Some problems of non – Newtonian nanofluids motion with Cattaneo – Christov

Abstract

Thesis abstract The studies presented in this thesis deal with some non-linear problems for the peristaltic flow of some non-Newtonian nanofluid systems of partial differential equations. We have presented mathematical models of nanofluids flowing through different human organ shapes. This thesis treats with the non-Newtonian fluids flow under the impact of Cattaneo – Christov heat flux theories. The influences of thermal radiation, magnetic field, porous medium, Soret & Dufour, non – Darcian porous medium, joule heating, viscous dissipation, electric field, micropolar, couple stress, Hall current, chemical reaction, and heat generation on fluid flow are deemed in some studies. In addition, the slip conditions for velocity and temperature are supposed in some studies. The convective conditions for nanofluid concentration and fluid concentration are also considered in some studies. The long-wavelength and low Reynold's number approximations are assumed in some studies to alleviate the mathematical multiplications of the resulting systems of equations. The models are solved by different methods, such as the traditional perturbation method and the Homotopy perturbation method (HPM). Results for the distributions of the axial velocity, stream function, spin velocity, temperature, concentration, and nanofluid concentration are obtained in the analytical two-dimensional forms. In addition, skin friction coefficient and nano Sherwood number results are obtained in the analytical two dimensions form in some studies. The streamlines graphs are offered in the terminus in some studies, which elucidates the trapping phenomenon. The effects of various physical parameters on the foregoing distributions are illustrated and drawn graphically through a set of figures.