Numerical Simulation of Mixed Convective Nanofluid Flows in a Square Cavity


The aim of this thesis is to investigate the mixed convective nanofluid flow in the square cavities with different physical effects. Initially, the influence of the cavity inclination angle on the mixed convective nanofluid flow in a double lid-driven cavity shall be considered. Then the magnetohydrodynamics mixed convective nanofluid flow and entropy generation in a double lid-driven square cavity with discrete heating will be examined. Furthermore, the mixed convection in nanofluid filled lid-driven square cavity with an isothermally heated square blockage inside with magnetic field effect will also be analysed. At the end, the mixed convective nanofluid flow in a lid-driven square porous cavity using the Ko-Kleinstreuer-Li model considering the effect of thermal radiation and inclined magnetic field will be discussed. In all the discussed problems, the governing nonlinear partial differential equations are solved by the Galerkin finite element method in space and the fully implicit Crank-Nicolson scheme in time. The discretized systems of nonlinear equations are linearized by means of Newton’s method and the associated linear subproblems are solved with the help of Gaussian elimination method. The effect of physical parameters on the fluid flow has been investigated and discussed in detail by means of streamlines, isotherms and plots. The optimization of the thermodynamic efficiency of a system is today’s requirement. The entropy generation reduces this efficiency, therefore, it becomes necessary to reduce the entropy generation. To do this, one has to carefully measure the entropy generation in a process. Due to this motivation, calculation of entropy generation due to heat transfer, fluid friction and magnetic field has also been taken into account in some part of the study along with other physical effects.

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