Numerical Solution of Stratified Flows

Abstract

The focus of this thesis is on the rheological features of Newtonian and non-Newtonian fluid models in a single or double stratified medium along with the various physical belongings namely, externally applied magnetic field, stagnation point, mixed convection, thermal radiation, Joule heating, heat generation/absorption, chemical reaction, and nanofluid flow field. The considered non-Newtonian fluid models includes Tangent hyperbolic fluid model, Eyring-Powell fluid model, Casson fluid model and Williamson fluid model. The case-wise mathematical modeling of the said fluid models along with the above mentioned physical effects is developed. The obtained differential system in terms of partial differential equations is translated into system of ordinary differential equations via suitable set of transformation. For solution purpose the numerical method named “Shooting method” is adopted. The quantity of interest includes the velocity, temperature, concentration, skin friction, heat transfer rate and mass transfer rate. The impact of flow controlling parameters are examined and offered by way of both line graphs and tables. Further, thesis contains evaluation of hydrodynamic forces namely drag force and lift force experienced by various regular shaped obstacles. Such obstacles are installed towards ongoing fluid in a rectangular channel. Both the Power law and viscous fluid models are entertained in this direction. The physics is developed in terms of partial differential equations. To obtain better solution, the finite element method is used. The quantities of interest includes the primitive variables namely velocity and pressure. The obtained outcomes are shared with the help of both contour plots and line graphs. The detail analysis on examination of forces is offered. The majority of the simulated results of present thesis are validated by developing comparison with an existing literatures which leads to surety of our findings. The completion of work on this thesis brings ten (10) research publications in well reputed peer reviewed international journals.