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Innovatsion texnologiyalar №1 (29) 2018 y



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Innovatsion texnologiyalar №1 (29) 2018 y.
22 
___________________ENERGETIKA / ЭНЕРГЕТИКА__________________ 
In addition to the use of special river heat exchanger experimental setup is also was 
distinguished by several technical solutions, which are usually not used in classical heat pump 
systems, but which provide certain advantages and also serve as a subject of research. Such 
solutions are, for example, as below: – the use of variable frequency compressor and circulating 
pump of low-temperature circuit; – direct heating of the internal air in the heat exchanger-condenser 
of the heat pump without the use of intermediate contours and closed vent system to distribute 
warm air around the house; – the ability to connect of additional sources of low-grade heat.
Fig. 7. Experimental sample of the floating heat exchanger. 
For this scheme the efficiency of the entire system depends on parameters such as the size and 
configuration of the submersible heat exchanger, the composition and specific consumption of heat 
carrier and others. The total coefficient of performance (COP) of the whole installation is also 
affected by the power required for circulation. To determine the best configuration and optimization 
of all parameters for the specific initial conditions previously a special calculation program in 
MathCAD was compiled [4]. Process of the heat carrier heating in a coil-pipe, not covered by ice, is 
described by the expression as below: 


π
( )
( )
R
d K T
T x
dT x
dx
G C
  




(1) 
where
( )
T x
– temperature of heat carrier along the path through the heat exchanger; d – average 
pipe diameter; – coefficient of heat transfer from water to heat carrier; – outdoor water 
temperature;
G
– flow speed of the heat carrier;
C
– specific heat of heat carrier. 
In cold countries such as Russia, Finland, Sweden, etc. the operation of the designed system 
can be associated with the possibility of the system frosting, that is, with a formation of layer of 
ice of different thicknesses on the walls of the heat exchanger, which are located in water [5]. 
To design the heat exchangers, taking into account the possibility of forming an ice layer on the coil 
surface, another differential equation was derived: 










π
2
( )
( )
273.15
( )
O
I
R
I
I
d
T x
T x
T
dT x
dx
G C


  







(2) 
where
( )
T x
– temperature of heat carrier depending on the path traveled through the heat exchanger; 
O
d
– outside pipe diameter; 


( )
I
T x

– steady-state thickness of the ice layer on the surface of the



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