Stability of Partial slip, Soret and Dufour effects on unsteady boundary layer flow and heat transfer in Copper-water nanofluid over a stretching/shrinking sheet

The stability of unsteady boundary layer flow and heat transfer over stretching/shrinking sheet immersed in Copper-water nanofluid is studied with the presence of partial slip, Soret and Dufour effects. Tiwari and Das model is considered to solve the nanofluid boundary layer problem. The system of partial differential equations is transformed to ordinary differential equations using similarity transformation and was solved using bvp4c program in Matlab software to obtain the numerical solutions. The results were displayed graphically and the figures revealed that the dual solutions with the presence of partial slip, Soret and Dufour effects were exist for a certain range of stretching/shrinking parameter. Finally, the stability analysis is applied in order to determine the stability of the solution.