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THE MATHEMATICAL MODEL OF COOLING RECYCLED WATER IN A COOLING TOWER WITH MECHANICAL TRACTION

https://doi.org/10.20914/2310-1202-2014-1-51-55

Abstract

Summary. Analyzed the process of cooling recycled water in the block of cooling towers with forced draft as a control object. Established that for a given construction of the cooling tower its work determined by the ratio of mass flows of water and air. Spending hot water in tower on cooling and rotation speed of shafts of fans are control actions in the waterblock. Controlled perturbation - temperature, humidity, barometric pressure, air temperature and pressure hot water. Uncontrolled disturbance - change of total heat transfer coefficients in the cooling towers, wind speed and direction, formation of ice on the input windows. Mathematical model of cooling process describes the joint heat-and-mass transfer in cooling tower, current water film, the deposition of water droplets, the consumption of electric energy by fan unit allows to optimize the process of cooling through minimizing the total value of active electric power consumed by all cooling towers. It is based on the modified equation of Merkel, equations of Klauzir-Clapeyron, Navier-Stokes. Model is valid under the assumption that the temperature of the water at the interface is equal to the weight average temperature of water, with the air at the interface is saturated. Accepted that the heat flow from the water to the air along the normal to the boundary surface depends on the difference of enthalpy of these environments at the edge of the boundary surfacesection and the weight average enthalpy, water and air are distributed evenly over the crosssectional area of the sprinkler. Development takes into account peculiarities of fluid motion in the sprinkler and allows to determine the adiabatic saturation temperature of the air by the method of "wet" thermometer without its direct measurement. The model is applicable to control the cooling process in real-time.

About the Authors

V. K. Bitiukov
Voronezh state university of engineering technology
Russian Federation
professor
Department of information and control systems
phone (473) 255-38-75


S. G. Tikhomirov
Voronezh state university of engineering technology
Russian Federation
professor
Department of information and control systems
phone (473) 255-38-75


S. S. Savvin
Voronezh state university of engineering technology
Russian Federation
graduate
Department of information and control systems
phone (473) 255-38-75


D. V. Arapov
Voronezh state university of engineering technology
Russian Federation
associate Professor
Department of information technologies, modeling and control
phone (473) 255-25-50


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Review

For citations:


Bitiukov V.K., Tikhomirov S.G., Savvin S.S., Arapov D.V. THE MATHEMATICAL MODEL OF COOLING RECYCLED WATER IN A COOLING TOWER WITH MECHANICAL TRACTION. Proceedings of the Voronezh State University of Engineering Technologies. 2014;(1):51-55. (In Russ.) https://doi.org/10.20914/2310-1202-2014-1-51-55

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ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)