The effect of variable thermal conductivity on the characteristics of heat transfer and
mechanical properties of a moving surface on a casson-nanofluid flow as a coolant has
been studied in this paper. We used similarity transformation method to transform the
equations of the governing boundary layer into ordinary differential equations which
are solved numerically using a mix of fourth order Runge Kutta method and find root
technique. Different values relevant parameters have been studied on the features of
velocity, temperature and the profiles of concentration and discussed in details for
different values of various parameter as shape parameter, heat source parameter,
radiation parameter and magnetic parameter. The results were compared with previous
published researches and obtained it in a good agreement and the results were
tabulated. Furthermore, Nusselt number, Sherwood number and the Skin friction values
with different parameters were calculated and the influence of theses physical quantities
on the mechanical properties on the surface are analyzed and discussed in details.