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In this paper we study the effects of thermal radiation, heat and mass transfer on the unsteady magnetohydrodynamic(MHD) flow of a three dimensional Casson nanofluid. The flow is subject to partial slip and convective conditions. The traditional model which includes the effects of Brownian motion and thermophoresis is revised so that the nanofluid particle volume fraction on the boundary is not actively controlled. In this respect the problem is more realistic. The dimensionless governing equations were solved using the spectral quasi-linearisation method. This work aims to fill the gap in existing literature by showing the effects of porosity, magnetic field and stretching ratio parameter on the flow of the Casson Nanofluid model over a porous linearly stretching sheet with the incorporation of the nanoparticles on the concentration boundary condition. It is observed that increase in the unsteadiness of the flow tends to decrease the momentum, thermal and nanoparticles volume fraction profiles. The results are benchmarked with previously published results.

UNSTEADY MHD THREE-DIMENSIONAL CASSON NANOFLUID FLOW OVER A POROUS LINEAR STRETCHING SHEET WITH SLIP CONDITION