Thermal and concentration diffusion in Jeffery nanofluid flow over an inclined stretching sheet: A generalized Fourier's and Fick's perspective

• Published in: Journal of molecular liquids 2018-02, Vol.251, p.7-14
• Main Authors: Khan, Mair, Shahid, Amna, Malik, M.Y., Salahuddin, T.
• Format: Article
• Language: English
• Subjects: Concentration diffusion; Inclined stretching sheet; Jeffery nanofluid; MHD flow; Shooting method (Cash and Carp); Thermal diffusion
• ISSN: 0167-7322; 1873-3166
• DOI: 10.1016/j.molliq.2017.12.001

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, λT thermal buoyancy parameter, λC concentration buoyancy parameter, γ inclined stretching sheet parameter, PrPrandtl number, Nb Brownian motion parameter, Nt 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 δm, thermal relaxation parameter δe and nanoparticle concentration relaxation parameter δc 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. •Cattanoe-Chirstov influence of Jeffery nanofluid over a stretching sheet has been discussed.•Governing equations have been cracked by shooting technique (Cash and Carp).•More conventional version of so called Fick's and Fourier's law have been examined below the illumination of magnetic flied.•Classical Fick's law contributes higher concertation profile only for δc.