Heat transfer analysis of Casson dusty fluid flow along a vertical wavy cone with radiating surface

A boundary layer analysis is presented to analyze the effect of non-linear surface radiation on Casson-dusty particulate suspension flow past a vertical wavy cone. Stefan-Boltzmann law is employed in the boundary conditions to express the contribution of surface radiative heat flux. Appropriate sets of transformations are used to convert the governing equations into non-dimensional, non-conserved form and then numerical scheme is applied to obtain the solutions. Our numerical results are shown graphically under the variation of important non-dimensional parameters. Comparison is also established with the available literature and it is observed that our results are in good agreement. From this study it is noticed that amplitude of the wavy cone, a, and half-angle of the cone, ϕ, increase the rate of heat transfer. Furthermore, large values of Casson rheological parameter β results in considerable enchantment in fluid velocity but an opposite behavior is noticed on temperature profiles.