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Numerical and Computational Fluid Dynamics Modal for Thermal Energy in a 3-D Array in a Frozen Lake

Author(s): Chamika De Costa

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Keywords: CFD; TVD schemes; Fluid velocity simulations scenarios

Abstract: The purpose of this project is to create a CFD program that can simulate Heat flow in a fluid volume. This is to overall optimize energy consumption in a control volume while regulating temperature. Modeling heat flow in a medium is a complicated process. It is essential that all aspects of heat flow, such as conduction, convection and radiation has to be covered in order to accurately predict heat flow. Computational Fluid Dynamics (CFD) enables us to iterate a solution many times quickly and therefore we are capable of solving complicated problems in minutes. However, equations such as turbulence equations of fluids and the heat transfer equations have to be changed into iterable forms and combined into one formula to make a functioning CFD model. This paper will concentrate on the process of deriving such formula. The paper will also discuss the advantages and disadvantages of the model and how it will be used in further research in the future. The modal will be used to simulate heat flow within a frozen lake through a season, with estimation of how much ice will be formed as well as the minimum and max temperature profile of the lake. The results will be compared with analytical results. The paper will be using Finite Difference Method (FDM) with the help of Tailor expansion to derive the model. The derivative will be similar to Probability density modal as well as the combination of Prandtl’s one equation model. The basic equation will be confirmed with Navier Stokes equation. The final discussions will outlive why there are inaccuracies in the derived modal, but how it can be neglected in specific

DOI:

Year: 2013

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