Numerical Study Of Complex Fluids

The numerical investigation of the complex fluids leads to a fascinating research area due to its several practical applications in engineering,industry,and technological processes.The exact/analytical solution of complex fluids flow problems is nearly impossible.In these situations,the numerical methods are extremely effective in determining the approximate solution.Owing to such a captivating significance,the rheological features of the complex fluids are encapsulated upon the basis of the constitutive relationships of power-law and Carreau fluids which is the primary objective of this thesis.Various physical aspects such as stretchable rotating disk(s),steady three-dimensional stagnation point flow,free stream,MHD effects,surface drag forces,and heat transfer through nanofluids in the presence of nonlinear radiation,viscous dissipation,joule heating,and non-uniform heat source/sink are also taken into account.The flow dynamics are modeled in terms of nonlinear partial differential equations(PDEs)subject to no-slip and convective-Nield boundary conditions.The governing PDEs are transmuted into mixed ordinary differential equations(ODEs)through the support of the precise similarity transformations.The obtained ODEs are solved numerically by implementing the well-known Shooting method and the Keller-Box method.The impacts of the governing parameters on the non-dimensional distributions of the velocity,temperature,concentration,and microorganisms are analyzed.A comprehensive graphical comparison between shear-thinning and shear-thickening is constituted.The physical quantities of interest like surface drag forces,heat,and mass transfer rates are also calculated,and the effects are scrutinized.Also,the tabular comparison of the obtained outcomes with previously existing outcomes in a limiting case is made.It is noticed that the emerging parameters have produced a significant influence upon the boundary layer profiles.Furthermore,the work presented in this thesis serves as the precedent for it bridges the missing gap in the existing literature.