**Problem 4.14 - The BSU Geothermal Heat Pump System
(Wintertime)**

Recall **Problem
4:13** in which we evaluated the summertime
operation of a geothermal heat pump system modeled after the system
currently under construction at **Ball
State University** in Indiana. It's purpose
is to provide hot water at 65°C year round together with
air-conditioning during summer and space heating during winter.

In this exercise we wish to evaluate the system for wintertime operation, in which we wish to provide hot water at 65°C as well as space heating at above 20°C, while the outdoor air temperature could be as low as -10°C. In this operation we introduce two double-port control valves as shown below, to switch between summertime and wintertime operation, in which the geothermal heat source now becomes the evaporating section of the heat pump, and the refrigerant subcooler now heats the water system used for space heating.

Note again that this system was devised by us for
purposes of this exercise only, and no data about the system was
obtained from BSU. We used the **Refrigerant
R134a**, since this was the only
refrigerant for which we had tables available. In fact we had to add
new data to our tables, since with a limit of 1.6 MPa we could not
reach the required temperature of 65°C. Note that the mass flow and
actual power required is not specified, thus this model will
represent a system suitable for any size. All energy results will be
in units of kJ/kg.

Using the conditions shown on the diagram do the following

a) On the

*P-h*diagram provided below carefully plot the five processes of the heat pump together with the following constant temperature lines: 65°C (hot water), 13°C (ground loop), and -10°C (outside air).b) Using the

**R134a property tables**determine the enthalpies at all five stations and verify and indicate their values on the*P-h*diagram.c) Determine the specific work done to drive the compressor [-43.8 kJ/kg].

d) Determine the Coefficient of Performance of the hot water heating system (COP

_{HW}) (defined as the heat absorbed by the hot water divided by the specific work done to drive the compressor)[COP_{HW}= 3.4]e) Determine the Coefficient of Performance of the space heating water system (COP

_{HP}) (defined as the heat absorbed by the space heating water in subcooling the refrigerant to 20°C divided by the specific work done to drive the compressor).[COP_{HP}= 1.56]f) In the event that no geothermal ground loop is used to evaporate the refrigerant then the system would need to be redesigned, reducing inlet to the compressor (1) from 360 kPa to 140kPa, saturated vapor, and the compressor outlet (2) to 2.0 MPa, 90°C. Carefully plot this new cycle on the

*P-h*diagram.g) Using the

**R134a property tables**determine the specific work done to drive the compressor under the new conditions presented in 6) above [-71 kJ/kg].h) Using the new conditions presented in 6) above determine the Coefficients of Performance of both the hot water and space heating systems and discuss the advantages of using a geothermal ground loop for wintertime operation.[COP

_{HW}= 2.3, COP_{HP}= 0.96]

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