concentration, suction and unsteadiness parameter escalates the friction drag whereas it reduces with the escalation of Hartmann number and the slip parameter. Furthermore, the rate of heat transfer escalates with the escalating values of the concentration, suction, aligned magnetic field angle and the radiation parameter, as well as the escalation of Hartmann number, heat source parameter and the slip parameter causes to reduce the rate of heat transfer. Finally, it is found that the rate of heat transfer and the friction drag continuously enhances and declines for the rising values of stretching parameter respectively.