Numerical analysis of Carreau fluid flow for generalized Fourier's and Fick's laws

Abstract

The flows of fluid due to an upper horizontal surface of paraboloid of revolution have great significance in the field of science and aerodynamic industry such as surface of a rocket, bonnet of a car and a pointed surface of an aircraft etc. Hence, present analysis focuses on the study of bioconvection MHD Carreau nanofluid flow over a paraboloid surface of revolution. Cattaneo-Christov model have been constructed by using universal Fourier's and Fick's laws to explore the heat and mass flux phenomena. The governing PDE's are transformed into ODE's via similarity approach and then numerically solved by shooting technique. The effects of relevant non dimensional governing physical parameters on velocity, energy and concentration profiles along with wall friction factor, wall heat and mass transfer coefficients are deliberated with help of graphs and tables. The calculated results for heat and mass diffusion (using generalized Fourier's and Fick's laws) are better than classical Fourier's and Fick's laws. Thus, the main aim of current paper is to calculate the unique results for generalized Fourier's and Fick's laws on nanoscale.