Quasi-linearized Polynomial Collocation Method for Solving MHD Casson Nanofluid Mixed Convection
Keywords:
Fluid dynamics, Spline Polynomial, Nonefluid, Spectral CollocationAbstract
The present study focuses on the numerical and graphical analysis of the mechanism of thermal diffusion and diffusion thermo over a mixed convection Casson fluid flow over a vertical cone with porous material under the effects of Brownian motion and thermophoresis. Using transformable variables, the proposed model is transformed into a system of non-linear ODEs. Then, the approximate solutions are established using polynomial models in conjunction with spectral collocation. The impact of some important parameters, such as the Brownian motion parameter, the Prandtl number, the magnetic parameter, the Casson parameter, the Lewis number, the Dufour parameter, the Soret number, the velocity profile, the temperature, the diffusion, the skin friction coefficient, the Nusselt number, and the Sherwood number, is examined numerically. Also, several cases are resolved and graphically compared, illustrating the improved precision of the current approach.
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