Abstract
The calculation of fluence rate in the photochemical reactor using ultraviolet (UV) radiation for disinfection of water for the case, when a cylinder of infinite length is used as a light source, has been considered. Such a cylinder is filled with an isotropically radiating medium. The dependence of the fluent rate on the diameter of the radiating cylinder has been analytically analyzed. The limiting case when the diameter of the radiating cylinder tends to zero has been considered and the notion of “effective interval” has been introduced. Based on this notion, the comparison of fluence rates for the cylinders of finite and infinite lengths has been performed. In the calculations of fluence rate, it is advisable to use the Chebyshev method for the operations of numerical integration.
Highlights
In a normal design process, the last stage is the certification of the reactor for a certain set of operational parameters
Let us use the concept of the effective interval for the estimation of the fluence rate along the line m − m, which is parallel to the axis of the radiating cylinder of finite length (Figure 7), and calculate the values of Eline, Er, and zmax by means of formulas (32), (38), and (40)
If the length of radiating cylinder is greater than the effective interval, the plot of fluence rate along the line m − m has the form of trapezium with curvilinear lateral sides
Summary
In a normal design process, the last stage is the certification of the reactor for a certain set of operational parameters. Biodosimetric tests are used for this purpose [1, 2] If such certification fails, a certain part of the design process has to be repeated. The available increasingly powerful numerical simulation techniques enable the designer to predict reactor performance under certain operating conditions without incurring the high cost of prototype construction and certification. The model of ultraviolet source (usually a lamp) is the significant element in the simulation of intensity distribution of UV radiation in a photoreactor [4, 5]. The goal of this work was to study analytically the model of radiation source in a form of infinite cylinder with regard to the distribution of fluence rate in a photoreactor. A more simple case when the surface of the cylinder represents the diffuse radiator will be analyzed in the posterior paper
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