Analytical Study of Cattaneo-Christov Heat Flux Model for Williamson-Nanofluid Flow Over a Slender Elastic Sheet with Variable Thickness

摘要

An analysis has been carried out to examine the Williamson nanofluid flow over a slender elastic sheet with variable thickness using Cattaneo-Christov theory. To explore the heat transfer characteristics, Cattaneo-Christov heat flux model is used instead of classical Fourier's law. The nonlinear governing equations with suitable boundary conditions are initially cast into dimensionless form by similarity transformations. The optimal homotopy analysis method is proposed for the development of analytical solutions. Special prominence is given to the non-dimensional velocity, temperature, concentration and their graphical behavior for various parameters are analyzed and discussed. The impact of Cattanneo-Christov heat flux model is to reduce the temperature and concentration distribution.