Abstract:
The aim of the thesis is to demonstrate comparative analysis of two non-Newtonian fluid models
such as Cross viscosity model and Carreau viscosity model. These models are significant for
both low and high shear rate regions. The problem of only Cross viscosity model is established
to examine heat source in unsteady, MHD nanofluid flow subject to convective boundary condi tions past a stretching cylinder incorporated with variable thermal properties. A mathematical
model for comparison of both fluids with constant thermal properties are employed for analysis.
In transforming governing partial differential equations into ordinary differential equations, sim ilarity variables are utilized that possesses a non-similar solution. The numerical solutions are
found utilizing MATLAB package bvp4c. The velocity, temperature and concentration curves
for various parameters are plotted graphically. The values for the coefficient of skin friction,
heat transfer rate, mass transfer rate and micro-organisms local density for various choices of
parameters are correspondingly tabulated. It is found that, in absolute sense Carreau nanofluids
experience higher drag force in comparison to Cross nanofluids with effect of rising parameters
like magnetic, porosity, Weissenberg, unsteadiness, temperature buoyancy and concentration
buoyancy parameter. Moreover, there is smaller gyrotactic micro-organisms local density for
Carreau fluids in comparison to Cross fluids.
