Unsteady, three-dimensional, hydromagnetic, nanofluid flow via a circular disk in porous medium is considered. The fluid motion is subject to disk rotation and time-based sinusoidal oscillations. The flow problem is normalized via similarity variables. Partial slip boundary conditions on velocity, concentration, and temperature are considered. A well-established numerical technique (successive over relaxation method) is used for the time-based flow problem. Results are discussed for both the time-based and linearly rotating disk case. Graphical representations for one, two, and three dimensions are sketched. The results are also discussed through tabular forms. K E Y W O R D S magnetohydrodynamics, nanofluid, oscillatory rotating disk, partial slip, porous medium, time-dependent flow 1 | INTRODUCTIONThe fluid flow concept through rotating disk systems has attracted significant attention from research scientists world-wide as a key area for future modernization and development in industrial processes. The major applications of such systems include the modeling of conditions that are found inside the wheel spacing of gas turbines, rotation of disks in an infinite rotating disk or resting fluid, contra-rotating disks for wheel space modeling in contra-rotating disks of existing engines, rotating cavity to model the conditions between compressor disks or corotating turbines, thin film fluid flow through a rotating surface, conical diffuser circulative flow, impinging jet disk cooling, shrouded rotation of disks and so forth. Moreover these systems are widely applicable in electrochemistry, power engineering, chemical engineering, aerodynamical