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An Analytical Approach to Wet Cooling Towers Based on Functional Analysis

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Listed:
  • Guo Qianjian
  • Xiaoni Qi
  • Zheng Wei
  • Peng Sun

Abstract

An analytical solution for computing the temperature distribution of air and water over the height through the cooling tower is so complex that finding the exact solution takes too much time. The purpose of this paper is to present efficient and accurate analytical expressions for the heat and mass transfer model in cooling towers. Based on the method of functional analysis, we derived an analytical solution for temperature distribution of water and air by using the method of solving linear differential equations. The error estimation, the existence, and uniqueness of the solution are given by using contraction mapping theorem. The basic equation of the model on the basis of the additional assumptions on the cooling tower is solved, and the outlet parameters are also obtained.

Suggested Citation

  • Guo Qianjian & Xiaoni Qi & Zheng Wei & Peng Sun, 2019. "An Analytical Approach to Wet Cooling Towers Based on Functional Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:8372093
    DOI: 10.1155/2019/8372093
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    Cited by:

    1. Fan, Chengliang & Hinkelman, Kathryn & Fu, Yangyang & Zuo, Wangda & Huang, Sen & Shi, Chengnan & Mamaghani, Nasim & Faulkner, Cary & Zhou, Xiaoqing, 2021. "Open-source Modelica models for the control performance simulation of chiller plants with water-side economizer," Applied Energy, Elsevier, vol. 299(C).
    2. Salins, Sampath Suranjan & Reddy, S.V. Kota & Kumar, Shiva, 2022. "Modelling of a multistage reciprocating humidifier and performance analysis for various packing configurations," Energy, Elsevier, vol. 241(C).

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