Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow ()

Arif Widiatmojo, Kyuro Sasaki, Nuhindro Priagung Widodo, Yuichi Sugai

Department of Earth Resources Engineering, Faculty of Engineering, Kyushu University, Fukuoka, Japan.

Department of Mining Engineering, Faculty of Mining and Petroleum Engineering,Institut Teknologi Bandung, Bandung, Indonesia.

**DOI: **10.4236/jfcmv.2013.12008
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Department of Earth Resources Engineering, Faculty of Engineering, Kyushu University, Fukuoka, Japan.

Department of Mining Engineering, Faculty of Mining and Petroleum Engineering,Institut Teknologi Bandung, Bandung, Indonesia.

Diffusion of a solute in turbulent flows through a circular pipe or tunnel is an important aspect of environmental safety. In this study, the diffusion coefficient of turbulent flow in circular pipe has been simulated by the Discrete Tracer Point Method (DTPM). The DTPM is a Lagrangian numerical method by a number of imaginary point displacement which satisfy turbulent mixing by velocity fluctuations, Reynolds stress, average velocity profile and a turbulent stochastic model. Numerical simulation results of points’ distribution by DTPM have been compared with the analytical solution for turbulent plug-flow. For the case of turbulent circular pipe flow, the appropriate DTPM calculation time step has been investigated using a constantβ, which represents the ratio between average mixing lengths over diameter of circular pipe. The evaluated values of diffusion coefficient by DTPM have been found to be in good agreement with Taylor’s analytical equation for turbulent circular pipe flow by givingβ=0.04 to 0.045. Further, history matching of experimental tracer gas measurement through turbulent smooth-straight pipe flow has been presented and the results showed good agreement.

Keywords

Discrete Tracer Point Method (DTPM); Turbulent Diffusion; Pipe; Numerical Simulation; Airflow

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A. Widiatmojo, K. Sasaki, N. Priagung Widodo and Y. Sugai, "Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow," *Journal of Flow Control, Measurement & Visualization*, Vol. 1 No. 2, 2013, pp. 57-68. doi: 10.4236/jfcmv.2013.12008.

Conflicts of Interest

The authors declare no conflicts of interest.

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