Abstract

Immense information and details observation of flow physics inside a draining tank can be achieved by adopting reliable numerical simulations. Yet the accuracy of numerical results has been always debatable and it is mainly affected by the grid convergence error and computational modeling approaches. Hence, this study is divided into two stages. In the first stage, this paper determines a systematic method of refining a computational grid for a liquid draining inside a tank using OpenFOAM software. The sensitivity of the computed flow field on different mesh resolutions is also examined. In order to study the effect of grid dependency, three different grid refinements are investigated: fine, medium and coarse grids. By using a form of Richardson extrapolation and Grid Convergence Index (GCI), the level of grid independence is attained. In this paper, a monotonic convergence criteria is reached when the fine grid has the GCI value below 10% for each parameter. In the second stage, different computational modeling approaches (DNS, RANS k-ε, RANS k-ω and LES turbulence models) are investigated using the finer grid from the first stage. The results for the draining time and flow visualization of the generation of an air-core are in a good agreement with the available published data. The Direct Numerical Simulation (DNS) seems most reasonably satisfactory for VOF studies relating air-core compared to other different turbulence modeling approaches.

Highlights

  • The use of cylindrical tank has grown over the past three decades

  • Hyun et al [3] have compared the simulation of flow inside the liquid draining tank using turbulence models and Direct Numerical Simulation (DNS)

  • Grid Convergence Index (GCI) method by Roache [8] is based on grid refinement error estimator derived from the generalized Richardson Extrapolation (RE)

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Summary

Introduction

The use of cylindrical tank has grown over the past three decades. The liquid draining tank is one of the most command tanks that is frequently used in various engineering applications. The generation of an air-core vortex is a flow phenomenon that frequently occurs inside the liquid draining tanks. Hyun et al [3] have compared the simulation of flow inside the liquid draining tank using turbulence models and DNS. This brings to the objective of the study, which will concentrate on the assessment of the grid dependence and computational modelling approaches These must be done in a much systematic method in order to reproduce the generation of air-core inside the tank. In order to reproduce the generation of the air-core, initial rotation with the speed of 120 RPM is imparted to the wall of the tank before the liquid is started to drain [10].

Solution methodology
Mesh descriptions
Results and discussions
Comparison of drainage time
Flow visualization of air-core formation
Velocity vector inside the tank
Findings
Conclusions
Full Text
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