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An investigation is made to examine the influence of chemically reactive species and mixed convection on the magneto-hydrodynamic (MHD) Williamson nanofluid induced by a nonisothermal cone and plate in porous medium. In the boundary layer region, nanoparticles deliver potentials in increasing the impact of convective heat transfer. Joule heating effect is also considered. Similarity transformations are used to convert the coupled partial differential equations into a set of nonlinear ordinary differential equations with variable coefficients. The transformed governing nonlinear boundary layer equations are solved numerically by using amended form of Fehlberg's method. It is adequate to discuss several physical mechanisms such as analytical velocity, temperature and concentration profiles and also closed-form skin friction/mass transfer/heat transfer coefficients, all as given in the present analysis. The numerical results acquired for several physical mechanisms are revealed through plots for two different cases (cone and plate). It is found that temperature profile increases for large values of thermophoresis parameter, Brownian motion and Eckert number, but reduces for large values of Prandtl number. Moreover, concentration profile reduces for large values of Lewis number and Brownian motion. [ABSTRACT FROM AUTHOR]

Recent study illustrates the systematic survey of boundary layer heat and mass diffusion (Cattaneo-Christov model) of Jeffery fluid passed by an inclined stretching surface in the occurrence of magnetic field. Prevailing non-linear PDEs are converted into non-linear ODEs and then the problem is solved via RK-4 technique (using coefficients of Cash and Craps). The related important physical parameters such as M magnetic parameter, λ T thermal buoyancy parameter, λ C concentration buoyancy parameter, γ inclined stretching sheet parameter, PrPrandtl number, N b Brownian motion parameter, N t thermophoresis parameter and Le Lewis number are plotted graphically for velocity, temperature and concentration distributions. In order to check the double diffusive phenomenon, the impact of fluid relaxation parameter δ m , thermal relaxation parameter δ e and nanoparticle concentration relaxation parameter δ c are reflected through tables and graphs. The main theme of present article is to explore its unique attempt towards the generalized version of conventional Fourier's law and Fick's law at nanostructure level. Assumption is drawn on the source of entire analysis and it is clear that the velocity and temperature profiles reduces for increasing values of fluid relaxation parameter, inclined sheet, magnetic field and Prandtl number. [ABSTRACT FROM AUTHOR]