Abstract
In this study, the competency of numerical computational framework based on Lobatto IIIA technique is utilized for dynamical analysis of the Darcy-Forchheimer flow of Sisko nanomaterial with nonlinear thermal radiation. The resultant PDEs of the Sisko fluid model expressions are transformed into system of nonlinear ODEs by exploiting the similarity variables. Graphical representations and numerical illustrations are used to envisage the characteristics of various physical parameters of interest on velocity profile, nanoparticles concentration, and temperature distribution of Sisko fluidic system. In addition, skin friction and Nusselt number are numerically examined with observation that the material parameter of Sisko fluid increases the velocity profile as well as Nusselt number while decreasing temperature, concentration profiles, and skin friction coefficient.
Highlights
Material of the type having pores is termed as porous medium, in fluid dynamics; usually it is considered that the porous medium is filled with nanofluid
The study of nanofluid flow through porous medium has wide range of applications due to the fact that it has become a field of high interest for researchers, mathematicians, engineers, geologists, and architectures
Transfer of heat in porous medium has extensively been used in the heat pipe technology, nonwoven ingredients, production of papers, electronic based technology, storage of energy, etc. [1,2,3,4]
Summary
Material of the type having pores is termed as porous medium, in fluid dynamics; usually it is considered that the porous medium is filled with nanofluid. Thermal radiation, either linear or nonlinear, has a very significant role in different high temperature processes in the field of fluid dynamics It has diverse uses in several types of power plants and industries. Some renowned researchers worked on thermal radiation [15,16,17,18,19,20,21,22,23] In these studies, the radiation with nonlinearity was introduced by the researchers with in fluid flow models. Some recent work related to Non-Newtonian fluids, radiation, porous medium, and nanofluid is provided here [34,35,36,37] These are the motivating factors for the authors to investigate in the model and analysis of nonlinear radiated nanofluid flow of Sisko fluid. Outline of the rest of the paper is given as follows: mathematical model of the problem is represented in Section 2, in Section 3, results and discussion of numerical experiments are provided, while the conclusion and future research work are presented in the last section
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