In this article, we examined the magnetohydrodynamic Cattaneo-Christov bio convective flow of Carreau liquid over a variable thickness sheet with irregular heat sink/source. The fluid motion is supposed to be time dependent and not turbulent. Firstly, proper transmutations are pondered to metamorphose the basic flow equations as ODE. The solution of these ODEs is procured by the sequential execution of R.K. and Shooting numerical treatments. The density of motile organisms, concentration, temperature and velocity distributions for dissimilar values of non-dimensional parameters are perused via graphs. Further, we analyzed the impact of same parameters on friction factor, local Nusselt number and the rate of mass transfer coefficients and presented in table. Results indicate that the distribution of the density of motile organisms is an increasing function of Peclet and Lewis numbers. Fluid velocity is proportional to the Weissenberg number. Also the space dependent heat sink/source parameters perform obligatory role in the mass and heat transport performance.
MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness