Method for configuring the size of a heat transfer surface
A method is disclosed for producing a heat exchanger having at least one heat transfer surface, wherein the heat is used in a thermodynamic process that uses a fluid that is condensed, expanded, evaporated, and compressed in a cycle process. The area of the heat transfer surface may be dimensioned with respect to a minimum surface area measurement of the heat transfer surface, the minimum surface area measurement being required at least for transmitting a minimum heat quantity to the fluid used with the heat exchanger in order to prevent a condensation of the fluid before, during, and after the compression process. The area of the heat transfer surface may be dimensioned based on a correlation between the molar mass of the fluid and the minimum surface area measurement of the heat transfer surface.
1. A method for producing a heat exchanger to be used in a thermodynamic process that uses a fluid that is condensed, expanded, evaporated and compressed in a cycle process comprising: selecting a surface size of a heat transfer surface of the heat exchanger, including: determining a minimum surface area of the heat transfer surface, the minimum surface area enabling a defined minimum amount of heat transfer to the fluid to be used with the heat during the thermodynamic process in order to prevent condensation of the fluid before, after, and during the compression of the fluid in the cycle process, performing a correlation between the molar mass of the fluid and the determined minimum surface area of the heat transfer surface, and selecting the surface size of the heat transfer surface based at least on the determined minimum surface area and the correlation between the molar mass of the fluid and the determined minimum surface area, and producing the heat exchanger with the heat transfer surface having the selected size.
2. The method of claim 1 , wherein the molar mass of the fluid is initially correlated with an inverse slope of a saturated vapor line of the fluid.
3. The method of claim 2 , wherein the inverse slope of the saturated vapor line is additionally correlated with a minimum required temperature increase of the fluid starting from a given temperature, which minimum required temperature increase prevents condensation of the fluid before, after, and during the compression of the fluid.
4. The method of claim 3 , wherein the minimum required temperature increase is additionally correlated with a minimum required enthalpy difference that represents a required amount of heat transfer to the fluid to prevent condensation of the fluid before, after, and during the compression of the fluid.
5. The method of claim 4 , wherein the minimum required enthalpy difference is correlated with the minimum surface area.
6. The method of claim 5 , wherein the correlation between the minimum required enthalpy difference and the minimum surface area is based on the relationship {dot over (m)}·minΔh=k·A·ΔT,
wherein
{dot over (m)}=fluid mass flow rate,
minΔh=minimum required enthalpy difference,
k=heat transfer coefficient,
A=minimum surface area, and
ΔT=temperature difference between a high-temperature side and a low-temperature side of the heat transfer surface.
7. The method of claim 1 , wherein the correlation between the molar mass of the fluid and the minimum surface area includes a constraint based on at least one of the temperature of the fluid after the evaporation, a particular heat transfer coefficient, or a particular temperature difference between a high-temperature side and a low-temperature side of the heat transfer surface.
8. The method of claim 1 , wherein the correlation is performed for a fluid having a molar mass of more than 150 g/mol.
9. A heat exchanger for use in a thermodynamic process in which a fluid is condensed, expanded, evaporated and compressed in a cycle process, wherein the heat exchanger comprises at least one heat transfer surface, the heat exchanger produced by a method comprising:
selecting a surface size of a heat transfer surface of the heat exchanger, including:
determining a minimum surface area of the heat transfer surface, the minimum surface area enabling a defined minimum amount of heat transfer to the fluid to be used with the heat exchanger during the thermodynamic process in order to prevent condensation of the fluid before, after, and during the compression of the fluid in the cycle process, performing a correlation between the molar mass of the fluid and the determined minimum surface area of the heat transfer surface, and
selecting the surface size of the heat transfer surface based at least on the determined minimum surface area and the correlation between the molar mass of the fluid and the determined minimum surface area, and
producing the heat exchanger with the heat transfer surface having the selected size.
10. The heat exchanger of claim 9 , wherein the molar mass of the fluid is initially correlated with an inverse slope of a saturated vapor line of the fluid.
11. The heat exchanger of claim 10 , wherein the inverse slope of the saturated vapor line is additionally correlated with a minimum required temperature increase of the fluid starting from a given temperature, which minimum required temperature increase prevents condensation of the fluid before, after, and during the compression of the fluid.
12. The heat exchanger of claim 11 , wherein the minimum required temperature increase is additionally correlated with a minimum required enthalpy difference that represents a required amount of heat transfer to the fluid to prevent condensation of the fluid before, after, and during the compression of the fluid.
13. The heat exchanger of claim 12 , wherein the minimum required enthalpy difference is correlated with the minimum surface area.
14. The heat exchanger of claim 13 , wherein the correlation between the minimum required enthalpy difference and the minimum surface area is based on the relationship {dot over (m)}·minΔh=k·A·ΔT,
wherein
{dot over (m)}=fluid mass flow rate,
minΔh=minimum required enthalpy difference,
k=heat transfer coefficient,
A=minimum surface area, and
ΔT=temperature difference between a high-temperature side and a low-temperature side of the heat transfer surface.
15. The heat exchanger of claim 9 , wherein the correlation between the molar mass of the fluid and the minimum surface area includes a constraint based on at least one of the temperature of the fluid after the evaporation, a particular heat transfer coefficient, or a particular temperature difference between a high-temperature side and a low-temperature side of the heat transfer surface.
16. The heat exchanger of claim 9 , wherein the correlation is performed for a fluid having a molar mass of more than 150 g/mol.
17. Use of a heat exchanger in a thermodynamic process in which a fluid is condensed, expanded, evaporated and compressed in a cycle process, wherein the heat exchanger comprises at least one heat transfer surface, the heat exchanger produced by a method comprising:
selecting a surface size of a heat transfer surface of the heat exchanger, including:
determining a minimum surface area of the heat transfer surface, the minimum surface area enabling a defined minimum amount of heat transfer to the fluid to be used with the heat exchanger during the thermodynamic process in order to prevent condensation of the fluid before, after, and during the compression of the fluid in the cycle process, performing a correlation between the molar mass of the fluid and the determined minimum surface area of the heat transfer surface, and
selecting the surface size of the heat transfer surface based at least on the determined minimum surface area and the correlation between the molar mass of the fluid and the determined minimum surface area, and
producing the heat exchanger with the heat transfer surface having the selected size.