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Mathematical Modelling of Chlorine Decay in a Contact Tank

In: Differential Equations Theory, Numerics and Applications

Author

Listed:
  • Ahmad Izani Bin Md. Ismail

    (Universiti Sains Malaysia, School of Mathematical Sciences)

  • Roger A. Falconer

    (University of Bradford, Department of Civil Engineering)

Abstract

Recently concerns have been expressed regarding the side-effects of some disinfectants used to disinfect drinking water supply. Chlorine is, by far, the most common disinfectant used in the disinfection of drinking water supply. The purpose of a chlorine contact tank is to allow sufficient time for chlorine to achieve full disinfection before the water enters the distribution network. Mathematical models are increasingly being used in the design of efficient chlorine contact tanks. The transport of chlorine in a contact tank is governed by an advective-diffusion partial differential equation with a decay term. In this paper details are given of the application of a finite difference scheme — a 2-D semi-time-centred implicit QUICK scheme — to predict the decay of chlorine as it is being transported from the inlet to the outlet of a scaled serpentine contact tank. The scheme is shown to give stable and reasonable results.

Suggested Citation

  • Ahmad Izani Bin Md. Ismail & Roger A. Falconer, 1997. "Mathematical Modelling of Chlorine Decay in a Contact Tank," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 311-323, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_19
    DOI: 10.1007/978-94-011-5157-3_19
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