The effect of magnetic field on Marangoni convection in a nanofluid layer with internal heat source

Magnetic field in Marangoni thermal instability in an infinite parallel plane of nanofluid layer together with internal heat source is investigated using linear stability theory. Two important properties of thermophoresis and Brownian motion are included in the model and two types of lower free–upper free and lower rigid–upper free bounding systems of the model are considered. The system is assumed to be heated from below and the eigenvalue equations are gained from a normal mode analysis and executed numerically by using Galerkin technique. Influences of magnetic field within nanofluid layer always stabilize the system and the initiation of thermocapillary instability in an infinite parallel plane of nanofluid layer gets advanced with the increased in internal heat source.