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

• Published in: International journal of heat and mass transfer 2018-12, Vol.127, p.589-596
• Main Authors: Siddiqa, Sadia, Begum, Naheed, Ouazzi, A., Hossain, Md. Anwar, Gorla, Rama Subba Reddy
• Format: Article
• Language: English
• Subjects: Boundary conditions; Boundary layer; Boundary layers; Casson fluid; Computational fluid dynamics; Dusty fluid; Fluid dynamics; Fluid flow; Heat flux; Heat transfer; Parameters; Rheological properties; Stefan-Boltzmann law; Surface radiation; Temperature profiles; Vertical wavy cone
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2018.08.022

•The effect of surface radiations on Casson-dusty particulate suspension past a vertical wavy cone is presented.•Stefan-Boltzmann law is employed in the boundary conditions to express the contribution of surface radiative heat flux.•The transformed system is integrated numerically by means of an implicit finite difference scheme.•It is found that the dominant impact of wavy cone geometry configurations in terms of amplitude parameter, a, and cone half-angle, ϕ, is to increase the rate of heat transfer.•Large values of Casson rheological parameter β results in strong acceleration, whereas increment in β on temperature profiles. 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.