Electro-magnetohydrodynamics hybrid nanofluid flow with gold and magnesium oxide nanoparticles through vertical parallel plates

•The hybrid nanofluid flow under suspension of Gold and magnesium oxide nanoparticles (Au/MgO-NPs) are considered.•Sodium alginate third-grade non-Newtonian fluid is adopted as the base fluid.•The effect of electro-magnetohydrodynamics is also taken into account.•Role of most significant parameters is examined and presented graphically.•A comparison with the existing literature is made and an excellent agreement is seen.