Numerical analysis of combined natural and marangoni convection in trapezoidal enclosure with nanofluids / Sharifah Dini Afiqah Syed Zaharuddin

Sharifah Dini Afiqah , Syed Zaharuddin (2024) Numerical analysis of combined natural and marangoni convection in trapezoidal enclosure with nanofluids / Sharifah Dini Afiqah Syed Zaharuddin. Masters thesis, Universiti Malaya.

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Abstract

Combined natural and Marangoni convection phenomena have been examined within a right-angled trapezoidal enclosure filled with water-based nanofluids. The alumina water-based nanofluid is used throughout this study. The model is configured in such a way that the top and bottom walls are fixed to be adiabatic, the left vertical wall of the trapezoidal enclosure is heated uniformly, the right inclined wall is cooled at a constant temperature, and the surface tension gradient is added at the top wall. It is presumed that the flow will be incompressible, two-dimensional, laminar, and Newtonian. A number of the physical parameters are subjected to change to investigate each variable’s impact on the total heat transfer rate. The shape and volume fraction of the nanoparticles, the enclosure aspect ratio, the tangential surface tension strength, and the top wall length are all systematically manipulated to locate the parameter combinations that are the most appropriate for specific applications. The physical model that is being suggested is used as the basis for deriving the governing equations and boundary conditions. The controlling set of partial differential equations is dimensionless by using appropriate dimensionless variables. The derived nondimensionalised equations are then solved numerically using the finite element method (FEM) for the two-dimensional numerical approach. A suitable numerical approach is designed to discover the analytical solution of heat transfer and fluid flow in the enclosure. The numerical results are validated by comparing them with prior published investigations. The flow and temperature, including the heat transfer rate inside the enclosure, are recorded graphically.

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