Radiation effect on Marangoni convection boundary layer flow of a nanofluid

Purpose: In this paper, we present a mathematical model for Marangoni convection boundary layer flow with radiation and different types of nanoparticles, namely, Cu, Al2O3, and TiO2 in a water-based fluid.Method: The governing equations in the form of partial differential equations have been reduced to a set of ordinary differential equations by applying suitable similarity transformations, which is then solved numerically using the shooting method.Results: Numerical results are obtained for the surface-temperature gradient or the heat transfer rate as well as the temperature profiles for some values of the governing parameters, namely, the nanoparticle volume fraction φ, the constant exponent β, and thermal radiation parameter Nr.Conclusion: The results indicate that the heat transfer rate at the surface decreases as the thermal radiation parameter Nr increases.