3-D axisymmetric Carreau nanofluid flow near the Homann stagnation region along with chemical reaction: Application Fourier's and Fick's laws

Abstract The principle concern of the current article is to explore the effectiveness of three dimensional inclined MHD Carreau nanofuid flow near the Homann stagnation point region with Darcy–Forchheimer and chemical reactive species. In modeling, Cattaneo–Christov models are implemented to explore the heat and mass assignment (using Fourier’s and Fick’s laws theory). These models are developed by using classical Fick’s and Fourier’s laws, in addition with solutal and thermal relaxation times respectively. The system of PDEs is renovated into nonlinear ODEs by using appropriate transformations and then solved by shooting scheme (Cash and Karp). The outcomes of the different physical parameters on dimensionless velocity, temperature and concentration distributions are evaluated through graphs. The friction factor, mass and heat transfer rates are addressed numerically through graphs and tables. It is found that the velocity profile reduces with an increasing value of Weissenberg number, Hartmann number, porosity parameter and inertia factor. Moreover for higher values of thermal relaxation parameter, Prandtl parameter, concentration relaxation parameter, chemical reactive species and Lewis number, the temperature and concentration profiles illustrate reducing behavior.

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