Orthogonal and Non Orthogonal Stagnation Point Flows

Abstract

In this dissertation, the orthogonal and non orthogonal stagnation point flows for different types of fluids have been investigated. We analyze the heat and mass transfer effects on magnetohydrodynamics (MHD) orthogonal stagnation point flow in viscoelastic fluid with Cattaneo-Christov heat flux model. Furthermore MHD orthogonal stagnation point flow of Williamson fluid over a stretching cylinder with variable thermal conductivity and homogeneous/heterogeneous reaction is studied. The MHD oblique stagnation point flow of nanofluid over a convective stretching surface has also been presented. To model the system of partial differential equations, different emerging laws of Physics are used. To convert the system of partial differential equations into the ordinary differential equations, some suitable transformations named as the similarity transformations are utilized. Further, the system of ordinary differential equations is tackled by the classical shooting method to obtain the numerical solution of the proposed problems. Tables are constructed and graphs are plotted to observe the trend of those parameters for which the significant effects are observed. To validate the numerical solution, the MATLAB built-in function bvp4c is also implemented. An excellent agreement is observed in the results obtained by two different ways i. e. shooting method and built-in function bvp4c. A comparison with the previously available literature in limiting cases is also performed to strengthen the reliability of the code. It is analyzed that in case of the non orthogonal stagnation point flows for the Newtonian fluid, the point of zero skin friction along the wall undergoes a shift in the position with the variations in the magnetic parameter, angle of incidence and sretching ratio parameter.