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Random walk particle tracking simulation on scalar diffusion with irreversible first-order absorption boundaries.

Yu-Fei Wang1,2,3, Wen-Xin Huai4

  • 1State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China.

Environmental Science and Pollution Research International
|October 7, 2019
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Summary

This study uses the random walk particle tracking method to analyze scalar transport in open channels with absorption boundaries. Results show key transport coefficients stabilize at dimensionless times around 0.5.

Keywords:
Absorption boundariesRandom walk particle trackingTaylor dispersion

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Area of Science:

  • Environmental science
  • Fluid dynamics
  • Physical chemistry

Background:

  • Scalar transport in open channels is crucial for understanding contaminant and nutrient movement.
  • First-order absorption boundaries significantly influence solute plume behavior.
  • Existing asymptotic formulations require validation for pre-asymptotic transport dynamics.

Purpose of the Study:

  • To investigate scalar transport in open channels with irreversible first-order absorption boundaries.
  • To provide pre-asymptotic behavior of scalar transport.
  • To compare random walk particle tracking (RWPT) results with existing asymptotic formulations.

Main Methods:

  • The random walk particle tracking (RWPT) method was employed.
  • The model simulates particle absorption probability at boundaries.
  • Three key parameters of scalar transport were simulated: attenuation, effective velocity, and longitudinal dispersion coefficients.

Main Results:

  • Numerical results align with theoretical solutions for large Peclet numbers.
  • Key transport coefficients (attenuation, effective velocity, dispersion) stabilize at dimensionless times (τ) of approximately 0.5.
  • A Damkohler number of around 100 indicates boundary behavior can be treated as fully absorptive.

Conclusions:

  • The RWPT method accurately captures scalar transport dynamics with absorption boundaries.
  • Dimensionless time and Damkohler number are critical parameters in determining transport behavior and boundary conditions.
  • The study provides insights into pre-asymptotic transport, enhancing existing models.