Analytical study for MHD flow of Williamson nanofluid with the effects of variable thickness, nonlinear thermal radiation and improved Fourier’s and Fick’s Laws

• DOI: 10.1007/s42452-020-1995-x
• Publication Date: 2020-02-18T11:04:03Z
• Authors: Sumit Gupta; Devendra Kumar; Jagdev Singh
• Keywords: 0103 physical sciences; 01 natural sciences

The key aim of the present work is to analyze the magnetohydrodynamic 2D flow of Williamson type nanofluid. Heat and mass transfer impacts are carried out in the manifestation of nonlinear thermal radiation, Cattaneo–Christov heat and mass flux models and varying thicker surface. By applying the appropriate similarity transformations, the mathematical equations of velocity, temperature and volume fraction transform to NODEs. An analytical scheme is pragmatic to estimate the convergence solutions in terms of power series. The dimensionless velocity profile, temperature profile and nanoparticle volume fraction with the administrative physical aspects are depicted through graphs. It is evidently ostensible that the dimensionless velocity declines for the augmented index parameter and wall thickness while cumulative values of M and $$ \beta $$ , the horizontal fluid velocity decreases. Temperature specie upsurges with rising of Nb, Nt, $$ n,\;\beta ,\;R_{d} ,\theta_{w} $$ and M. Consequently demotes with the higher values of Pr and $$ De_{1} . $$ Nanoparticle volumetric specie escalates with the growing effects of Nt, while it diminishes with Nb, Sc and $$ De_{2} . $$ Comparison is the key procedure for validation our results with the earlier literature.