Abstract
The aim of this article is to develop an accurate and fast analytical method for heat and mass transfer model in a cooling tower energy system. Some algebraic explicit analytical solutions of the one-dimensional differential equation sets describing the coupled heat and mass transfer process in a cooling tower are derived. The explicit solutions have not yet been published before. The explicit equations of heat and mass transfer are expressed in elementary functions. By solving these differential equations in a cooling tower, the temperature distribution of liquid and gas, the moisture content in the air can be obtained in each section over the vertical height of the tower. A comparison of analytical and experimental results was given in this article, and good agreements were shown for the typical cases studied. The analytical solutions can serve as a benchmark to check the results of numerical calculation.
Highlights
A cooling tower is an essential device used for heat dissipation in the industrial process[1]
Different filling materials are used at the top and at the bottom of the cooling tower
Since the information detail about the bottom filling is not given in the article, we will only compare the experimental results at the top with the analytical solution
Summary
Prediction of performance behavior of cooling towers by fast and accurate calculating methods plays an important role in the effective design and operation. The cooling process can be expressed by physical—mathematical models and basic partial differential equation sets. It is very difficult or even impossible to obtain the analytical solutions for these differential equation sets for arbitrary initial and boundary conditions. Most solutions are numerical ones for specific conditions. Because of the nonlinear relationship between the various factors, almost all the researchers use the numerical method to simulate the performance of the cooling tower
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